U.S. patent number 3,618,097 [Application Number 04/289,772] was granted by the patent office on 1971-11-02 for antenna array system.
This patent grant is currently assigned to Raytheon Company. Invention is credited to Willard W. McLeod, Jr..
United States Patent |
3,618,097 |
McLeod, Jr. |
November 2, 1971 |
ANTENNA ARRAY SYSTEM
Abstract
1. In combination: First oscillator means for generating a first
signal; Second oscillator means for generating a second signal;
Means for obtaining frequency multiples of said first and second
signals; Means for mixing predetermined multiples of said first
signal with predetermined multiples of said second signal to derive
a set of signals differing in frequency by an amount equal to the
frequency difference between said first and second signals; And
means for varying the frequency of at least one of said first and
second signals.
Inventors: |
McLeod, Jr.; Willard W.
(Lexington, MA) |
Assignee: |
Raytheon Company (Lexington,
MA)
|
Family
ID: |
23113017 |
Appl.
No.: |
04/289,772 |
Filed: |
June 17, 1963 |
Current U.S.
Class: |
342/371;
342/373 |
Current CPC
Class: |
H01Q
3/22 (20130101) |
Current International
Class: |
H01Q
3/22 (20060101); H01q 003/26 () |
Field of
Search: |
;343/100.6,16.1,854 |
References Cited
[Referenced By]
U.S. Patent Documents
Primary Examiner: Tubbesing; T. H.
Claims
What is claimed is:
1. In combination:
first oscillator means for generating a first signal;
second oscillator means for generating a second signal;
means for obtaining frequency multiples of said first and second
signals;
means for mixing predetermined multiples of said first signal with
predetermined multiples of said second signal to derive a set of
signals differing in frequency by an amount equal to the frequency
difference between said first and second signals;
and means for varying the frequency of at least one of said first
and second signals.
2. In combination:
first oscillator means for generating a first signal;
second oscillator means for generating a second signal;
means for deriving signals proportional to multiples of the
frequency of said first signal;
means for deriving signals proportional to multiples of the
frequency of said second signal;
means for mixing predetermined multiples of said first signal with
predetermined multiples of said second signal to derive a set of
signals differing in frequency an amount proportional to the
frequency difference between the first and second signals;
means for varying the frequency of at least one of said first and
second signals;
and a radiant element for receiving each of said frequency
difference signals.
3. In combination:
first oscillator means for generating a first signal;
second oscillator means for generating a second signal;
means for obtaining frequency multiples of said first and second
signals;
means for mixing predetermined multiples of said first signal with
predetermined multiples of said second signal to derive a set of
signals proportional to the frequency difference between the said
first and second signals;
means for varying the frequency of at least one of said first and
second signals;
coupler means having an input terminal and an output terminal for
receiving each of said frequency difference signals and for
providing a power split and phase reversal of signals applied to
said input terminal;
and element means for radiating signals, said element means coupled
to the output terminals of said coupler means.
4. In combination:
means for generating a fixed frequency signal;
means for generating a variable frequency signal;
means for multiplying said fixed frequency signal in individual
multiplier circuits to produce a first set of signals proportional
to frequency multiples of said fixed frequency signal;
means for multiplying said variable frequency signal in individual
multiplier circuits to produce a second set of separate signals
proportional to frequency multiples of the variable frequency
signal;
means for mixing selected ones of said first set of separate
signals with selected ones of said second set of signals to produce
sum and difference frequency signals thereof;
and means for filtering out selected ones of said sum and
difference frequency signals to derive a set of frequency signals
proportional to said fixed frequency signal and a progressive
multiple of the frequency difference between said fixed frequency
signal and said variable frequency signal.
5. In combination:
means for generating a fixed frequency signal;
means for generating a variable frequency signal;
means for mixing said fixed frequency signal with said variable
frequency signal to produce sum and difference products of such
signals;
filter means for filtering out one of said products to derive a
frequency difference signal;
means for multiplying said fixed frequency signal in individual
multiplier circuits to produce a first set of separate signals
proportional to multiples of said fixed frequency signal;
means for multiplying said variable frequency signal in individual
multiplier circuits to produce a second set of separate signals
proportional to multiples of the variable frequency signal;
means for mixing selected ones of said first set of separate
signals with selected ones of said second set of separate signals
to produce sum and difference frequency signals thereof;
and means for filtering out selected ones of said sum and
difference frequency signals to derive a set of frequency signals
proportional to said fixed frequency signal and a progressive
multiple of said frequency difference signal.
6. In combination:
means for generating a fixed frequency signal;
means for generating a variable frequency signal;
means for mixing said fixed frequency signal with said variable
frequency signal to produce sum and difference products of such
signals;
filter means for filtering out one of said products to derive a
first frequency difference signal;
means for multiplying said fixed frequency signal in individual
multiplier circuits to produce a first set of signals proportioned
to multiples of said fixed frequency signal;
means for multiplying said variable frequency signal in individual
multiplier circuits to produce a second set of separate signals
proportioned to multiples of the variable frequency signal;
means for mixing selected ones of said first set of separate
signals with selected ones of said second set of signals to produce
sum and difference frequency signals thereof;
means for filtering out selected ones of said sum and difference
frequency signals to derive a set of frequency signals proportional
to said fixed frequency signal and a progressive multiple of said
first frequency difference signal;
and means for varying said variable frequency signal so as to vary
the value of said first frequency difference signal.
7. In combination:
means for generating a fixed frequency signal;
means for generating a variable frequency signal;
means for mixing said fixed frequency signal with said variable
frequency signal to produce sum and difference products of such
signals;
filter means for filtering out one of said products to derive a
frequency difference signal;
first multiplier means for generating a plurality of frequency
signals each proportional to a multiple of said variable frequency
signal; second multiplier means for generating a plurality of
frequency signals each proportional to a multiple of said fixed
frequency signal;
mixer means for mixing selected ones of said first multiplier means
signals with selected ones of said second multiplier means signals
to derive sum and difference products of said selected signals;
means for passing one of said mixer products of each of said
selected and mixed signals to derive a set of discrete frequency
signals proportional to said fixed frequency signal and a
progressive multiple of said frequency difference signal;
and means for varying said variable frequency signal so as to vary
the value of said frequency difference signal.
