U.S. patent number 3,602,824 [Application Number 04/753,394] was granted by the patent office on 1971-08-31 for frequency changing apparatus and methods.
This patent grant is currently assigned to Sanders Associates, Inc.. Invention is credited to William T. Rusch.
United States Patent |
3,602,824 |
Rusch |
August 31, 1971 |
**Please see images for:
( Certificate of Correction ) ** |
FREQUENCY CHANGING APPARATUS AND METHODS
Abstract
Apparatus and methods are provided for changing the frequency of
signals and in particular signals from musical instruments. In one
embodiment the input signal is split into two oppositely phased
signals DC restored above and below ground. The two signals are
alternately passed to yield a half frequency output signal. The
invention is also disclosed as it relates to frequency counting
applicaTions. Also disclosed herein are various pickups for
stringed instruments which may be employed with the frequency
changing apparatus herein disclosed.
Inventors: |
Rusch; William T. (Hollis,
NH) |
Assignee: |
Sanders Associates, Inc.
(Nashua, NH)
|
Family
ID: |
25030444 |
Appl.
No.: |
04/753,394 |
Filed: |
August 19, 1968 |
Current U.S.
Class: |
327/118; 327/119;
984/382 |
Current CPC
Class: |
H03B
19/00 (20130101); G10H 5/07 (20130101) |
Current International
Class: |
G10H
5/00 (20060101); G10H 5/07 (20060101); H03B
19/00 (20060101); H03b 019/14 () |
Field of
Search: |
;328/16,25,30,39,136
;307/220,225,260,271 ;84/1.01 ;321/60,65,69 ;235/197,196 |
References Cited
[Referenced By]
U.S. Patent Documents
Other References
tomczak, Frequency Divider, IBM Technical Disclosure Bulletin, Vol.
6, No. 4, September 1963, pp 65 & 66. 307/220.
|
Primary Examiner: Krawczewicz; Stanley T.
Claims
Thus, it is to be understood that the embodiments shown are
illustrative only, and that many variations and modifications may
be made without departing from the principles of the invention
herein disclosed and defined by the appended claims.
1. Apparatus for dividing the frequency of an electrical signal
comprising:
means for shifting said electrical signal such that the peaks of
one extremity thereof touch zero volts;
means coupled to said shifting means for generating a mirror image
of said shifted signal;
means coupled to said shifting means for generating switch signals
when said peaks of said shifted signal touch zero volts; and
means for coupling alternately to an output during the periods
between said generated switch signals, said shifted signal and said
mirror image of said shifted signal.
2. Apparatus as defined in claim 1, wherein said coupling means
includes a bistable device coupled to said means for generating
switch signals and being triggered thereby; and a pair of switches
coupled to said bistable device, said switches alternately coupling
to an output said shifted signal and said mirror image of said
shifted signal.
3. Apparatus as defined in claim 1, wherein said shifting means
includes means for summing said electrical signal with a
voltage.
4. Apparatus as defined in claim 3, wherein said means for
generating a mirror image of said shifted signal includes a phase
inverter coupled to said summing means.
5. Apparatus as defined in claim 4, wherein said means for
generating switch signals includes a zero sensor coupled to said
summing means.
6. Apparatus as defined in claim 5, wherein said coupling means
includes a bistable device coupled to said zero sensor; a pair of
switches, one coupled to each output of said bistable device; and a
summer coupled to said pair of switches.
7. Apparatus for dividing the frequency of an electrical signal
comprising:
means for shifting said electrical signal such that the peaks of
one extremity thereof touch zero volts;
means coupled to said shifting means for generating switch signals
when said peaks touch zero volts; and
a bistable device coupled to said switch signal generating means
whereby the output of said bistable device is the divided
signal.
8. Apparatus for dividing the frequency of an electrical signal,
comprising:
a phase splitter having first and second outputs with said
electrical signal being applied to an input thereto;
first means coupled to said first output of said phase splitter for
summing a signal from said first output with a first voltage such
that the lower peaks of said signal from said first output will
touch zero volts;
second means coupled to said second output of said phase splitter
for summing a signal from said second output with a second voltage
such that the upper peaks of said signal from said second output
will touch zero volts;
means coupled to said first summing means for sensing when the
summed signal derived from said first output touches 0 volts;
a bistable device coupled to said sensing means;
a first switch coupled to said first summing means and to a first
output from said bistable device;
a second switch coupled to said second summing means and to a
second output from said bistable device; and
a summer coupled to said first and second switches.
9. Apparatus for dividing the frequency of an electrical signal,
comprising:
a phase splitter having first and second outputs with said
electrical signal being applied as an input thereto;
first means coupled to said first output of said phase splitter for
DC restoring above a voltage level a signal from said first
output;
second means coupled to said second output of said phase splitter
for DC restoring below said voltage level a signal from said second
output;
means coupled to said second DC restoring means for generating
switch signal pulses when said DC restored signal from said second
output is at its peak; and
means for coupling alternately to an output during the periods
between said generated switch signals, said signals from said first
and second DC restoration means.
10. Apparatus as defined in claim 9, wherein said first DC
restoration means includes a capacitor; a resistor coupled from
said capacitor to ground; said signal from said first output being
applied to said capacitor; and a diode shunting said resistor.
11. Apparatus as defined in claim 9, wherein said second DC
restoration means and said switch signal generator includes a
voltage source; a capacitor; a resistor coupled from said capacitor
to ground, said signal from said second output being applied to
said capacitor; and a transistor having first, second, and third
electrodes, said first electrode being coupled to ground, said
second electrode being coupled to said resistor and said capacitor,
and said third electrode being coupled to said voltage source
whereby a DC restored signal is derived at the junction of said
capacitor and resistor and switch signals are derived at said third
electrode of said transistor.
12. Apparatus as defined in claim 11, wherein said coupling means
includes a bistable device coupled to said third electrode of said
transistor; a pair of switches, one coupled to each output of said
bistable device; and a summer coupled to said pair of switches.
13. Apparatus as defined in claim 9, wherein said coupling means
includes a bistable device coupled to said switch signal generating
means; first and second series coupled resistors coupled from said
second DC restoration means to the output of said apparatus; a
third resistor coupled from said first DC restoration means to said
apparatus output; and a switch coupled from the junction of said
series coupled first and second resistors to ground, said switch
being operated by said bistable device, and said third resistor
having an ohmic value twice that of said first and second resistors
combined.
