U.S. patent number 3,920,904 [Application Number 05/395,371] was granted by the patent office on 1975-11-18 for method and apparatus for imparting to headphones the sound-reproducing characteristics of loudspeakers.
This patent grant is currently assigned to Eugen Beyer Elektrotechnische Fabrik. Invention is credited to Jens Blauert, Peter Laws.
United States Patent |
3,920,904 |
Blauert , et al. |
November 18, 1975 |
Method and apparatus for imparting to headphones the
sound-reproducing characteristics of loudspeakers
Abstract
Sound signals are created at the eardrums of a listener to
correspond to sound signals which would be created at the eardrums
of such listener in a predetermined acoustical environment in
response to first electrical signals applied to a loudspeaker
having known sound-reproducing characteristics. The soundwaves at
the eardrums of the listener are measured as a function of
frequency to determine the pressure signals at the eardrums of the
listener when the listener is listening to acoustical information
transmitted by the loudspeaker. An electroacoustical transfer
function, relating the electrical input signal of the loudspeaker
to the pressure actually impinging upon the eardrums is determined.
The same is done for a set of earphones, so as to determine a
second transfer function associated with the earphones. A
compensating network is connected to the earphones. The
compensating network has a transfer function corresponding to the
quotient of the first transfer function divided by the second
transfer function.
Inventors: |
Blauert; Jens (Aachen,
DT), Laws; Peter (Aachen, DT) |
Assignee: |
Eugen Beyer Elektrotechnische
Fabrik (Heilbronn, DT)
|
Family
ID: |
5855825 |
Appl.
No.: |
05/395,371 |
Filed: |
September 7, 1973 |
Foreign Application Priority Data
Current U.S.
Class: |
381/310;
381/74 |
Current CPC
Class: |
H04S
1/005 (20130101); H04S 2420/01 (20130101) |
Current International
Class: |
H04S
1/00 (20060101); H04r 005/00 () |
Field of
Search: |
;179/1G,1D,1GA,1GP,100.45 |
References Cited
[Referenced By]
U.S. Patent Documents
Foreign Patent Documents
Other References
Stereophonic Earphones & Benauial Loudspeakers by Bauer,
Journal AES, Apr, 1961..
|
Primary Examiner: Claffy; Kathleen H.
Assistant Examiner: D'Amico; Thomas
Attorney, Agent or Firm: Striker; Michael S.
Claims
What is claimed as new and desired to be protected by Letters
Patent is set forth in the appended claims:
1. Method for creating sound signals at the eardrums of a listener
by means of earphones, to correspond to sound signals which would
be created at said eardrums of said listener in a predetermined
acoustical environment in response to first electrical signals
applied to a loudspeaker, comprising, in combination, the steps of
measuring the amplitude and delay time of soundwaves at said
eardrums of said listener as a function of frequency in response to
electrical signals applied to said loudspeaker when said listener
is in said acoustical environment in such a manner as to determine
a corresponding desired transfer function; measuring the amplitude
and delay time of soundwaves at said eardrums of said listener as a
function of frequency in response to electrical signals applied to
said earphones in such a manner as to determine a corresponding
earphone transfer function; and furnishing an electrical network
having a network transfer function corresponding to the ratio of
said desired transfer function to said earphone transfer function,
said electrical network having first input for receiving said first
electrical signals and a pair of outputs; and connecting said
earphones to said pair of outputs.
2. A method as set forth in claim 1, wherein a predetermined time
shift exists between soundwaves produces at said eardrums of said
listener by said earphones and the soundwaves which would exist at
said eardrums of said listener in said predetermined acoustical
environment in response to said first electrical signals.
3. Arrangement for creating sound signals at the eardrums of a
listener to correspond to sound signals which would be created at
said eardrums of said listener in response to electrical signals
applied to a loudspeaker positioned symmetrically to said eardrums
of said listener, and wherein a transfer function A.sub.M (f)
defines the sound pressure at said eardrums of said listener in
response to predetermined first electrical signals applied to said
loudspeaker, comprising, in combination, earphone means for
creating an earphone transfer characteristic A.sub.K, said earphone
transfer characteristic constituting a measure of the variation
with respect to frequency of the sound pressure at said eardrums in
response to earphone test signals applied to said earphones;
network means having at least one input for receiving electrical
signals, a pair of outputs, and a network transfer function
corresponding to the ratio of A.sub.M (f) divided by A.sub.K (f);
and connecting means for connecting said earphones to said pair of
outputs of said network means and said first electrical signals to
said input of said network means.