8. In combination:
means for generating a fixed frequency signal;
means for generating a variable frequency signal;
means for mixing said fixed frequency signal with said variable
frequency signal to produce sum and difference products of such
signals;
filter means for filtering out one of said products to derive a
frequency difference signal;
means for multiplying said fixed frequency signal in individual
multiplier circuits to produce a first set of signals proportional
to multiples of said fixed frequency signal;
means for multiplying said variable frequency signal in individual
multiplier circuits to produce a second set of separate signals
proportional to multiples of the variable frequency signal;
means for mixing selected ones of said first set of separate
signals with selected ones of said second set of signals to produce
sum and difference frequency signals thereof;
means for filtering out selected ones of said sum and difference
frequency signals to derive a set of discrete frequency signals
proportional to said fixed frequency signal and a progressive
multiple of said frequency difference signal;
element means for receiving individual ones of said discrete
frequency signals for providing an antenna array device producing a
sweeping radiant energy beam at a distance from such array which
beam sweeps at a rate proportional to said frequency difference
signal;
and means for varying the sweep rate of said radiant energy beam
comprising means for varying the frequency of said variable
frequency signal;
9. In combination:
means for generating a fixed frequency signal;
means for generating a variable frequency signal;
means for deriving a frequency difference signal proportional to
the frequency difference between said fixed frequency signal and
said variable frequency signal;
means for multiplying said fixed frequency signal in individual
multiplier circuits to produce a first set of signals proportional
to multiples of said fixed frequency signal;
means for multiplying said variable frequency signal in individual
multiplier circuits to produce a second set of separate signals
proportional to multiples of the variable frequency signal;
means for mixing selected ones of said first set of separate
signals with selected ones of said second set of signals to produce
sum and difference frequency signals thereof;
means for filtering out selected ones of said sum and difference
frequency signals to derive a set of discrete frequency signals
proportional to said fixed frequency signal and a progressive
multiple of said frequency difference signal;
means for coupling said set of discrete frequency signals to
elements of an antenna array to produce a progressive phase shift
across the antenna array;
and means for varying said progressive phase shift comprising means
for varying the frequency of said variable frequency signal.
10. Apparatus for generating a set of discrete frequency signals
comprising:
means for generating a control signal F .sub.0 ;
means for generating a frequency variable signal F .sub.0 +.DELTA.
which is frequency offset a predetermined amount .DELTA. from said
control signal;
multiplier means for deriving harmonics of said control signal and
said frequency variable signal;
and means for mixing selected harmonics of said multiplier means
with one another to derive the set of discrete frequency
signals.
11. Apparatus for generating a set of discrete frequency signals
comprising:
means for generating a control signal F.sub. 0 ;
means for generating a frequency variable signal F.sub. 0 +.DELTA.
which is frequency offset a predetermined amount .DELTA. from said
control signal;
mixer means for mixing the control signal with the frequency
variable signal to derive the offset signal .DELTA.;
multiplier means for deriving harmonics of said control signal and
said frequency variable signal;
means for mixing selected harmonics of said multiplier means with
one another to derive the set of discrete frequency signals;
and means for displaying the frequency and phase of said offset
signal .DELTA..
12. In combination:
first oscillator means for generating a first signal;
second oscillator means for generating a second signal;
a third oscillator means for generating a third signal; means for
deriving frequency multiples of said first, second and third
signals;
first mixer means for mixing predetermined multiples of said second
signal with predetermined multiples of said first signal to derive
a first set of signals proportional to the frequency difference
between said first and second signals;
second mixer means for mixing predetermined multiples of said first
signal with predetermined multiples of said third signal to derive
a second set of signals proportional to the frequency difference
between the first and third signals;
and matrix means for mixing selected ones of said first set of
signals with selected ones of said second set of signals to derive
a third set of signals proportional to the frequency difference
between said selected signals.
13. In combination:
means for generating a first signal;
means for generating a second signal;
means for generating a third signal;
means for deriving frequency multiples of said first, second and
third signals;
first mixer means for mixing predetermined multiples of said first
signal with predetermined multiples of said second signal to derive
a first set of signals proportional to the frequency difference
between the predetermined multiples mixed;
second mixer means for mixing predetermined multiples of said first
signal with predetermined multiples of said third signal to derive
a second set of signals proportional to the frequency difference
between the predetermined multiples mixed;
matrix means for mixing selected ones of said first set of signals
with selected ones of said second set of signals to derive a third
set of signals proportional to the frequency difference between
said selected signals;
and radiant element means for receiving each signal of said third
set of signals for providing a two-dimensional array having a beam
pattern which continuously sweeps across the array in one dimension
in proportion to the frequency difference between said first and
second signals and in the remaining dimension in proportion to the
frequency difference between said first and third signals.
14. In combination:
first oscillator means for generating a first signal;
second oscillator means for generating a second signal;
third oscillator means for generating a third signal;
means for deriving frequency multiples of said first, second and
third signals;
first mixer means for mixing predetermined multiples of said first
signal with predetermined multiples of said second signal to derive
a first set of signals proportional to the frequency difference
between the predetermined multiples mixed;
second mixer means for mixing predetermined multiples of said third
signal with predetermined multiples of said first signal to derive
a second set of signals proportional to the frequency difference
between the predetermined multiples mixed;
matrix means for mixing selected ones of said first set of signals
with selected ones of said second set of signals to derive a third
and fourth set of signals respectively proportional to the
frequency difference between said first and second signals and said
first and third signals;
phase-shifter means coupled to said first oscillator for phase
shifting said first signal a variable amount;
and switching means for uncoupling one of said second and third
signals from their respective mixer means and coupling in place
thereof the phase shifted signal from said phase shifter means.
15. In combination:
means for deriving a plurality of signals spaced apart in frequency
by progressive frequency differences;
an initial plurality of coupling means each having a pair of input
arms and a pair of output arms and responsive to signals applied to
said input arms so as to produce an output at only one output arm
when said applied signals are in-phase and an output only at the
other output arm when said applied signals are out-of-phase;
means for applying individual ones of said plurality of signals to
individual ones of said input arms;
and an additional plurality of coupling means each having a pair of
input arms and output arms, said input arms being coupled to
predetermined ones of said initial coupling means output arms.
16. In combination:
means for deriving a plurality of signals spaced apart in frequency
by progressive frequency differences;
an initial plurality of hybrid means, each having a pair of input
arms and a pair of output arms and responsive to signals applied to
said input arms so as to produce an output at only one output arm
when said applied signals are in phase and an output only at the
other output arm when said applied signals are out-of-phase;
means for coupling individual ones of said plurality of signals to
individual ones of said input arms;
an additional plurality of hybrid means each having a pair of input
arms and output arms, said input arms being coupled to
predetermined ones of said initial hybrid means output arms;
and antenna element means coupled to predetermined output arms of
said additional hybrid means.