14. Apparatus for dividing the frequency of an electrical signal,
comprising:
a phase splitter having first and second outputs with said
electrical signal being applied as an input thereto;
means coupled to said second output of said phase splitter for DC
restoring a signal from said second output;
means coupled to said DC restoring means for generating switch
signal pulses when said DC restored signal is at its peak;
a bistable device coupled to said switch signal generator;
first and second series connected resistors coupled from said DC
restoration means to the output of said apparatus;
a third resistor coupled from said first output of said phase
splitter to said output of said apparatus; and
a switch coupled from the junction of said series connected first
and second resistors to ground, said switch being coupled to and
operated by said bistable device.
15. Apparatus for dividing the frequency of an electrical signal,
comprising:
a phase splitter having first and second outputs with said
electrical signal being applied as an input thereto;
first means coupled to said first output of said phase splitter for
DC restoring a signal from said first output;
second means coupled to said second output of said phase splitter
for DC restoring a signal from said second output;
16. Apparatus as defined in claim 15, wherein said means for
generating switch signal pulses during only one peak each cycle of
said input signal includes a first bistable device; means coupled
to said second output of said phase shifter for generating set
pulses at each top peak of said input signal, said set pulses being
applied to said first bistable device; means coupled to said first
output of said phase shifter for generating reset pulses at each
bottom peak of said input signal, said reset pulses being applied
to said first bistable device.
17. Apparatus as defined in claim 16, wherein said second DC
restoration means and said means for generating set pulses includes
a voltage source; a capacitor coupled to said second output of said
phase splitter; a resistor coupled from said capacitor to ground;
and a transistor having first, second and third electrodes, said
first electrode being coupled to ground, said second electrode
being coupled to said resistor and said capacitor, and said third
electrode being coupled to said voltage source whereby a DC
restored signal is derived at the junction of said capacitor and
resistor and set pulses are derived at said third electrode of said
transistor.
18. Apparatus as defined in claim 17, wherein said means for
generating reset pulses includes means coupled to said first output
of said phase splitter for inverting the output signal from said
first output of said phase splitter; means for DC restoring said
inverted signal; and means for generating pulses at the peaks of
said inverted signal.
19. Apparatus as defined in claim 18, wherein said coupling means
includes a second bistable device coupled to said first bistable
device; a pair of switches, one coupled to each output of said
second bistable device; and a summer coupled to said pair of
switches.
20. Apparatus for dividing the frequency of an electrical signal,
comprising:
a phase splitter having first and second outputs with said
electrical signal being applied as an input thereto;
first means coupled to said first output of said phase splitter for
DC restoring a signal from said first output;
second means coupled to said second output of said phase splitter
for DC restoring a signal from said second output;
means coupled to said second DC restoring means for generating
switch signal pulses; and
means for coupling alternately to an output during the periods
between said generated switch signals said first DC restored signal
with one-half said second DC restored signal and one-half said
second DC restored signal.
21. Apparatus for dividing the frequency of an electrical signal f,
comprising:
means for generating a signal f/2+ kf wherein k is a constant;
means for generating a signal -kf;
means for summing the f/2+ kf and -kf signals.
22. Apparatus as defined in claim 21, wherein said means for
generating a signal f/2+ kf includes; means for DC restoring said
electrical signal and for generating switch signal pulses, a
bistable device coupled to said means for generating switch
signals; a switch coupled to said bistable device and being
switched thereby; and means for applying said restored signal to
said summing means when said switch is open.
23. Apparatus as defined in claim 22, wherein said means for
generating a signal -kf includes means for inverting said
electrical signal; and means for applying said inverted signal to
said summing means.
24. Apparatus as defined in claim 21, wherein said means for
generating a signal f/2+kf includes a first bistable device; means
for generating set pulses; means for generating reset pulses; means
for applying said set and reset pulses to said first bistable
device; a second bistable device coupled to said first bistable
device; means for DC restoring said electrical signal; a switch
coupled to said second bistable device and being switched thereby;
and means for applying said restored signal to said summing means
when said switch is open.
25. Apparatus as defined in claim 24, wherein said means for
generating a signal -kf includes means for inverting said
electrical signal; and means for applying said inverted electrical
signal to said summing means.
26. Apparatus for producing a multifrequency signal from an
electrical signal f, comprising:
apparatus as defined in claim 21 for generating a divided
signal;
means for generating a signal 2f; and
means for combining the divided signal, the f signal, and the 2f
signal.
27. Apparatus as defined in claim 26, wherein said means for
generating a divided signal includes a first bistable device; means
for generating set pulses, means for generating reset pulses; means
for applying said set and reset pulses to said first bistable
device; a second bistable device coupled to said first bistable
device; means for DC restoring said electrical signal; a switch
coupled to said second bistable device and being switched thereby;
means for applying said restored signal to said summing means when
said switch is open; means for inverting said electrical signal;
and means for applying said inverted electrical signal to said
summing means.
28. Apparatus as defined in claim 27, wherein said means for
generating a signal 2f includes a half wave rectifier to which said
electrical signal is applied; and means for subtracting from the
output of said half wave rectifier a portion of said electrical
signal.
29. A method for dividing the frequency of an electrical signal,
comprising the steps of:
shifting said electrical signal such that its lower peaks touch 0
volts;
generating a mirror image of said shifted signal;
generating switch signals when said lower peaks of said shifted
signal touches 0 volts; and
alternately passing during the periods between said generated
signals said shifted signal and said mirror image of said shifted
signal.
30. A method for dividing the frequency of an electrical signal,
comprising the steps of:
splitting the electrical signal into two signals of opposite
phase;
summing one of said two signals with a first DC voltage such that
the lower peaks thereof will touch 0 volts;
summing the other of said two signals with a second DC voltage such
that the upper peaks thereof will touch 0 volts;
alternately applying to an output said summed signals.
31. The method of claim 30, wherein said summed signals are
alternately applied to the output at a rate equal to the frequency
of said electrical signal.
32. A method for dividing the frequency of an electrical signal,
comprising the steps of:
splitting the electrical signal into two signals of opposite
phase;
Dc restoring one of said two signals;
Dc restoring the other of said two signals;
alternately applying to an output said DC restored signals.
33. The method of claim 32, wherein said DC restored signals are
alternately applied to the output at a rate equal to the frequency
of said electrical signal.
34. A method for dividing the frequency of an electrical signal,
comprising the steps of:
splitting the electrical signal into two signals of opposite
phase;
Dc restoring said two signals; and
alternately applying to an output said DC restored first signal
plus twice as much of said DC restored second signal and said DC
restored first signal.