4. An arrangement as set forth in claim 3, wherein said
predetermined acoustical environment comprises a first and second
loudspeaker positioned symmetrically to said eardrums of said
listener and responsive, respectively, to first and second
electrical signals; wherein a first and second desired transfer
function A.sub.C (f) and A.sub.S (f) define, respectively, the
transfer function from the input of said first loudspeaker to said
first and second eardrum of said listener respectively; wherein
said network means have a first and second input for, respectively,
receiving said first and second electrical signals; wherein said
electrical network means comprise a first and second summing stage,
each of said summing stages having a first and second input and a
summing output; wherein said electrical network means further
comprise a first and second input stage having a transfer function
substantially equal to A.sub.C (f) divided by A.sub.S (f) and a
first and second output stage having a transfer function
substantially equal to A.sub.S (f) divided by A.sub.K (f); wherein
said network means further comprise first connecting means
connecting said first input of said network means directly to said
first input of said first summing stage, and said second input of
said network means directly to said first input of said second
summing stage, second connecting means for interconnecting said
first input stage between said first input of said network means
and said second input of said second summing stage; third
connecting means for connecting said second input stage between
said second input of said network means and said second input of
said first summing stage; and fourth connecting means connecting
said first output stage between said summing output of said first
summing amplifier and said first output of said network means and
for connecting said second output stage between said output of said
second summing stage and said second output of said network
means.
5. An arrangement as set forth in claim 4, wherein said
predetermined acoustical environment further comprises a third and
fourth loudspeaker, arranged symmetrically with respect to said
eardrums of said listener; further comprising additional network
means, corresponding to said network means set forth in claim 4,
and connected to said third and fourth loudspeaker, said additional
network means also having a pair of outputs; further comprising a
first and second additional summing stage each having a first and
second input and an output; further comprising means for connecting
one of said pairs of outputs of said first and additional network
means respectively to said first and second input of said first
additional summing stage, and the other of said outputs of said
first and additional network means to said first and second inputs
of said second additional summing stage; and means for connecting
said first and second earphones respectively to said output of said
first and second additional summing stages.
Description
The invention relates to a method for imparting to an earphone set
at least some of the sound-reproducing characteristics normally
exhibited only by a loudspeaker, or by a plurality of spaced
loudspeakers in the case of stereo reproduction. The invention
relates not only to the frequency response characteristics of
earphone sets versus loudspeakers, but is furthermore concerned
with the possibility of simulating the spaciousness of the sound
reproduced by a loudspeaker, and particularly that produced by a
plurality of speakers spaced apart from each other.
Earphones are being used nowadays in ever greater numbers,
especially in the entertainment industry, wherein they are used now
very commonly for listening to radio broadcasts, phonograph records
and tape recordings. In addition, earphones are used for technical
purposes, e.g., for monitoring purposes during recording sessions
and during broadcasting.
One of the principal reasons for the growing popularity of earphone
sets for home use, as opposed to the more familiar loudspeakers, is
that they permit listening to broadcast and recorded material
without disturbing other persons not wishing to listen, and
likewise prevent the listener from being distracted by other sound
sources which may be present.
A significant disadvantage associated with the use of earphone
listening sets, as opposed to ordinary loudspeakers, is that
earphones, even those of high quality, exhibit sound-reproducing
characteristics markedly different from those of loudspeakers.
These different sound-reproducing characteristics include not only
differences in frequency response, but equally important,
differences in the sense of acoustical spaciousness experienced by
the listener.
In order to make clearer the concepts in question, reference should
be had to FIG. 1. An acoustical event has objective temporal,
spatial and spectral characteristics. The objectively determinable
parameters of an acoustical event include the nature of the sound
source, the distance of the sound source from the hearer, the
orientation of the sound source with respect to the hearer, the
particular sound field or sound signals impinging upon the eardrums
of the hearer, i.e., such parameters as can be measured for
purposes of an objective description of the physical phenomena
associated with the perception of an acoustical event.