17. In combination:
means for generating a first frequency signal;
means for generating a second frequency signal;
means for generating a third frequency signal;
means for deriving a first plurality of signals spaced apart in
frequency by progressive multiples of the frequency difference
between said first and second frequency signals;
means for deriving a second plurality of signals spaced apart in
frequency by progressive multiples of the frequency difference
between said first and third frequency signals;
matrix means for mixing selected ones of said first plurality of
signals with selected ones of said second plurality of signals to
derive a third plurality of signals proportional to the frequency
difference between said selected signals;
a plurality of radiant elements for receiving individual signals of
said third plurality of signals to provide a beam pattern which
sweeps across said radiant elements in two dimensions;
and means for controlling the rate of sweep of said beam in at
least one dimension comprising means for varying the frequency
difference between said first signal and at least one of said
second and third signals.
Description
This invention pertains to antenna array systems and more
particularly to means for electronically scanning such antenna
arrays.
An antenna array consists of a plurality of radiant elements
suitably spaced from one another. In an electronically scanned
array, the relative phase shift of the applied energy between
radiant elements is electronically controlled. By varying the
relative phase shift between elements in a suitable manner, the
desired radiation pattern from the combined action of all the
elements is obtained.
Prior art electronically scanned arrays may be classified as either
frequency or direct phase controlled devices. An example of a
direct phase controlled device is the Huggins electronic phase
shifter shown in FIG. 9 of the article "Recent Electronic Scanning
Developments" by J. Paul Shelton, Jr. and Kenneth S. Kelleher,
Conf. Proc., Fourth National Conv. on Military Electronics 1960. In
the Huggins device an input signal of frequency f.sub.0 , whose
phase is to be shifted an amount .phi., is mixed with a control
signal of frequency f.sub.c in a first mixer. A portion of the
control frequency is passed through a delay line of length .tau..
The output of the delay line is a signal of frequency f.sub.c with
a phase delay .phi. equal to 2.pi.f.sub.c .tau.. The phase-shifted
control signal and the output of the first mixer are heterodyned in
a second mixer. If the sum frequency is selected from the first
mixer, the difference frequency is selected from the second mixer.
The resultant output of the second mixer is a signal with the same
frequency as the input signal f.sub.0 , but with the phase advanced
by an amount .phi.. The input signal and the control signal are fed
to successive stages of time delay devices and mixers respectively
with appropriately incrementally advanced or delayed phase shifted
signals being tapped off at the respective second mixers and
coupled to radiant elements to obtain the desired electronically
controlled relative phase shift between elements. In the Huggins
device as thus described, in order to scan the array, it is
necessary to shift the frequency of the control signal. In other
words, the pattern of the radiant elements is not automatically and
continuously varied without continuously shifting the frequency of
the control signal. If phase is continuously varied between radiant
elements of the array the beam will be continuously scanned. A
similar result may be obtained by establishing a properly phased
frequency shift between each element so that the beam is
periodically scanned without the necessity of continuously shifting
the frequency of the control signal since a continuous phase shift
is by definition a frequency shift. It is therefore an object of
the invention to obtain an improved array, the scanning of which is
relatively simple to control.
In the apparatus of the present invention a radiation pattern is
obtained which is continuously and automatically varied across the
array at a speed proportional to the frequency difference between a
first control signal and a second control signal. In this manner
the need for continuously shifting the frequency of the control
signal, as required in the Huggins device, is obviated and a
simpler mode of operation is thereby realized. In order to obtain
the aforesaid continuous mode of operation, use is made of the
principle that a phase shift between adjacent antenna elements may
be effectively produced by separately producing a plurality of
discrete frequency signals, each signal being frequency separated
from one another by a progressive fixed difference such as the set
of signals F.sub. 0 +n .DELTA., F.sub. 0 + (n +1 ).DELTA. , F.sub.
+(n +2 ).DELTA. ,... F.sub.0 +(n +N ).DELTA., wherein F.sub.0 is a
signal of frequency F.sub.0 , F.sub.0 +.DELTA. is a signal of
frequency F.sub.0 +.DELTA., n is an integer such as 1, 2, 3 . . .
n, .DELTA. is a frequency difference signal of frequency .DELTA.
and m is an integer such as 1, 2, 3 . . . m and coupling separate
ones of said set of signals to individual antenna elements.
The present invention provides novel apparatus for generating such
set of discrete frequency signals comprising: means for generating
a control signal F.sub. 0, means for generating a
frequency-variable signal F.sub. 0 +.DELTA. which is frequency
offset a predetermined amount .DELTA. from said control signal,
mixer means for mixing the control signal with the
frequency-variable signal to derive the offset signal .DELTA.,
multiplier means for deriving harmonics of said control signal and
said frequency-variable signal and means for mixing selected
harmonics of said multiplier means with one another to derive the
desired set of discrete frequency signals. In this manner a
versatile waveform generator is provided in which the antenna beam
can be formed so that the beam will sweep at any desired sweep
rate, or the beam can be stopped at any desired angle and held at
that angle for as long as required by merely changing the frequency
of the frequency offset signal F.sub. 0 +.DELTA.. With such a
waveform generator it is possible to employ the antenna array
system as a slowly sweeping target acquisition device or as a fast
sweeping object discriminating device or it can equally well be
used as a tracking device. The waveform generator can be used to
drive the detectors or mixers of either a receiving array or a
transmitting array, respectively, and thus a sweeping or fixed
receiving or transmitting antenna beam may be produced.
It is a further feature of the invention to provide a
two-dimensional antenna array system which includes the aforesaid
waveform generator plus additional variable oscillator means for
producing a second frequency offset signal. The added oscillator
means controls scanning in, for example, the vertical dimension,
while the original variable oscillator means controls scanning in
the horizontal dimension of the array. The rate at which the array
is scanned in either dimension can be controlled independently of
the other dimension by the individual variable oscillator means.
Furthermore, the array can be made to scan in either direction or
slowed down and made to stop in either direction by means of said
individual variable oscillator means. In addition, switching means
are provided in each dimension whereby a fixed oscillator means can
be substituted for the variable oscillator means feeding the
multiplier circuits so as to produce a signal which, when phase
shifted by a variable phase shifter and multiplier by suitably
provided multiplier means, produces a progressive phase shift
across the antenna array. By controlling a single one of said
variable phase shifters the antenna beam can be fixed in any
desired dimension while being frequency scanned in the other
dimension.