35. The method of claim 52, wherein said alternate signals are
applied at a rate equal to the frequency of said electrical
signal.
36. A method for dividing the frequency of an electrical signal f,
comprising the steps of:
splitting the electrical signal into two signals of opposite
polarity;
Dc restoring one of said two signals;
generating a signal from said DC restored signal assuming the form
E (1+ cos wt) where w= 2.pi.f;
alternately applying to an output said generated signal plus the
other of said two signals and the other of said two signals.
37. The method of claim 36, wherein said alternate signals are
applied at a rate equal to the frequency of said electrical signal,
f.
Description
BACKGROUND OF THE INVENTION
For a great number of years many musical instruments have been
employed with electronic amplification means to provide additional
volume and in some cases electronic apparatus has been employed to
alter the frequency range over which the instruments normally
operate. Techniques have been previously disclosed for changing,
for example, dividing, the frequency of the sounds produced from
musical instruments.
When the source is of fixed known frequency (such as one note of an
electronic organ) prior art frequency division has been
accomplished by synchronizing a subharmonic oscillator with the
source. A sinusoidal output is thereby obtained.
Alternatively, the source sinusoid has been modified into a square
wave whose alternate zero crossings are used to trigger a
flip-flop. The flip-flop output is, thus, at half frequency and can
be made sinusoidal by tank circuit filtering.
This later method of frequency division provides a tone generation
system in which output tones are derived from the normal sound of
the instrument but in which such output tones may have an entirely
different quality so that the known instrument may be used to
generate tones sounding completely different from those
characterizing the instrument. However, assuming that the musician
might like a frequency divided tone that sounds not different from
but rather as much as possible like that of the normal tone of his
chosen instrument, then the square wave flip-flop technique has
major disadvantages.
First, proper operation of this type of frequency divider demands
that the original note of the instrument be stripped of most all
its (distinguishing) overtones by acoustical or electrical
filtering so that a relatively pure sinusoid may be fed to the
square wave (clipping) circuit. Thus, even before the frequency
division is begun the brilliant tone of the flute the mellow tone
of the saxophone or the characteristic tone of the guitar are
reduced to the dull sounding sinusoid of an audio oscillator.
Secondly, even if a small amount of highly attenuated
(distinguishing) overtones done't interfere with proper operation,
these too are completely removed by the square wave nature of the
output of the dividing flip-flop. The resulting electronic sound
may indeed be "different," but it is much more aesthetically
preferable to have a divided output from a guitar, for example,
that still sounds like a guitar played an octave lower or, on low
notes, as a bass.
Another disadvantage concerns preservation of the original
amplitude envelope in the divided tone. This has been done in the
past with a modulator, or with a bias control of an amplifier, or
using a built-in dynamic volume control to automatically match
sound level of extra octaves with the octave being played. Assuming
no time constant problems (e.g., instantaneous detection of
amplitude envelope so that the sharp initial transient of a plucked
guitar string, for example, is retained in the divided output)
these methods probably work. However, they, of necessity, consume
extra hardware and cost to do a job which is done inherently in the
halving (and doubling) techniques to be described hereinafter.
It may be appreciated that musical instruments do not put out
"pure" (i.e., sinusoidal) waveforms. It is well known that the
considerable overtones or harmonics are what distinguish one
instrument from another, all instruments from audio oscillators and
one musician's or one instrument's "good tone" from another's "poor
tone."
For example, many people refer to a flute as "pure" and might
expect its waveform to be sinusoidal. Such people have probably not
heard a good flute tone with a "sharp edge" while watching its
waveform on an oscilloscope. The complex waveform is far from being
sinusoidal.
The effects of even a slightly complex input waveform to a square
wave flip-flop type divider is shown in FIG. 1. In FIG. 1A, the
"indentations" 12 of waveform 10 do not cross the zero or average
level line 14. The positive going zero crossings of the squared or
clipped wave (not shown) trigger the dividing flip-flop whose
output waveform 16 is shown and is obviously at half frequency.
In FIG. 1B, however, the "indentations" 18 do cross the zero line.
The resulting "false" zero crossings in the squared wave (not
shown) cause the "dividing" flip-flop to cease dividing. Its output
20 is at the original fundamental frequency of the input.
Wind instruments such as the flute, trumpet, saxophone, clarinet,
etc., have waveforms considerably more complex than those shown in
FIG. 1B and, unless filtering to sinusoidal shape is accomplished,
render the prior art dividers useless. Indeed, the "false" zero
crossings cannot only render frequency division of this type
impossible but may actually make the "divider" flip-flop run at a
rate higher than the input frequency...and not necessarily by an
octave.
For electric guitar applications it has been observed that the
higher notes near the 12th fret of each string do tend to be
reasonably sinusoidal and the prior art dividers can work without
input filtering. However, the open string and notes at the lower
frets have a complex waveform which require considerable filtering
to remove "false" zero crossings. A particularly obnoxious
occurrence is termed the "BEEP effect." When a guitar string is
first struck the wave may look like wave 10 of FIG. 1A and the
divider output is at half frequency as shown by the middle C in
FIG. 1C. Then, possibly because of standing waves, traveling waves
or body or neck structural resonances (even with solid body
guitars) the waveform can change to a type as illustrated by the
wave of FIG. 1B and then quickly back to that of 1A again. The
resulting short "BEEP" as the divider goes from half frequency to
original frequency and back to half is very annoying and
objectionable. This is illustrated in FIG. 1C.
The prior art has solved this problem by capitulating to
it...filtering out the valuable, pleasing and distinguishing
overtones of the source note.
The loss of tonal quality caused by severe filtering of overtones
is very objectionable. It results in a very "electronic" sound
which resembles an electronic organ perhaps more than, for example,
a guitar. There have even been attempts to add overtones to get
electronic instruments to sound more realistic.
Dividers for use with wind instruments use acoustical filtering
provided by the instrument itself, for example by special internal
microphones. The location of such a microphone is such that it
receives the almost perfect sinusoidal sound necessary for the
prior art dividers. The disadvantages associated with such
microphones are fairly obvious. The musician either has to purchase
a whole new instrument, drill a hole in his own instrument, or buy
the appropriate part of an instrument which contains such a
microphone. Of more serious consequence is the very significant
loss of tonal quality due to the removal of overtones. And, with
such a microphone, tonal quality is sacrificed not only on the
divided signal but on the straight-through signal. For example,
such a microphone makes an expensive flute sound like a child's toy
whistle.