FIG. 1 depicts, by way of example, a human hearer VP and a
loudspeaker L spaced some distance from the human hearer in a room
characterized by very low reverberation, i.e., the walls, floor and
ceiling of the room tend to absorb rather than reflect the sound
waves impinging upon them, so that the sound perceived by the
hearer VP is not markedly complicated by the superimposition upon
the source waves of many-times reflected sound waves.
If an electrical signal is applied to the electrical input of the
loudspeaker, the human hearer VP will experience an acoustical
perception h.sub.1, located, so far as the hearer can determine, at
a distance r and oriented in the indicated direction with respect
to the center of the listener's head, the acoustical perception
appearing to be more or less sharply localized in the graphically
depicted position of FIG. 1. In other words, and this is of
importance, under certain definite experimental conditions a
specific acoustical event s.sub.1 (here the electro-acoustically
converted signal emanating from the loudspeaker) has associated
therewith a certain acoustical perception h.sub.1. This acoustical
perception h.sub.1 has its existence in the nervous system and
brain of the listener, and does not necessarily correspond to the
actual location and orientation of the acoustical event, as is
clear from FIG. 1. The characteristics of the acoustical perception
h.sub.1 can only be determined by receiving verbal descriptions
from a human hearer concerning his subjective experience of the
acoustical event. The acoustical perception h.sub.1 accordingly
cannot be measured directly, as can the acoustical event s.sub.1,
although clearly the acoustical perception h.sub.1 is of far
greater importance than the abstract acoustical event s.sub.1.
When an earphone set is plugged into the same electrical outputs
into which are plugged the inputs of a loudspeaker or loudspeaker
system, in order to run a comparison test using the same musical
composition, for example, very marked differences are observed in
the acoustical perceptions of the listener, when using the
earphones instead of the loudspeaker. Aside from the differences in
frequency response, there are other differences of a psychological
nature relating to the spatial characteristics of the perceived
sound, the most important of which is the well-known "orchestra in
the head" effect. The orchestra, in the case of an orchestral
composition, is perceived as being located within the head of the
listener or at a distance from the listener's head on the order of
magnitude of the distance between the listener's ears. This is
especially the case when listening to loud music, which is
frequently done when listening with high-quality stereophonic
equipment.
It has been extremely difficult to deal in a systematic and
scientific manner with these psychological phenomena. The causes of
these phenomena have always been assumed to include such factors as
unavoidable differences in the sound-reproducing characteristics of
the two transducers of an earphone set, the exact positioning of
the earpieces with respect to the listener's ears, the pressure
with which the earpieces press against the listener's ears, the
sound transmissivity of the skull bone of the particular listener,
the effect of the listener moving his or her head while listening,
and many other such psychological and physiological factors. Also
to be considered is the fact that when a listener employs an
earphone set the signals actually impinging upon his eardrums are
produced in a manner different from the manner in which signals are
produced by a loudspeaker, especially a large loudspeaker. In
particular, when listening with earphones, the total
electroacoustical transduction phenomenon does not include the
factors of substantial transmission distance, the sound
distribution within the room between speaker and listener, the
diffusion of sound before the sound reaches the listener's
eardrums, etc.; instead, the total electroacoustical transduction
depends more directly upon the transducer characteristics of the
earphones.
There is great practical interest in the problem of eliminating
both the spatial and spectral distortion associated with the use of
earphone sets, i.e., as specifically compared to the spatial and
spectral phenomena associated with high-quality loudspeakers
employed to listen to the same material.
German Offenlegungsschrift 1,927,401 discloses an attempt to deal
with this problem. According to the approach in question,
experiments are conducted on an artificially constructed human head
provided with two microphones in the regions of the ears of the
artificial head. The acoustical characteristics of an actual human
head are simulated to the extent possible, and measurements are
taken of the sound reception in the eardrum locations of such head.