In a further embodiment of the invention a frequency-swept Butler
feed system is provided. A Butler feed system in general is a
parallel-fed network utilizing hybrid junctions with fixed phase
shifters to form n -overlapping beams in an n -element array. In
the Butler feed system a signal from a master oscillator is coupled
in parallel to n power drivers which in turn are separately coupled
to the n input terminals of the Butler network. Beam steering is
accomplished by successively programming "on" one or more of the
power drivers as desired. Such a system is described in detail in
the article entitled "Beam-forming Matrix Simplifies Design of
Electronically Scanned Antennas" by J. Butler and R. Lowe,
Electronic Design, vol. 9, pp. 170- 173, Apr. 12, 1961. In
accordance with the present invention it has been found that by
suitably coupling the aforesaid waveform generator apparatus to a
Butler feed system there is provided successive maximum outputs at
elements of an antenna array during time intervals inversely
proportional to the aforesaid frequency difference existing between
the aforesaid control signal and the offset signal, thereby
providing rapid and continuous switching of outputs of an antenna
array without the need of electromechanical or other programmed
switching apparatus as in the Butler system.
Other objects and advantages of this invention will become apparent
from the following specification taken in connection with the
accompanying drawings wherein:
FIG. 1 shows in block diagram form a one-dimensional antenna array
system of the invention;
FIG. 2 is an example of a suitable multiplier circuit for obtaining
the necessary signal multiplication required in the waveform
generator apparatus of the invention;
FIGS. 3A and 3B show a block diagram of a two-dimensional antenna
array system of the invention;
FIG. 4 is a waveform diagram illustrating the effect of the
progressive frequency difference signal on the phase relation of
the individual outputs of the waveform generator with respect to
time; and
FIG. 5 shows a frequency scanned beam switching system embodiment
of the invention.
Referring now to FIG. 1, there is shown a waveform generator 19 of
the invention coupled to a one-dimensional antenna array 48. The
waveform generator 19 includes a fixed oscillator 18 which
generates a signal of frequency F.sub.0 which may, for example, be
20 megacycles. The fixed oscillator output is coupled to one input
terminal of a well-known mixer-filter device 16. A second
oscillator 14 capable of being varied in frequency an amount
.DELTA. above or below the frequency of the fixed oscillator
F.sub.0 provides a frequency signal F.sub. 0 +.DELTA. wherein
.DELTA. may, for example, be +1 megacycle. The signal F.sub.0
+.DELTA., or, in the example, 21 megacycles, is coupled to a second
input terminal of mixer-filter device 16 as shown. The two signals
F.sub. 0 +.DELTA. and F.sub.0 are heterodyned or beat in
mixer-filter 16 in a well-known manner to produce sum and
difference frequency signals of the input signals. The difference
frequency signal .DELTA. is passed and the sum frequency 2 F.sub. 0
+.DELTA. is filtered or suppressed by a suitable filter within
mixer-filter 16.
The output signal from mixer-filter 16, which is the frequency
difference signal .DELTA., is coupled to a frequency counter 12
which measures and displays the frequency of the signal .DELTA.. As
will be subsequently explained, the frequency of the signal .DELTA.
is proportional to the speed or rate at which the antenna array is
swept. Accordingly, the indication at counter 12 is a measure of
such rate. The frequency difference signal .DELTA. is also coupled
to the antenna control circuit 10. In the antenna control circuit
the zero crossing time of the beat note of the signal .DELTA. and
hence the phase of the signal .DELTA. is measured and displayed by
well-known phase-sensitive means. The phase of the signal .DELTA.
is determinative of the position of the antenna beam as will
subsequently be explained. Accordingly, by measurement of the
frequency and phase of the signal .DELTA., the beam position and
sweep rate can be readily observable by an antenna control system
operator. A feedback loop is provided from the antenna control
circuit 10 to the variable oscillator 14 whereby the signal .DELTA.
can be controlled from the antenna control circuit by changing the
frequency of the variable oscillator 14 in any manner desired as by
electrical means, mechanical means, hydraulic means or any
combination thereof.
A 57 portion of the signal F.sub.0 +.DELTA. from the variable
oscillator 14 is coupled to frequency multiplier 20 wherein it is
multiplied by a factor of N +2 or as in the present example by a
factor of 3 to produce the signal 3F.sub. 0 + 3 .DELTA..
Reference is had to FIG. 2 for a specific example of a circuit
suitable for obtaining the desired multiplication of a signal by
various factors as required in the multipliers of FIG. 1 and the
multiplier matrices of FIGS. 3A and 3B subsequently described. As
is shown in FIG. 2, a suitable multiplier such as, for example,
multiplier 24, comprises a transformer coupled input circuit 210, a
transformer coupled output circuit 206, tuning capacitor 202 in
series connection with the secondary of the input circuit, tuning
capacitor 208 in series connection with the primary of the output
circuit and varactor diode intermediate said input and output
circuits so as to form two resonant circuits coupled together
through the common impedance of varactor diode 204. Varactor diodes
are junction diodes operable at microwave frequency ranges and
which have a distinct nonlinear charge versus voltage
characteristic curve in the reverse bias region. This nonlinear
characteristic is utilized in the device of FIG. 2 to generate
harmonics of the input signal F.sub.0 in the loop circuit 212. Loop
circuit 212 may, for example, be tuned to the second harmonic of
the signal F.sub.0 in loop 214. Current divides into these two
loops; the major portion of the fundamental frequency F.sub.0 flows
through loop 214 and substantially all of the second harmonic flows
through the second loop 212 wherein it is coupled to the secondary
of transformer 206 and provides the desired output signal 2F.sub.
0. It can readily be seen that such multiplier stages can be
cascaded to produce the desired multiplication factor or
alternatively multiplier circuits can be provided with secondary
loops tuned to the harmonic frequency desired. The varactor
multiplier is shown herein as a preferred device for multiplying a
signal by a suitable factor such as is desired in the multiplier
circuits of the embodiments of the invention shown in FIGS. 1, 3A
and 3B, but the invention is not thereby limited to use of varactor
multipliers as it is well known that other suitable nonlinear
devices such as reflex klystrons may be readily adapted for use as
multipliers in the above related circuits.
Referring again to FIG. 1, a second portion of the signal from
variable oscillator 14 is coupled to multiplier 24 wherein it is
multiplied by a factor of n +1 or as in the present example, 2 to
produce the signal 2F.sub. 0 +2.DELTA.. Similarly, a first portion
of the signal from fixed oscillator 18 is coupled to multiplier 22
wherein it is multiplied by a factor K-3 wherein K may be any
integer greater than the number of array elements and for
illustrative purposes is chosen as 29. Thus, for example, the
output signal from multiplier 22 is equal to (K-3 )F.sub. 0 or (29-
3 ).times.20 megacycles, which equals 520 megacycles. A second
portion of the signal from fixed oscillator 18 is coupled to
multiplier 26 wherein it is multiplied by a factor of 27 or K-2.