In addition, to (undesirable) severe filtering, the prior art also
depends on a "masking" effect by which a fairly loud
straight-through signal tends to mask or cover up imperfections in
the divided signal.
SUMMARY OF THE INVENTION
Accordingly, it is an object of this invention to provide improved
frequency dividing circuits.
It is another object of this invention to provide frequency
dividing circuits having amplitude preservation capability.
It is a further object of this invention to provide frequency
dividing circuits which retain in the output many of the input
harmonics.
It is yet another object of this invention to provide improved
frequency dividing circuits for multiple input applications.
It is yet a further object of this invention to provide frequency
dividing and frequency multiplying circuits.
It is still another object of this invention to provide stringed
instrument pickups having electromagnetic pickup cancellation
capability.
It is a further object of this invention to provide stringed
instrument pickups having improved sensitivity adjustments.
It is another object of this invention to provide a novel clamping
technique.
It is a further object of this invention to provide improved
frequency dividing circuits for use with musical instruments.
It is yet another object of this invention to provide means for
reducing the frequency of voice.
It is yet a further object of this invention to provide frequency
dividing techniques not using zero crossings.
Briefly, in one embodiment, a frequency dividing technique is
disclosed in which signals are generated having their peaks fixed
at zero volts by DC restoration, for example. The two signals
comprise the input signal after DC restoration and the inversion of
that signal. The DC restored input signal is used to trigger a
switch to alternately pass the DC restored signal and the inverted
signal which are combined to provide a divided signal.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 A-C, a series of sketches illustrating the effects of
complex input waveforms on prior art flip-flop dividers;
FIG. 2 A-D, a series of sketches illustrating the improved
frequency dividing techniques herein disclosed;
FIG. 3 is a block diagram of one embodiment of a frequency
divider;
FIG. 4 is a block diagram of another embodiment of a frequency
divider;
FIG. 5 is a sketch illustrating another embodiment of a frequency
divider;
FIG. 6 is a sketch illustrating another frequency dividing
technique;
FIG. 7 is a sketch illustrating another frequency dividing
technique;
FIG. 8 A-D, a series of sketches illustrating frequency dividing of
relatively complex waveforms;
FIG. 9 A-G, a series of sketches illustrating frequency dividing of
relatively complex waveforms having "double peaked"
characteristics;
FIG. 10 is a sketch of one embodiment of a frequency divider;
FIG. 11 is a schematic of a frequency divider circuit;
FIG. 12 is a schematic of a circuit for providing f, 2f, and f/2,
and combinations thereof;
FIGS. 13A and 13B are sketches of guitar pickups having
electromagnetic interference cancellation;
FIGS. 13C and 13D are sketches of a multipickup for guitars having
isolation between pickups for preventing crosstalk;
FIGS. 14A-14C are sketches of U-magnet pickups;
FIGS. 15A-15G are sketches of various arrangements for providing
sensitivity adjustment;
FIG. 16 is a schematic of a circuit for providing f, 2f, and f/2
and combinations thereof for a multipickup guitar;
FIG. 17 is a sketch and waveforms for an improved clamping
method;
FIG. 18 is a sketch illustrating a frequency divider for human
voice; and
FIG. 19 is a schematic of a frequency counter.
DESCRIPTION OF PREFERRED EMBODIMENTS
The techniques set forth hereinafter for dividing complex
electrical signals pertain to any electrical signal, however, for
illustration purposes the examples set forth relate to the complex
tones of music instruments.
The basic concept of this novel frequency division will now be
described in conjunction with the waveforms of FIG. 2.
The basic key to this new frequency division technique is
generation of one or two signals whose peaks are fixed at zero (by
addition of voltage, clamping, DC restoration, etc. Variation
embodiments employing this basic idea will be discussed
hereinafter.
Waveform 22 of FIG. 2A is an input signal Ecoswt. In FIG. 2B the
input signal 22 is shifted so that its lower peaks just touch 0
volts, giving wave +e. A "mirror image" signal -e is also
generated. This can be accomplished by phase inversion of the input
wave 22 and shifting the inverted wave downward so that its upper
peaks touch 0 volts. Or, the +e wave can itself be inverted to give
-e.
When the +e signal touches 0 volts a switch signal 24 is generated.
Of course, alternatively, switch signal 24 could be generated when
the -e signal touches zero. The switch signals trigger a flip-flop
so that it is in one of its stable states from one "zero touch" to
the next at which time it is triggered to its other stable state,
as shown by waveform 26 of FIG. 2C.
The flip-flop, obviously at half frequency, controls two switches
which alternately pass either +e or -e to give the half frequency
output 28 shown in FIG. 2D. The Fourier series for this signal is
given by KE [1. cos wt/2+ 0.20 cos 3/2wt- 0.029 cos 5/2wt+...].
It may be noted from the waveform 28 and its Fourier series that
the output is not perfectly sinusoidal, but is a lot closer to a
sinewave than the half frequency square wave 26 (or than are the
square waves generated by prior art methods).
It may also be noted that switching is done when both +e and -e are
zero so that no sharp switching "steps" are introduced into the
output waveform.
There are various ways of generating the waveforms of FIG. 2, which
are the key to the new halving technique. One embodiment is
illustrated in FIG. 3.
In FIG. 3, the input signal is applied to a phase splitter 30 which
can comprise a single transistor stage with the signals derived
from the collector and emitter thereof. The output signals from
phase splitter 30 are shifted by combination with DC voltages
-AE-DC.sub.1 and +AE- DC.sub.2 in summers 31 and 33 respectively to
give clamped waves +e and -e. A zero sensor 32 which can be, for
example, a clipping amplifier stage, a Schmitt trigger etc.
delivers a switch signal pulse when signal +e touches 0 volts.
Alternatively, zero sensor 32 could sense when -e touches 0 volts.
The output from zero sensor 32 triggers a flip-flop 34 opening
alternately on successions of triggers, switches 36 and 38, thus,
alternately passing the +e and -e signals to a summer 35. The half
frequency output signal from summer 35 is KE [1 cos wt/2+ 0.2 cos
3/2wt-0.029 cos 5/2wt+...].