As a result of the measurements taken, recording engineers can
modify their recording technique in such a manner as to produce
recordings or broadcasts which, when listened to with earphones,
will have the desired improved qualities. However, this approach is
of little value for practical reasons. Firstly, it would establish
an entirely new category of recording and broadcasting techniques,
namely those which would be used with either earphone or
loudspeaker listening specifically in mind. This is evidently
undesirable because the result would be the manufacture of records
and tapes, and the transmission of broadcasts falling into one or
the other of the two categories, with the listener being compelled
to listen in the selected way, or else settle for a very
considerable amount of distortion.
The use of this "artificial head" method for program consumers is
really out of the question right from the start, since for the
program conversion use must be made of a loudspeaker arrangement in
order to apply to the "artificial head" the corresponding
loudspeaker program. However, it is exactly this which should be
avoided in many instances, because of the resulting disturbing
noise and because of the considerably increased cost of the
required equipment.
German Offenlegungsschrift 2,007,623 discloses an arrangement, not
making use of an artificial human head, having the special purpose
of converting electroacoustical stereophonic intensity information
into information modified to take into account sound transmission
time. This arrangement operates on the same principle as disclosed
in U.S. Pat. No. 3,088,977. It attempts to avoid the distortion in
spatial characteristics associated with headphones, as compared to
loudspeakers, through the use of delay circuitry and
frequency-dependent damping circuitry for both earpieces of the
earphone set and cupled to each other. The coupling together is
such as to deliberately introduce cross-talk into the two channels,
in an attempt to simulate the "cross-talk" in the acoustical
perception of a listener listening to spaced stereo
loudspeakers.
However, the electroacoustical transducer characteristics of
conventionally employed earphones vary markedly from one earphone
type to another. For this reason and others, such an arrangement is
not very effective, even within the limits of the specific context
and purpose for which it is intended, because the transducer
characteristics of the earphones are in no sense taken into
account. As a result, the known arrangements do not make it
possible to significantly avoid the spatial and spectral
distortions in the subjective acoustical experience of the earphone
user described above. Likewise, it is not possible with such
arrangements to simulate the specific spatial and spectral
transducer characteristics of loudspeakers, or of the particular
loudspeaker to which the listener is accustomed and which usually
forms the basis of what the listener subjectively judges to be an
undistorted reproduction of sound. The creation of acoustical
perceptions, which take into account the characteristics of
employed loudspeakers, can however for example be necessary for a
sound engineer, who in certain circumstances may be forced to
monitor a broadcast or recording session using earphones and will
require and expect an exact correspondence between the spectral and
spatial characteristics of the sound he hears using earphones and
the sound he would hear if he employed the studio loudspeaker
arrangement.
The general purpose of the invention is to overcome the
disadvantages of the known methods and arrangements, and to provide
a method which, with program material normally edited through the
use of loudspeakers, such as is the case with radio broadcasting,
phonograph record recording, and tape recording, etc., can be
listened to using earphones which produce a subjective acoustic
experience corresponding as exactly as possible, both in spatial
and spectral respects, to the acoustic experience of a listener
listening to loudspeakers.
The invention exploits the surprising realization that it is
possible for a person listening with earphones to have the
subjective experience of listening to loudspeakers, if only the
physically measurable sound signals impinging upon the listener's
eardrums when listening with earphones are made to correspond as
exactly as possible to the sound signals impinging upon the
eardrums when listening to loudspeakers. This realization and basic
approach are new. Hitherto it has always been taken for granted
that the problem in question could be solved only by taking
separately into account a sizable number of complicated and usually
rather nebulous psychological and physiological considerations.
It is essential to the inventive concept that the sound signals
impinging upon the listener's eardrums correspond as exactly as
possible to the sound signals which would impinge upon the
listener's eardrums if the same audio information were transmitted
to him from a loudspeaker arrangement. As explained before, the
actual acoustical perception of a listener is a highly subjective
matter and differs markedly form one individual to another. We have
determined, after many series of experiments, that it is in fact
possible to give the listener using earphones the impression that
he is listening to a loudspeaker arrangement simply through the
duplication of the sound signals impinging upon the listener's
eardrums when he listens to a loudspeaker.
In fact, experimentation has indicated that the basic principle of
the invention results in more than a mere improvement in the
correspondence between the listening experience using earphones and
that had when listening to loudspeakers; the resemblance between
the two listening experiences has been made so extreme as to be
astounding. In addition, the inventive expedient has proved
realizable without any great increase in the usual costs of
production.