The resultant output from multiplier 26 is equal to 540 megacycles.
A third portion of the signal from fixed oscillator 18 is coupled
to multiplier 28 and multiplied by a factor of K-1 to produce an
output signal equal to (for this example) 560 megacycles. A fourth
portion of the signal output of fixed oscillator 18 is coupled to
multiplier 30 and multiplied by the factor K to produce a 580
megacycle signal designated 29F.sub. 0.
The outputs of the various aforesaid multipliers are coupled in the
following described manner to an appropriate one of the
mixer-filter devices 32, 34 and 36 so as to produce filtered sum or
difference signals of the desired value for beam scanning. For
example, the output of multiplier 20, (3F.sub. 0 + 3.DELTA. ) or
(60 mc. + 3.DELTA.), is mixed with the output of multiplier 22,
(K-3 )F.sub. 0 or 520 mc. in mixer-filter 32 and the sum product of
the mixing process, (580 mc. + 3 .DELTA.), is passed as the output
of mixer-filter 32 while the difference product is suppressed. In a
similar manner the signal 580 megacycles plus 2.DELTA. is produced
at the output of mixer-filter 34 by beating the aforesaid output
signal from multiplier 24 with the aforesaid output signal from
multiplier 26 in mixer-filter 34 and filtering out the unwanted
difference frequency signal and passing the desired sum frequency
signal 580 megacycles +2 .DELTA.. Likewise, the signal 580
megacycles plus .DELTA. is produced at the output of mixer-filter
36 by mixing a portion of the output from variable oscillator 14
with the output of multiplier 28 in mixer-filter 36 and passing the
sum of the mixed signals as an output of mixer-filter 36. It can
thus be seen that the desired discrete frequency signals separated
by a frequency difference of 1 .DELTA., 2 .DELTA., and 3.DELTA.
have been produced at the outputs of mixers 36, 34 and 32
respectively. Thus, by changing the frequency of variable
oscillator 14, such as by antenna control circuit 10, the scanning
rate is controlled.
The output of waveform generator 19 comprising the individual
outputs from mixer-filters 32, 34 and 36 and the output of
multiplier 30 are then coupled to respective radiant elements 39,
41, 43 and 45 of antenna array 48. It is to be understood that
suitable power amplification stages may be interposed between the
waveform generator outputs and the array elements as desired.
Accordingly, it can be seen that the necessary set of discrete
frequency signals has been established across the elements of
antenna array 48 so that an antenna beam pattern will be produced
at a distance from the transmitting array 48 as a result of the
plurality of discrete frequency signals radiated from individual
elements of the antenna array, each discrete frequency signal being
separated from each other by a progressive frequency difference
signal; n .DELTA., (n +1 ).DELTA., (n +2 ).DELTA. ...(n+m ).DELTA..
The radiated beam thus forms a maximum at certain intervals of time
and effectively sweeps across the sky because of the continuously
varying phase shift created at the antenna elements by the
progressive phase shift resulting from the progressive frequency
separation of the radiated elements.
The versatility of the waveform generator apparatus of FIG. 1
becomes apparent from an analysis of the effect of a change in the
frequency of variable oscillator 14. The frequency of the variable
oscillator 14 can, as noted, be readily changed as by electrical or
mechanical tuning. For example, assuming that oscillator 14 is a
well-known klystron oscillator, tuning can be accomplished by
varying the klystron repeller voltage or by mechanically changing
the cavity dimensions of the klystron. The only practical
restriction on the amount of frequency change for a desired scan
rate will be imposed by the bandwidth of the multipliers and
mixer-filter circuits. The filter bandwidths should be sufficiently
narrow so as to eliminate undesired harmonics and cross-products.
Thus, for a fixed oscillator frequency F.sub. 0 equal to 20
megacycles, as in the present example, .DELTA. can be varied as
much as plus or minus 1 to 2 megacycles about the fixed frequency
signal F.sub.0 . With the variable oscillator set to 21 megacycles,
.DELTA. equals 1 megacycle and the antenna beam will sweep across
array 48 once every microsecond. With the variable oscillator 14
tuned to 20 megacycles, (the same frequency as the fixed oscillator
18) the beam will be stationary in a position which is dependent
upon the phase difference between the two oscillators 14 and 18. By
locking the frequency of the oscillators 14 and 18 together and
changing the phase relation between the two signals the beam can be
made to stay fixed at any desired angle. When the variable
oscillator 14 is set to 19 megacycles (.DELTA. equals minus 1
megacycle) the beam will sweep across the array in 1 microsecond
but in a direction opposite to the direction of the path of the
sweeping beam for the 21 megacycle setting of the oscillator. Thus
it can be seen that by controlling both the frequency and phase of
the variable oscillator 14, the rate of sweep and direction of the
antenna beam of array 48 can be completely controlled. This
completes the description of the operation of the device of FIGS. 1
and 2.
For a description of a two-dimensional antenna array system of the
invention reference is had to FIGS. 3A and 3B. In the invention
embodied in FIGS. 3A and 3B the basic principle of operation is the
same as that noted in connection with the description of the single
linear array of FIG. 1 except that here two variable oscillators,
oscillators 72 and 82, are employed instead of the single variable
oscillator of FIG. 1. One oscillator, oscillator 72, controls the
vertical dimension and the other oscillator, oscillator 82,
controls the horizontal dimension of the array. For purposes of
illustration in connection with FIGS. 3A and 3B it is assumed that
fixed frequency oscillator 70 is fixed at a frequency of 10
megacycles and high frequency oscillator 110 is at 3 K megacycles.
The choice herein of the aforementioned frequency parameters is not
meant to be a limitation of the scope of the invention in any
manner.
As is shown in FIG. 3A, the output of fixed frequency oscillator 70
is coupled to one input of mixer-filter 78. At the same time, the
output of variable oscillator 82 comprising signal F.sub. 0
+.DELTA. is coupled to a second input terminal of mixer-filter 78.