In FIG. 4, -e is generated not by a DC shift but rather by direct
coupled inversion of the (already) generated +e waveform. The input
signal is applied to a summer 40 where a DC voltage +E is added
thereto to provide signal +e. Signal +e is phase inverted in a
phase inverter 42 to provide the -e signal. The +e signal is zero
sensed to trigger flip-flop 34 and control switches 36 and 38 in
the same manner as described with respect to the embodiment of FIG.
3.
FIG. 5 is yet another embodiment of a frequency halver. In this
embodiment the +AE cos wt+ DC.sub.2 output of phase splitter 30 can
be DC restored by DC voltage subtraction as shown in FIG. 3 or
alternatively, as illustrated, the signal is applied to a network
comprising a capacitor 44, a resistor 46 and a diode 48 where the
signal is DC restored to provide signal +e. The -AE cos wt+DC.sub.1
signal is applied to a network comprising a capacitor 50, a
resistor 52, a transistor 54 and a resistor 56 where capacitor 50,
resistor 52 and the diode input of transistor 54 provide DC
restoration and the output taken at the collector of transistor 54
provides the zero sensing signals to switch flip-flop 34. The
negative switch signal pulses 57 going to ground occur when -e
touches 0 volts (actually when it goes slightly positive since
perfect DC restoration actually does not take place).
A slight variation which eliminates one switch is shown in FIG. 6.
A resistor 58 having twice the value of resistors 60 and 62
combined attenuates the - Ae signal twice as much as resistors 60
and 62 attenuate the +Ae signal. Thus, when transistor 64 is open,
the output = +2e-e= +e. When transistor 64 is shorted, the output =
0-e= -e. Thus, the output wave is identical to that of FIG. 2 even
though only one switch is used.
Another very practical variation is illustrated in FIG. 7. Only one
switch and only one "clamped" signal are required to give a half
frequency output signal identical to that of FIG. 2.
This is made possible as follows:
The "switched signal" e.sub.s consists of a train of "pulses" of
the form E(1+ cos wt). Noting that (1+ cos wt )= 2 cos.sup.2 w/2t
by trigonometric identity, it follows that e.sub.s consists of a
train of cosine squared "pulses." The Fourier series for e.sub.s is
e.sub.s = DC [1. cos wt/2+ 0.59 cos wt+ 0.2 cos 3/2wt- 0.029 cos
5/2wt.+ ...].
This series is identical to that of the output signal series of
FIG. 2 except for the 0.59 cos wt term in e.sub.s. It follows that
e.sub.s can be made identical to the FIG. 2 series by cancellation
of 0.59 cos wt.
This is accomplished, as shown in FIG. 7. This subtraction method
is advantageous for reasons mentioned and because its source (-AE
cos wt) impedance can be considerably higher than that required by
DC restorers. The +AE cos wt signal is applied to a DC restorer and
switch signal generator 67 similar to that of FIG. 5. The +e output
is then applied to a single switch arrangement as in FIG. 6. The
-AE cos wt signal is applied to a resistor 69 to cancel out the
0.59 cos wt term.
Several of the embodiments already shown are obviously employable
for use with sources of nonconstant amplitude as well as sources of
constant amplitude.
For example, in the embodiment of FIG. 5, the amplitude of the -e
signal is perforce identical to that of the input signal (except
for a constant gain factor which may be necessary to raise weak
signals to the several volts required for good DC restoration).
Similarly in FIG. 5, if the diode restorer is employed to achieve
the restored +e signal, +e follows amplitude variations of the
input exactly.
In the same manner the +Ae and -Ae of FIG. 6 track input amplitude
exactly if obtained through DC restoration. Similarly, the two
vital signals of FIG. 7 (e.sub.s and the cancelling -0.59 cos wt)
track input amplitude exactly.
Thus, this new technique provides for exact and inherent amplitude
tracking between half frequency output and input signal.
Due to the manner in which the output signal is "made from" the
input signal, the amplitude tracking is perfect on a cycle by cycle
basis. There are no time constants nor nonlinearities involved as
may be the case with prior art methods. Additionally the "extra"
hardware needed in prior art methods for amplitude tracking is
eliminated by the new technique...a considerably saving in a
multicircuit applications such as dividers for a six string
guitar.
This inherent, instantaneous, exact and perfect amplitude tracking
is another feature of the new circuit which attempts to retain as
many as possible distinguishing characteristics of the input signal
in the half frequency output. The key to this, of course, is the DC
restoration process. The previously described frequency halving
techniques have been described as used with sinusoidal sources.
However, some of these embodiments can be employed with complex
input signals.
In FIG. 8A there is illustrated a complex waveform 70 having a
fundamental frequency as indicated by the dashed line 72 and having
"indentations" 74 which are caused by overtones or harmonics.
Whereas this waveform is significantly different from the well
filtered waveforms necessary for prior art dividers, it by no means
exaggerates the complexity of the "authentic" (before acoustical or
electrical filtering) tones of, for example, wind instruments or
electric guitars.
Obviously, a waveform such as illustrated in FIG. 8A would wreak
havoc with prior art dividers which depend on the zero crossings of
the "squared" wave to flip their "dividing " flip-flop.
But, in examining operation of the new divider technique it is
found that the switch signal provided by the restorer/switch signal
generator, transistor 54 of FIG. 5, occurs only once during each
cycle of the input wave (when -e of FIG. 8B touches zero...actually
when it goes slightly positive turning transistor 54 on).
Thus, output from flip-flop 34 of FIG. 5 is indeed at half
frequency. Therefore, there is already a significant improvement
over the prior art techniques. For, if one is content with a square
wave half frequency signal, the flip-flop output gives reliable
operation with much more input waveform complexity (less filtering)
than prior art methods which not only cease dividing but may
actually erroneously multiply frequency (and not necessarily by an
octave) when confronted by extra "false" zero crossings caused by
overtones.
However, not settling for a square wave output, for good tonal
characteristics the switched +e and -e restored waves of FIG. 8B
are combined, as described previously, to achieve the half
frequency output of FIG. 8D. (Obviously, either of the "one-switch"
methods described previously can also be used even with complex
waves.)
Examination of the waveform FIG. 8D shows that the "indentations"
76 caused by overtones are retained in the output waveform.
As described above, the disclosed technique of frequency halving is
superior to the zero crossing methods of the prior art when complex
input waveforms are considered. However, the solution of one
remaining problem carries it considerably further ahead.
Consider the "double peak" waveform of FIG. 9A which can occur as a
"transient" condition in an unfiltered plucked guitar note and as a
sustained condition in an unfiltered note from a wind
instrument.