According to the invention, it has been found advantageous to
establish a close correspondence between the Fourier transform of
the signals impinging upon the eardrums when the sound source is an
earphone set and the Fourier transform of the signals impinging
upon the eardrums when the sound source is a loudspeaker
arrangement. The Fourier transforms are advantageously made to
correspond both with respect to magnitude and phase, and the result
is a distortionless time shift of the sound signals. However, a
distortionless time shift, i.e., a shift relative to the longer
sound travel time when using loudspeakers, of the sound signals is
of no consequence to the listener, provided that there is a
sufficiently close correspondence between the Fourier transforms of
the signals with respect to magnitude and phase. In other words,
the distance between the sound source and listener when a
loudspeaker arrangement is employed can be ignored when attempting
to duplicate that listening experience using only an earphone
set.
The drawing depicts several embodiments of the method and
arrangement of the invention. These exemplary embodiments deal with
the problem of imparting to earphones the sound-reproducing
characteristics of symmetrical arrangements of one, two or four
loudspeakers, in an environment substantially free of
reverberation.
FIG. 1 depicts in a very simplified and highly schematic manner the
difference between an objective acoustical event and a subjective
acoustical perception;
FIGS. 2-5 depict a first exemplary embodiment of the invention in
which the sound-reproducing characteristics of a single
loudspeaker, disposed symmetrically with respect to a listener's
head, are to be imparted to an earphone arrangement;
FIGS. 6-8 depict a second embodiment, similar to that of FIGS. 2-5,
but involving a pair of loudspeakers symmetrically disposed with
respect to the listener's head;
FIG. 9 depicts a third embodiment, similar to that of FIGS. 2-5,
but involving four loudspeakers symmetrically disposed with respect
to the listener's head;
FIG. 10 depicts a test probe for insertion into the ear of a
listener;
FIG. 11 is a diagram indicating the meaning of a number of
different transfer functions, and showing the set-up for a
particular test;
FIG. 12 depicts schematically an arrangement for measuring the
frequency dependence of the magnitude of several transfer
functions;
FIGS. 13 and 14 depict graphically the measurements made using the
arrangement of FIG. 12;
FIG. 15 depicts schematically an arrangement for measuring the
frequency dependence of the group delay time associated with
several transfer functions discussed with regard to the
invention;
FIGS. 16 and 17 depict graphically the results of tests made using
the arrangement of FIG. 15; and
FIG. 18 is a circuit diagram of a compensating stage according to
the invention.
In FIG. 2, a loudspeaker L.sub.1 is disposed symmetrically with
respect to a listener's head. The electrical signal driving the
loudspeaker is the voltage U.sub.1 (f). The sound signals actually
impinging upon the left and right eardrums of the listener are
sound pressures respectively designated p.sub.TR1 (f) and p.sub.TRr
(f).
FIG. 3 depicts the effective input-output network existing in the
situation of FIG. 2. The transfer function of this network is
and constitutes a first approximation for the determination of the
(n+2k) terminal device required for the simulation, n being the
number of loudspeakers and k the number of pairs of earphones. The
electroacoustical transfer function A.sub.M (f) describes the
relationship existing between the electrical voltage U.sub.1 (f)
applied to the input of the network and the signal pressures
p.sub.TR1 (f) and p.sub.TRr (f) impinging upon the eardrums of the
listener, when the sound source is the single loudspeaker oriented
as shown in FIG. 2.
According to the basic object of the invention, earphones are to be
used to produce pressure signals impinging upon the listener's
eardrums and corresponding to p.sub.TR1 (f) and p.sub.TRr (f). To
accomplish this, the electro-acoustical transfer function of the
earphones must first be determined, as depicted schematically in
FIG. 4. This further electroacoustical transfer function is
This transfer function is that of the employed earphone pieces, and
is equal to the ratio of the Fourier transforms of the driving
voltage applied to the earphone pieces and the output signal
pressures impinging upon the left or right eardrum of the listener.