The two input signals F.sub. 0 and F.sub. 0 +.DELTA. are mixed in a
mixer-filter 78 and the difference signal produced in the mixing
process is passed out through the filter stage as the output signal
.DELTA. from mixer-filter 78. The sum signal 2 F.sub. 0 +.DELTA. is
suppressed by a well-known filter circuit. In a similar manner a
second portion of the output of fixed frequency oscillator 70 is
coupled to one input terminal of mixer-filter 76 wherein it is
mixed with the output signal F.sub. 0 +.DELTA.' from variable
oscillator 72 to produce at the output of mixer-filter 76 the
output signal .DELTA.'. The output signals .DELTA. and .DELTA.' are
fed to respective counters 100 and 98 wherein the frequency of the
respective signals and hence rate of sweep of the resultant antenna
beam is accurately measured and displayed for the convenience of
the antenna control operator. A second portion of each of the
output signals .DELTA. and .DELTA.' is coupled to respective
antenna control circuits 104 and 105. Antenna control circuit 104
controls the frequency of variable oscillator 72 which, as will be
subsequently described, results in a control of the vertical
antenna beam pattern. Antenna control circuit 105 controls the
frequency of the variable IF oscillator 82 and thereby effectively
controls the horizontal antenna beam pattern as will be
subsequently described. A second portion of the output of variable
oscillator 72 comprising the signal F.sub. 0 +.DELTA.' is coupled
through switch 88 to the input terminal of multiplier matrix 96 in
the "on" position of switch 88 as shown. Multiplier matrix 96
comprises a set of multiplier circuits similar to that described in
connection with FIG. 1 and represented herein by the units X2, X3,
X4 and X5 in dotted lines. The input signal F.sub. 0 +.DELTA.' is
internally coupled to individual multiplier circuits in multiplier
96 so as to produce the output signals 10 megacycles +1 .DELTA.',
20 megacycles +2 .DELTA.', 30 megacycles +3 .DELTA.', 40 megacycles
+4 .DELTA.' and 50 megacycles +5 .DELTA.' on output leads 152
through 148 respectively. For example, the signal F.sub.0
+.DELTA.', which in the present illustration is equal to 10
megacycles plus the offset frequency signal .DELTA.', is multiplied
in multiplier circuit X3 by the factor 3 to produce an output
signal on line 150 equal to the signal 30 megacycles +3 .DELTA.'.
In like manner, a portion of the output from variable IF oscillator
82 is coupled through the "on" position of switch 94 to the input
lead of multiplier matrix 102 wherein it is multiplied by
individual multiplier circuits, therein provided, to obtain the set
of frequency signals 50 megacycles +5 .DELTA., 40 megacycles +4
.DELTA., 30 megacycles +3 .DELTA., 20 megacycles +2 .DELTA. and 10
megacycles +1.DELTA. on lines 178 through 182 respectively. A
portion of the fixed frequency signal F.sub.0 from oscillator 70 is
coupled to the input terminal of multiplier matrix 107 wherein it
is multiplied in a set of multiplier circuits to produce at the
output of multiplier matrix 107 five separate output signals
respectfully equal to 180 megacycles, 190 megacycles, 200
megacycles, 210 megacycles and 220 megacycles on lines 154 through
158 respectively. For example, the signal F.sub.0 from fixed
frequency oscillator 70 is multiplied by a factor K+4, wherein
F.sub.0 equals 10 megacycles and K equals the factor 18, to produce
on line 158 a 220 megacycle signal. The aforementioned outputs of
multiplier matrix 102 on lines 178 through 182 are mixed in
mixer-filter matrix 108 with suitable output signals from lines 154
through 158 to produce the set of signals 230 mc. +5 .DELTA., 230
mc. +4 .DELTA., 230 mc. +3 .DELTA., 230 mc. +2 .DELTA. and 230 mc.
+.DELTA., respectively, on lines 166 through 170 at the output of
mixer-filter matrix 108. For example, the output signal equal to 10
megacycles plus 1 .DELTA. from multiplier matrix 102 on line 182 is
mixed with the 220 megacycle signal from multiplier matrix 107 on
line 158 in the mixer designated M.sub.1 and shown in dotted lines
within mixer-filter matrix 108. The sum of the two input signals to
mixer M.sub.1 is a signal equal to 230 plus 1.DELTA. and this
signal is passed through filter F.sub.1 to output lead 170 of
mixer-filter 108.
In a similar manner the output signals from multiplier matrix 96 on
lines 148 through 152 are mixed with suitable signals from
multiplier matrix 107 on lines 154 through 158 in mixer-filter
matrix 114 to produce a set of frequency signals respectively equal
to 230 mc. +.DELTA.', 230 mc. +2.DELTA.', 230 mc. +3.DELTA.', 230
mc. +4.DELTA.' and 230 mc. +5.DELTA.' on output lines 133 through
137 of matrix 114.
The aforementioned signal outputs from mixer-filter 108 on lines
166 through 170 are heterodyned up in frequency in high frequency
filter-mixer matrix 112 by being beat or mixed therein with a high
frequency signal F.sub.1 (equal to 3,000 megacycles) from high
frequency oscillator 110. The resultant output signals on lines 117
through 121 from high frequency mixer-filter matrix 112 are
respectively as follows: 3,230 mc. +5 .DELTA., 3,230 mc. +4
.DELTA., 3,230 mc. +3 .DELTA., 3,230 mc. +2 .DELTA. and 3,230 mc.
+.DELTA.. For example, the output signal on line 169 of
mixer-filter 108 (equal to 230 megacycles plus 2 .DELTA. is mixed
in a mixer provided in high frequency mixer-filter matrix 112 with
the signal F.sub.1 (equal to 3,000 megacycles) to produce an output
signal on line 120 equal to 3,230 megacycles plus 2 .DELTA.. Each
of the frequency signals on lines 117 through 121 emanating from
mixer-filter matrix 112 is mixed with an appropriate one of the
frequency signals on lines 133 through 137 emanating from
mixer-filter matrix 114 to produce the desired set of discrete
frequency signals, some of which are tabulated in chart I as
follows:
---------------------------------------------------------------------------
Chart I
Unit Mixer Output Unit Mixer Output
__________________________________________________________________________
117-133 3 K mc.-.DELTA.'+5 .DELTA. 121 -136 3 K mc.+.DELTA.-4
.DELTA.' 118-133 3 K mc. -.DELTA.'+4 .DELTA. 121-137 3 K
mc.+.DELTA.-5 .DELTA.' 119-133 3 K mc.- .DELTA.'+3 .DELTA. 118-134
3 K mc.+4 .DELTA.-2 .DELTA.' 120-133 3 K mc.-.DELTA.'+2 .DELTA.
118-135 3 K mc.+4 .DELTA.-3 .DELTA.' 121-133 3 K
mc.-.DELTA.'+.DELTA. 118-136 3 K mc.+4 .DELTA.-4 .DELTA.' 121-134 3
K mc.+.DELTA.-2 .DELTA.' 118-137 3 K mc.+4 .DELTA.-5 .DELTA.'
121-135 3 K mc.+.DELTA.-3.DELTA.'