Assume DC restoration to -e, FIG. 9B, and switch signal generation
FIG. 9C, as achieved by transistor 54 in FIG. 5. Now, if peaks
p.sub.1 and p.sub.3 are greater than peaks p.sub.2 and p.sub.4 a
switch signal is generated by transistor 54 only by p.sub.1 and
p.sub.3...when -e of FIG. 9B touches zero and normal flip-flop
division occurs.
Similarly, normal operation occurs if p.sub.2 and p.sub.4 are
greater than p.sub.1 and p.sub.3...i.e., normal operation occurs if
the "true" peak is greater than an immediately preceding or
following "false" peak.
Cases occasionally arise with unfiltered musical tones where
immediately adjacent "true" and "false" peaks are of identical
amplitude, as shown by the equality of p.sub.1 and p.sub.2 of FIGS.
9A and 9B.
Such a condition results in improper operation of the technique of
FIG. 5. The first zero touch of -e on peak p.sub.1 gives a switch
signal p.sub.1 which slips the flip-flop of FIG. 5. Another switch
pulse is not desired until peak p.sub.3 occurs. But, it is obvious
that the "false" second switch pulse at zero touch p.sub.2 triggers
the flip-flop of FIG. 5 erroneously.
This "double peak" problem could obviously be eliminated if only
pulses p.sub.2 and p.sub.3 were allowed to trigger the flip-flop,
pulses p.sub.2 and p.sub.4 being rejected. The solution of this
problem requires one key "extra" flip-flop 78 (see FIG. 10). The
"normal" switch signal pulses generated by zero touches of -e in
FIG. 9B are now called "Set Pulses." Phase inversion of the input
signal in phase splitter 10 of FIG. 10 followed by DC restoration
and " switch signal generation at 82" as in FIGS. 9D and 9E results
in "Reset Pulses" which occur at the most negative peaks c of the
original wave of FIG. 9A.
The set pulses are fed to one side of flip-flop 78, the reset
pulses to the other side. Thus, after a reset pulse occurs, only
the first of the two set pulses shown as p.sub.1 and p.sub.2 can
trigger flip-flop 78.
The output of flip-flop 78 is shown in FIG. 9F.
The positive going switchings of flip-flop 78 trigger flip-flop 34
whose output FIG. 9G is seen to be reliable at half frequency as
desired. Thus the "double peaks" no longer cause any trouble. It
may be noted also that "double peaks" on the bottom of the waveform
have no ill effect either. Only the first of the resulting pair of
reset pulses can reset flip-flop 78.
The resulting advantages associated with being able to divide an
unfiltered signal or tone still rich in its original
"distinguishing" overtones have been discussed previously and need
no further elaboration.
Slight variations in the method of FIGS. 9 and 10 (such as
restoring waveform 9A positively in order to generate reset pulses
without inverting waveform 9A will be discussed hereinafter.
A detailed circuit for use with instruments which produce only one
note at a time (e.g., flute, saxophone or guitar if only one string
is struck at a time) is shown in FIG. 11. In this embodiment the
circuit set forth was employed with a flute.
A small crystal microphone 84 is attached externally to a flute
(not shown) in back of the mouthpiece thereof. The output from the
microphone 84 is applied to a flute preamp 86. In the reduction to
practice of this embodiment the microphone output varied from about
0.02 volts peak-to-peak on low C to about 0.08 volts on the higher
C two octaves up (a slope of 12db. octave). A 008 microphone
resonance on high G gave output of 0.5. volts. This large variation
was unpleasant from an aesthetic musical standpoint due to the over
emphasis of higher harmonics as well as the loudness of higher
notes. Therefore, several low pass cuts were employed in the preamp
to give a flat response over the flute's three octave range. That
is, the higher frequencies were attenuated to provide a flat
response. If a better microphone is employed the cuts may be
eliminated.
The output from preamp 86 is connected to a dual output amplifier
88. Other instruments such as the louder and lower saxophone (used
with the same microphone as for the flute), trumpet, guitar, etc.,
would be connected to amplifier 88 without coupling through preamp
86.
Circuit operation is similar to that shown in FIG. 6. The -e
restore signal is attenuated by a resistor 90 twice as much as the
+e restored signal so the output labeled f/2 is either +e-e/2= e/2
when the switch transistor 100 is open or 0-e/2= -e/2 when the
switch is shorted.
The f/2 signal and the "straight-through" f signal are connected to
an output pot 92 so that the user can have them singly or in any
desired combination.
Set and reset pulses and an "extra" flip-flop 94 (similar to
flip-flop 78 of FIG. 10) already discussed are employed as shown.
Of special note are the diode coupling of set and reset pulses to
flip-flop 94 by diodes 96 and 98 and the common emitter resistor 97
of flip-flop 94. Sometimes small "false" set and reset pulses not
going all the way to ground are generated by "false" peaks in the
input waveform lesser in magnitude than the "true" peaks. This
effect is especially severe on lower notes where the RC time
constant of the DC restorers is somewhat too small and tends to
"restore" false peaks. (When covering close to three octaves for
musical instruments the "best" RC time constant is perforce a
compromise. It cannot be small for reasons just mentioned. It
cannot be made too large because then any circuit noise causes some
of the peaks of higher notes to "miss being restored" with
subsequent loss of set and reset pulses.).
If capacitor coupling of the pulses to flip-flop 94 were used, the
flip-flop could be triggered erroneously by the smaller "false"
pulses. This problem is overcome by the diodes 96, 98 and the
emitter resistor 97. The emitters of flip-flop 94 (in the
embodiment shown) are about +2 volts (one side or the other always
being "on"). Thus the set and reset pulses must be of sufficient
magnitude to get below +2 volts before they can pass through the
coupling diodes. In this way, smaller "false" pulses are
blocked.
In this embodiment, the switch transistor 100 could be removed and
a diode used instead. The diode would come from transistor 103 of
flip-flop 102 and connected to the junction of a pair of resistors
104, 106 pointing away from this junction. When transistor 103 was
at 0 volts the +e voltage would be shorted to ground through the
diode and the conducting transistor 103. When transistor 103 was at
B+ volts the diode would be reverse biased and the +e signal would
pass.
In the preferred embodiment, germanium transistors and a germanium
diode are used in the restorers since they are superior to silicon
in terms of restoring low level signals (such as at the end of a
"decaying" guitar note).