The earphone is assumed to be a linear system. These transfer
functions A.sub.M (f) and A.sub.K (f) can be determined, both with
respect to magnitude and phase, through the use of probe-shaped
microphones inserted into the ear of a listener and through the use
of attenuation and phase-measuring equipment.
If one divides the transfer function A.sub.M (f) by the transfer
function A.sub.K (f), the circuit scheme depicted in FIG. 5
results, which can simultaneously serve to realize an (n+2k)
terminal device. The signal pressures p.sub.TR1 (f) and p.sub.TRr
(f) in FIG. 5 are the pressures impinging upon the listener's
eardrums, when use is made of a pair of earphones having respective
electroacoustical transfer functions A.sub.K (f) connected to the
circuit stage X at junctions B and B'. The transfer function
[A.sub.M (f)]/[A.sub.K (f)] can be realized by an electrical
network if one has determined the transfer function A.sub.K (f)
which depends upon the earphones and the general configuration of
the outer ear of a human head. In other words, when use is made of
an arbitrarily selected set of earphones, having a known
electroacoustical transfer function, such earphones must be
connected in the manner depicted in FIG. 5 to a network X having
the transfer function indicated in FIG. 5. The network X takes into
account both the transfer function of the earphones employed and
the transfer function of the loudspeaker arrangement to be
simulated. Such a selection and connection of networks constitutes
the essential step for the achievement of a completely satisfactory
listening experience with earphones. In this way, and only in this
way, will the subjective acoustical peprceptions of the listener
using the earphone set correspond to those he would have when
listening to the loudspeaker arrangement.
FIGS. 6-8 depict the embodiment wherein n=2, i.e., where the
sound-reproducing characteristics to be simulated are those of a
pair of loudspeakers L.sub.1 and L.sub.2 disposed symmetrically
with respect to the listener's head. In this situation, four
transfer functions are involved, although because of the
symmetrical set-up the four transfer functions should be composed
of a first pair of identical transfer functions and a second pair
of identical transfer functions. The entire transducer system can
in the end be satisfactorily described by the two transfer
functions A.sub.C (f) and A.sub.S (f) and by the two summing
circuits S.sub.1 and S.sub.2 (see FIGS. 7, 8). The two summing
circuits take into account the cross-talk effect of the two
loudspeakers--i.e., they take into account the fact that sound
waves transmitted from the left speaker L.sub.1 reach not only the
left eardrum but also reach the right ear drum, and vice versa with
respect to the right loudspeaker L.sub.2. It is to be understood
that the "circuit" of FIG. 7 is a physical representation of the
relationships between the electrical input voltages and eardrum
pressures when using the loudspeaker arrangement of FIG. 6.
FIG. 8 depicts, in block diagram form, a circuit arrangement for
imparting to an earphone set-up the overall electroacoustical
transducer transfer functions of the loudspeaker arrangement of
FIG. 6. A.sub.K (f) again identifies the electroacoustic transfer
function of the earphone set employed in FIG. 4. The transfer
functions A.sub.C (f) and A.sub.S (f) are again determined by means
of a probe microphone. With the exception of A.sub.K (f), the
various transfer functions indicated in FIG. 5 and indicated in
FIG. 8 can readily be realized through the synthesis of appropriate
input-output networks using conventional techniques of transfer
function synthesis.
The set of earphones with which one is to work, after the
electroacoustical transfer function A.sub.K (f) thereof has been
plotted, will be connected to the compensating network at
connection points B, and B' as shown in FIG. 8. Self-evidently,
more than one pair of earphones can be connected to the outputs B,
B' if the number of pairs of earphones k is greater than one.
FIG. 9 depicts a third embodiment, similar to the two just
discussed, but intended to impart to a pair of earphones the
sound-reproducing characteristics of a set of four loudspeakers
disposed symmetrically with respect to the head of a listener.
Accordingly, n = 4. The analysis of this circuit will be
self-evident from the description of the two previous embodiments,
except that two additional summing circuits S.sub.3 and S.sub.4 are
provided, in order to take into account the fact that each ear
receives signals from all four of the loudspeakers.
The determination of the transfer function A.sub.M (f) of the
loudspeaker whose sound-reproducing characteristics are to be
simulated, and likewise the determination of the transfer function
A.sub.K (f) of the earphones to be used in the simulation, can be
achieved by employing a specially designed microphone probe SM.