__________________________________________________________________________
It should be noted that for simplicity only a representative group
of the signals from matrices 114 and 112 are shown in FIG. 3B to be
mixed, filtered, amplified and coupled to a two-dimensional antenna
array. However, it is to be understood that all signals are
ultimately processed in a like manner so as to produce a combined
radiation pattern at a distance from the antenna array elements
which pattern will sweep across the sky in a vertical or horizontal
pattern because of the phase shift across individual elements of
the array as produced by the progressive frequency shift of the
individual frequency signals simultaneously coupled to individual
antenna elements.
In the drawing of FIG. 3B the details of only four of the final
stage mixing, filtering, amplifying and radiating elements are
shown, one of which is designated 400 and includes mixer 190,
filter 193, power amplifier 197, and radiating horn 198. It is to
be understood, however, that each of the signals on lines 117
through 121 are mixed with appropriate signals from lines 133
through 137 in the manner depicted in FIG. 3B and partially
tabulated on the above shown chart I so as to produce an antenna
array comprising 25 discrete output frequency signals coupled to 25
individual radiating elements. Furthermore, it is to be understood
that as many elements as may be desired may be fed by the waveform
generator of the invention by adding multipliers and mixers in the
manner described. The processing of a typical output stage will now
be described. The signal on line 137 from mixer-filter matrix 114
which is equal to 230 megacycles plus 5 .DELTA.' is mixed in mixer
191 with the signal 3,230 megacycles plus 2 .DELTA. on output line
120 from mixer-filter matrix 112 to produce the sum and difference
signals equal respectively to 3,000 mc.-5 .DELTA.'+2 .DELTA. and
3,460 mc.+5 .DELTA.'+2 .DELTA..
The desired difference product of the mixing process in mixer 191
is passed through filter 192 to the input of power amplifier 196
which may, for example, comprise a suitable traveling wave tube
amplification stage. The difference signal is amplified in power
amplifier 196 and coupled to an individual antenna array element
such as horn 200, wherein it is radiated into space and combines at
some distance from the antenna array with the other frequency
signals partially tabulated on chart I and simultaneously emanating
from individual antenna array elements to produce the
aforementioned sweeping radiation pattern.
It can be seen from an analysis of the frequency signals listed on
chart I that the desired frequency distribution for a
two-dimensional scanning array is obtained by the apparatus
embodied in FIGS. 3A and 3B. It should be noted, however, that for
simplicity all of the 25 outputs of the antenna array have not been
tabulated. However, observing, for example, the output obtained by
mixing each signal on lines 117 through 121 with the signal on line
133 and filtering out the unwanted product and passing the desired
product it can be seen that the set of signals 3,000 megacycles
-.DELTA.'+5 .DELTA., 3,000 megacycles -.DELTA.'+4 .DELTA., 3,000
megacycles -.DELTA.'+3 .DELTA., 3,000 megacycles -.DELTA.'+2
.DELTA. and 3,000 megacycles -.DELTA.'+.DELTA. is obtained across
the vertical dimension of the array to provide a vertical scan.
The rate at which the array is scanned in either dimension can, as
noted, be controlled independently by the individual oscillators 72
and 82 in conjunction with their respective antenna control
circuits 104 and 105. The array can be made to scan in either
dimension or slowed down and stopped in either dimension by varying
the frequency of either variable oscillator 72 or 82. A variation
in the output of oscillators 72 and 82 produces a corresponding
increase or decrease in the frequency difference signals .DELTA.'
and .DELTA. which in turn causes the antenna array beam to move
faster or slower as desired. By setting the two oscillators 72 and
82 equal to F.sub.0, the beam can be stopped in both directions and
maintained there indefinitely since both .DELTA. and .DELTA.'
thereby become equal to zero. Alternatively, the beam may be
stopped in one dimension and frequency sweeping may be accomplished
in the other dimension by setting one of the oscillators 72 and 82
equal to F.sub.0 and maintaining a frequency difference .DELTA. or
.DELTA.' in the other oscillator.
An additional feature is provided in the invention embodied in
FIGS. 3A and 3B whereby the antenna beam may be placed in any
desired position by varying the phase of signals applied to phase
shifters 80 and 74. In this mode of operation of the invention
switches 88 and 94 are placed in the "off" position connecting
terminals 84 and 90 respectively to multiplier matrices 96 and 102
respectively so that the fixed frequency oscillator F.sub.0 is now
connected through phase shifters 74 and 80 respectively to
multiplier matrices 96 and 102 respectively. Phase shifters 74 and
80 introduce the desired amount of phase shift into the fixed
frequency signal F.sub. 0 passing through said phase shifters.
Since the multiplier process occurring in matrices 96 and 102 will
multiply the phase shift in an identical manner as that described
with respect to the frequency multiplication occurring in matrices
96 and 102 when switches 88 and 94 were in the "on" position
connecting terminals 86 and 92 respectively to multiplier matrices
96 and 102 respectively, a similar progressive phase shift across
the antenna array is obtained in the "off" mode of operation of
switches 88 and 94. By controlling the respective variable phase
shifters 74 and 80 the antenna beam pattern can be maintained in
any desired position and held stable at that position. When phase
shifting rather than frequency shifting is used for maintaining
beam position, the beam can be moved slowly to any position in
space irrespective of the starting or stopping phase relations of
the signals F.sub. 0 and F.sub. 0 +.DELTA. or F.sub. 0
+.DELTA.'.
The waveform generator circuit embodied in FIGS. 3A and 3B can be
used as a transmitter or adapted for use as a receiver. In the
transmitter mode of operation the output from the waveform
generator is fed to a matrix of power amplifier microwave tubes
such as power amplifiers 194 to 197 as shown in FIG. 3B. It is to
be understood that for receiver operation the output signals from
the waveform generator are used as the local oscillator signals for
balanced mixer detectors of an antenna receiving array not shown.
In this case the power amplifiers 194- 197 are omitted. It is also
noted that the antenna control system is independent of the carrier
signal F.sub. 0 and therefore frequency coding of the transmitted
signal is possible for purposes of ranging or pulse compression as
required by the particular application in which the invention is
used.
The following is a description of the apparatus shown in FIG. 5
taken in connection with the waveform diagram of FIG. 4. In this
embodiment of the invention the waveform generator of FIG. 1 is
coupled to a set of hybrid junctions which in turn are coupled to
elements of an antenna array so that there will be provided at such
element's successive maximum and minimum output signals which vary
in accordance with the frequency offset signal .DELTA. from the
waveform generator. Referring specifically to FIG. 4, there is
shown the time versus amplitude plot of the four signal outputs
from waveform generator 19 of FIG. 1. In the plot of FIG. 4,
.DELTA. has been made equal to one-half the frequency of the fixed
oscillator signal F.sub. 0 . In FIG. 5, this set of four output
signals progressively spaced in frequency by an amount .DELTA. is
coupled to respective input arms of well-known Magic "T" hybrid
devices 38 and 40 as shown.