Due to the false peak restoration problem on low frequencies and
"missed peak" problems due to noise at high frequencies, the
resistors in the restorers should be selected to give the optimum
restorer time constant for each specific class of instruments.
Another embodiment of the frequency halving technique is shown in
FIG. 12. In this embodiment, the need for a dual output amplifier
is eliminated by restoring above B+ to generate the set pulses.
This affords larger dynamic range with a given supply voltage and a
given number of amplifier transistors. The output from the preamp
86 is applied to an amplifier 108.
The output from amplifier 108 is applied to a DC restorer-reset
pulse generator as described above and also applied to a circuit
110 for restoring the signal above B+ to generate the set pulses.
This circuit 110 generates set pulses at the bottoms of the wave
applied thereto. The resultant positive going set pulses are
coupled to the same side of flip-flop 94 as the negative going
reset pulses. Whereas the + 2 volt thresholding action of emitter
resistor 97 of flip-flop 94 does not now apply to the positive
going set pulses, a resistor 112 is added in series with the set
pulse coupling diode 114 to prevent smaller "false" set pulses from
triggering flip-flop 94.
It may be noted that in this embodiment, the half frequency signal
(f/2) is obtained by the cancellation technique described with
respect to FIG. 7.
The fundamental frequency f is applied to an inverter 115 and the
output from the inverter is subtracted from the switched signal in
a summer circuit 116.
A double frequency output is also generated by this circuit. The
output from amplifier 108 is applied to a half wave rectifier 118
to give an output of 1. cos wt+ 0.424 cos 2wt...Cancellation of the
fundamental by the +xf subtraction in a summer 120 leaves the
second harmonic. As with the f/2 signal, the amplitude of the
double frequency signal tracks that of the input perfectly without
variable gain as needed in the prior art.
The 2f output from summer 120, the f output from inverter 115, and
the f/2 output from summer 116 are applied to potentiometers 122,
124, and 126, respectively, with the output signals therefrom being
combined in a summer network 129. In this manner, the 2f, f, or f/2
signals can be obtained separately or in any desired combination.
The three pots permit a vast selection of "tonal gradations" since
the relative amplitudes of f/2, f, and 2f can be set in many
different combinations. The 2f signal adds a certain "brightness"
of tone.
Small feedback capacitors 128, 130 in the 2f and f/2 summing
stages, respectively, remove small spikes (due to the flip-flops)
which are coupled by stray pickup. The capacitors do not affect the
2f or f/2 signals themselves.
The embodiments illustrated in FIGS. 11 and 12 can be used for
frequency changing with an electric guitar if only one string is
plucked at a time.
In a "good" environment, no special modification of the guitar is
required. However, if the guitar is played near a fluorescent
light, for example, the electromagnetic power frequency noise
induced in the guitar pickup may interfere with the frequency
division process, especially on the higher notes where the
"compromise" restorer time constant is too large. If division is
desired only on the lower strings to transform a guitar into an
electric bass, the noise is no problem. However, for division over
the 31/2 octave range of the guitar, certain pickup modifications
may be desirable to reduce electromagnetic pickup.
One solution is to use a double pickup guitar with its selector
switch set to center position, summing the signals from the two
pickups. If the pickup coils are phased properly, "hum bucking"
will be achieved offering a large improvement in signal to noise
ratio.
Another solution employs a single pickup 131 phase wound as shown
in FIG. 13A to minimize electromagnetic pickup. The winding is
wound in one direction about three of the permanent magnets 132,
134, and 136 associated with three guitar strings (not shown) and
in the opposite direction about three of the permanent magnets 135,
140, and 142 associated with the other three guitar strings (not
shown). The magnets 132, 134, 136, 135, 140 and 142 can be
individually raised or lowered with respect to their associated
strings for providing sensitivity adjustment.
This technique is also applicable to pickups employing only a
single magnet whereby the winding would be wound one-half cw and
one-half ccw. For example, in FIG. 13B a single magnet pickup 190
is shown having six adjustment screws 191 (one for each string) and
the coil 192 is wound as shown. If it is desirable to perform
electrically modifications (frequency halving, frequency doubling,
tone change, etc.) on the output from a guitar where more than one
note is struck at a time then separate pickups must be employed for
each string with an output from each pickup being coupled to its
individual electronic circuit for performing the desired electronic
modification.
This is illustrated in FIGS. 13C and 13D where a separate pickup
coil 144.sub.1 -144.sub.6 is used for each permanent magnet
146.sub.1 -146.sub.6 making up individual electromagnetic
transducers for each string 148.sub.1 -148.sub.6. With this
embodiment it is possible to employ different AGC time constants on
melody and base strings so as to have the melody notes for example,
"hang on" longer than the bass notes or vice versa. With separate
transducers a stereo effect can be derived by employing two or more
speakers (even to the extent of having a separate speaker for each
string). To prevent crosstalk between adjacent strings, magnetic
shields 150 are employed. If this shielding is absent, an
interesting effect occurs on certain combinations of notes. A
frequency modulation of the f/2 notes similar to a vibrato at the
beat frequency between the two notes occurs. This is not
unpleasant. However, with other combinations of notes, the
crosstalk results in erratic operation of the f/2 circuitry.
Shielding the pickups as shown solves this problem.
Various other pickups constructed according to the invention are
illustrated in FIG. 14. In FIG. 14A U-magnets are employed as the
individual magnets, one magnet 200 for each string 201 (only one
being shown for illustration purposes). Each magnet 200 has an
associated pickup coil 202. Using a U-magnet, greater magnetic
coupling is achieved with the associated string.
If the U-magnets are arranged as shown in FIG. 14B crosstalk
between adjacent coils will be minimized since adjacent fluxes will
be repelled. In FIG. 14C the same theory is applied. However the
magnets are staggered to provide additional room in which to place
their associated coils 199. In the embodiments of FIGS. 14B and 14C
no shielding as shown in FIG. 13C is required.
FIGS. 15A- 15G show various sensitivity adjustment arrangements. In
FIG. 15A a longer U-magnet 203 is fitted within a cover plate 204
and raised or lowered with respect to string 205 to make the output
from that string louder or softer. In FIG. 15B a screw adjustment
is provided to change sensitivity of a bar magnet. The screw 206 is
made of, for example, soft iron. An iron piece 207 is placed
adjacent bar magnet 208 to give improved coupling to string 209. In
FIG. 15C two screws 210 are used and the coil 211 is placed about
one of the screws. Adjustment of the screws 210 cause more or less
magnetic coupling to the string 212.
In FIG. 15D the magnet 213 is attached to a pair of members 214
made of, for example, soft iron which members are slidably fitted
within a plate 215 for movement up and down to vary magnetic
coupling to the string 216. The magnet 213 is preferably
rectangular or cylindrical and the members 214 are preferably
rectangular. These concepts can also be used with other shaped
magnets. For example, FIG. 15E illustrates using a horseshoe magnet
217 with adjusting screws 218 coupled thereto at the poles of the
magnet.
In FIG. 15F the U-magnet 219 has screw portions 220 attached
thereto within a coverplate. A spring 223 is situated below the
magnet whereby variable magnetic coupling to string 224 is achieved
by turning the screws, the whole assembly being raised or lowered
thereby. In FIG. 15G variable coupling to the string 225 is
achieved by turning screw 227. Alternatively, a pair of screws
could be employed. Suitable springs, not shown, lower the magnet as
the screw or screws are withdrawn.
Of course, sensitivity could be achieved electrically by, for
example using potentiometers at the amplifier inputs or elsewhere.
It may be noted that electrical sensitivity adjustment cannot be
provided for in conventional single coil pickups.
The individual coils can also be alternately phased for magnetic
pickup reduction of a summed "straight through" signal.
Using a multiple pickup as described, and six circuits similar to
that of FIG. 12 gives a high performance system producing f/2, f,
and 2f for a six string guitar.
This circuitry is shown in FIG. 16 with that portion lying within
the dashed lines 161 being repeated six times.
The outputs from the guitar pickup coils 144.sub.1 -144.sub.6 are
applied to a plurality of amplifiers 160. The outputs from
amplifiers 160 are summed in a summer 162 with the summed f signals
fed to a potentiometer 163 where the desired amount of f signal can
be obtained and summed with the desired amount of f/2 and 2f signal
in a summer 164.
The outputs from amplifier 160 are also applied to a corresponding
plurality of 6db. per octave filters 165, attenuating the second
harmonic which may be generated by certain of the guitar strings.
Occasionally, a decaying guitar note can go through a brief period
of being almost perfect second harmonic. The f/2 circuitry, even
though working perfectly, divides this back to only f and not f/2.
The filters alleviate this problem. The output from the filters 165
are applied to the circuits for generating the flip-flop reset and
set pulses as described above. The outputs from the filters 165 are
also applied to doubler 118 where 2f+ xf signals are generated. The
2f +xf signals are summed together with a -xf signal in a summer
166 to provide the 2f signal at potentiometer 167. The f signal
outputs from filters 165 are summed and inverted in summer 168 to
generate the -xf signal which is subtracted in summer 166 as
described above. The f/2 signals are generated in the same manner
as described in FIG. 12 and summed in a summer 169.
In some situations the f signal can be obtained at the output of
flip-flop 94 and the f/2 signal at the output of flip-flop 102. The
sound produced will be of constant amplitude with no decay and will
sound very much like an organ. For special effects, these outputs
can be combined with the other f, f/2, etc. outputs.
Another method of DC restoration or clamping is shown in FIG. 17.
Input signal e.sub.1 is inverted in inverter 170 to provide e.sub.2
and applied to a half wave peak detector 172 to give e.sub.3. As
shown by the arrows, the peaks of e.sub.3 are identical in
magnitude to the negative peaks of e.sub.1. Obviously, addition of
e.sub.1 and e.sub.3 in summer 174 gives a clamped signal e.sub.4
whose lower peaks are exactly at ground (not going below ground as
must happen in a conventional restorer while the C is charging).
Half wave rather than full wave detection is required for complex
wave shapes whose positive and negative peaks may differ in
magnitude. A full wave peak detector can be used instead of half
wave peak detector 172 for symmetrical waveshapes.
The techniques hereinbefore described can also be used to generate
an f/4 sub/sub octave (also f/8, etc.). The output of the dividing
flip-flop, for example, flip-flop 34 of FIG. 10, can trigger
another flip-flop making it run at f/4. This flip-flop controls a
switch which shorts out alternate cycles of the f/2 waveform.
Techniques already discussed then give f/4 from this switched f/2
wave.
The dividing technique can be useful in "fixed tone" musical
systems such as electronic organs. Where amplitude envelope is of
more importance, possibly in electronic pianos, the advantages of
the new circuit may make it quite useful.
As shown, frequency division circuits can handle relatively complex
input waveforms. However, those produced by the human voice are
"too much for it" except on the simpler vowel sounds.
The simple addition of band-pass filters 180.sub.1 -180.sub.n as
shown in FIG. 18 adapts the system for use with the human voice.
Each f/2 circuit 182 handles a segment of the audio spectrum and,
consequently, a less complex input waveform. The circuitry is
similar to that of FIG. 16. With singing, the effect produced by f
and f/2 is rather pleasant. For talking, the f/2 can make a woman's
voice sound like that of a man. Possibly useful for greater
intelligibility under certain conditions, the f/2 technique also
lowers transmission bandwidth by a factor of two. For voice
instructions to computers, a simpler problem is presented if
woman's voice is lowered to the rang of man's.
With band-pass filtering recorded or radio music can be lowered an
octave.
For special effects, a tape can be played at double speed and its
output divided to be at the original frequency. (For music and
speed listening).
Similarly, the f/2 output can be recorded and then played back at
double speed. The resulting output will be twice as fast as
recorded but at the original pitch. Again, this could be used for
special musical effects or for "speed listening" e.g., similar to
speed reading but for blind people).
In certain electronic applications (e.g., FM altimeters and depth
finders) it is desired to determine the fundamental frequency of a
complex waveform by use of counting techniques. With waveforms such
as that of FIG. 8B, prior art counters based on counting zero
crossings obviously yield an erroneously high count.
With the "extra" flip-flop scheme of FIG. 9, the output of
flip-flop 78 can be counted to yield an accurate count by which the
fundamental frequency of a complex waveform can be determined much
more accurately than with prior art zero crossing techniques. This
is illustrated in FIG. 19. The complex input signal is applied to
phase splitter 30 with an output therefrom applied to transistor 54
to generate set pulses for flip-flop 78. The other output from
phase splitter 30 after DC restoration and switch signal generation
results in reset pulses for flip-flop 78. The output of flip-flop
78 is applied to a digital counter 240. The positive zero crossings
of the square wave output of flip-flop 78 when counted and divided
by the time of the count give the frequency of any complex wave
applied at the input thereto.
* * * * *