At an instant of time, T equal to zero, all the input signals to
Magic "T" devices 38 and 40 are in phase and all the power will be
coupled out of output arm H of Magic "T" device 44 as will be
subsequently described. The Magic "T" device has the property that
if two signals are coupled in phase to separate input arms the
combined power of the two signals is passed to the H output arm and
none of the power passes to the E output arm. On the other hand, if
the two input signals are 180.degree. out of phase with one another
all of the power passes to output arm E and none of the power is
coupled out of arm H. Accordingly, since at T =0 the input signals
to arms 40B and 40A of Magic "T" 40 are in phase, the two signals
will be combined in Magic "T" 40 and the combined signal will pass
from arm H of Magic "T" device 40 to the input arm 44B of Magic "T"
device 44 with none of the combined power passing out output arm E.
Likewise, the input signal to arm 38A of Magic "T" device 38 will
be combined with the input signal on arm 38B of Magic "T" device 38
so that all the power is coupled out of arm H of Magic "T" 38 under
the assumed in phase condition of the input signals. The output of
arm H of Magic "T" 38 is coupled to input arm 44A of Magic "T"
device 44. At T =0, the input signal to arm 44A and the input
signal to arm 44B from arm H of Magic "T" 40 are in phase with one
another and are combined in Magic "T" device 44 so that all the
power of the combined signals is coupled out of arm H of Magic "T"
44 to antenna element 46A.
At a later instant of time T=1/4.DELTA. because of the progressive
phase shift of the input signals to the input arms of Magic "T"
devices 38 and 40 resulting from the progressive frequency
difference .DELTA. existing between the set of input signals, as
illustrated in the graph of FIG. 4, a phase condition will exist in
which the input signal to arm 38B is 180.degree. out of phase with
the input signal to input arm 38A, and the input signal to arm 40A
of Magic "T" 40 is 180.degree. out of phase with the input signal
to arm 40B, and a 90.degree. phase lag exists between respective
B-arms and between respective A-arms of devices 38 and 40.
The above related phase conditions are conveniently summarized in
chart II and are readily deduced from an analysis of FIG. 4.
---------------------------------------------------------------------------
CHART II
Time Phase Relation Arm 38B Arm 38A Arm 40B Arm 40A Output
__________________________________________________________________________
T==0 0.degree. 0.degree. 0.degree. 0.degree. 46A T= 1 /4 .DELTA.
90.degree. 270.degree. 180.degree. 0.degree. 46B T= 1 /2 .DELTA.
180.degree. 180.degree. 0.degree. 0.degree. 46C T= 3 /4 .DELTA.
270.degree. 90.degree. 180.degree. 0.degree. 46D
__________________________________________________________________________
under the above conditions, at a time T=1 /4 .DELTA. all of the
input power to Magic "T" devices 38 and 40 is coupled out of the
output arm H of Magic "T" 42 to antenna array element 46B. Thus,
for example, the two out-of-phase input signals to Magic "T" device
38 are coupled out of output arm E of Magic "T" device 38 to input
arm 42A of Magic "T" device 42. The two input signals thus obtained
at arms 42A and 42B, respectively, of Magic "T" device 42 are,
because of the 90.degree. phase advance introduced by phase shifter
55, in phase with one another. Accordingly, all of the power from
the combined signals will be coupled out of arm H of Magic "T"
device 42 and thence to antenna horn element 46B. The time period
at which all of the output is coupled to output arm E of Magic "T"
device 44 is equal to one-fourth of the reciprocal of the frequency
difference .DELTA..
From the above, it becomes apparent that at a time interval
corresponding to one-half of the reciprocal of the frequency
difference signal .DELTA., the phase condition noted in chart II is
obtained at the input arms of Magic "T" devices 38 and 40 and all
of the input power is coupled to antenna element 46C. Likewise, at
a time T=3/4.DELTA. all of the input power is coupled to antenna
element 46D.
It has thus been shown that by coupling the output signals from
waveform generator 19 to the hybrid matrix of FIG. 5 a continuously
moving beam output is obtained at elements 46A-D of antenna 46.
This beam moves from element to element at a rate proportional to
the reciprocal of the frequency difference signal .DELTA.. The beam
produced at point sources A, B, C and D is converted to a plane
wave by passing said beam through the Luneberg Lens 46 of FIG. 5.
The Luneberg Lens is a variable-index-of-refraction lens which is
spherically symmetric so that a plane wave incident on the sphere
is focused to a point on the diametrically opposite side of the
sphere. The converse of this feature is likewise true and is used
in the present embodiment of FIG. 5 to produce a plane wave from
the point sources 46A-D. It is noted that a plane wave front may
also be produced by use of well-known reflector elements such as
the Cassegrain antenna in place of the Luneberg of FIG. 5. It is to
be understood that many more signals can be produced by the
waveform generator of the invention and the use herein of only four
is in no wise meant to be a limitation. Furthermore, by suitably
connecting hybrid couplers in the manner described in connection
with FIG. 5 any desired number of 2.sup.n or binary elements can be
fed by said waveform generator. In addition, a two-dimensional
continuously sweeping Butler array can be achieved by utilizing the
two-dimensional waveform generator of FIGS. 3A and 3B in connection
with a suitably adapted hybrid coupler matrix of FIG. 5.
It is further noted that, for example, where wide frequency
separation between adjacent antenna elements is desired, the signal
F.sub. 0 +.DELTA. from the variable oscillator of FIG. 1 may be
first mixed with a carrier oscillator signal F.sub. c to produce
the signal F.sub. 0 + F.sub. c +.DELTA.. Then, by subtracting in a
mixer the signal F.sub.0 from the fixed oscillator from the
aforesaid signal F.sub. 0 + F.sub. c +.DELTA. signal a first output
signal F.sub. c +.DELTA. is produced. By adding the original
variable oscillator signal back on to a portion of the output
signal the signal F.sub.0 +F.sub.c +2.DELTA. is obtained from which
a second output signal F.sub.c +2.DELTA. is obtained by subtracting
therefrom the signal F.sub. 0 . By repeating this process any
number of output signals having the form F.sub. c .+-.n .DELTA.,
wherein n is an integer progressing from 1 to n, may be
derived.
This completes the description of the preferred embodiments of the
invention. However, many modifications thereof will be apparent to
those skilled in the art. Accordingly, it is intended that this
invention not be limited except as defined by the following
claims.
* * * * *