This probe is depicted in FIG. 10. It is comprised of a probe tube
so configurated that when inserted into the ear of a test listener
the open end of the probe tube will be located 4 mm behind the
entrance into the lateral cartilaginous ear canal (as seen in the
direction of the eardrum) in the reference plane BE, and it will
detect the pressure signals p.sub.BE arriving at that location from
the loudspeaker or from the earphones. The special form of the
probe tube guarantees that p.sub.BE can be measured even when the
earphones are in place on the head of the listener.
FIG. 11 depicts schematically the head of the test listener VP (as
seen from above), the outer ears OM of the listener, the ear canal
GG which terminates in the acoustical impedance Z.sub.Tr (f) of the
eardrum Tr, and the selected reference plane BE. The earphones are
designated K, the loudspeaker designated L, the center of the
listener's head M, the input signal to the loudspeaker designated
U.sub.1. Also indicated are a number of transfer functions. These
are as follows: ##EQU1## and ##EQU2## The above two transfer
functions are of interest with respect to the determination of the
effective transfer function for the loudspeaker L. Also indicated
are ##EQU3## and ##EQU4## The above two transfer functions are of
interest in determining the effective transfer functions for the
earphones. Also indicated is
The above transfer function is associated with the short length of
the ear canal extending from the selected reference plane BE at
which the pressure measurement is actually performed to the eardrum
Tr itself. Given the impedance Z.sub.Tr (f) of the eardrum, the ear
canal transfer function A.sub.TrBE (f) can readily be determined
empirically. Clearly, the advantage of separately computing the ear
canal transfer function is that this procedure, which involves an
actual determination of the pressure variations at the eardrum
itself, is a sensitive and potentially dangerous one. By separately
determining the transfer function A.sub.TrBE (f), the pressure in
the ear canal need only be determined at the reference plane BE, at
a distance of 4 mm from the ear canal entrance, avoiding the need
to contact or extremely closely approach the eardrum. When the ear
canal transfer function is computed, by empirical testing, it can
be thereafter used in computations involving a variety of different
loudspeaker and earphone transfer functions. It should be noted
that the separate determination of the ear canal transfer function
A.sub.TrBE is not absolutely necessary. It would be possible to
insert the probe so deeply into the ear as to be spaced the
smallest possible distance from the eardrum itself. Evidently,
however that would be a less convenient and much more delicate
procedure.
With these transfer functions computed, the transfer functions
actually of interest can be easily computed. The loudspeaker
transfer function A.sub.M (f) will evidently be
The earphones transfer function A.sub.K (f) will evidently be
The frequency dependence of the magnitude of the transfer function
A.sub.BEM (f) and of the transfer function A.sub.BEK (f) can be
determined, for example, by employing an attenuation measurement
unit such as depicted in FIG. 12. The probe SM is inserted into the
ear canal, both for the loudspeaker test and the earphone test. A
conventional attenuation recorder 100, 101 is employed to determine
the shape of the curve of the magnitude of the transfer function
versus frequency. The generator 100 generates a fixed-amplitude
waveform, the frequency of which rises from zero linearly with
time. This voltage is applied to the input of either the earphone
set or to the input of he loudspeaker L, depending upon which
transfer function is to be determined. The pressure-responsive
microphone SM responds to the pressure variations corresponding to
the generated audio signals, and applies a corresponding electrical
signal to the input of an equalizing amplifier 102 which flattens
the response curve of SM. The recorder device 100, 101 is provided
with a chartering device 101 comprised of a roll of graph paper
which is advanced in synchronism with the linear rise of frequency
of the output voltage of the voltage generator 100. The device 101
includes a non-illustrated moving scribe whose position varies in
dependence upon the output signal of amplifier 102. The resulting
curve inscribed upon the chart is a graph of the
frequency-dependence of the magnitude of the measured transfer
function A.sub.K (f) or A.sub.M (f). Examples of curves which have
resulted from experiments are shown in FIGS. 13 and 14.
FIG. 13 depicts in broken lines the frequency variation of the
magnitude of A.sub.BEM (f), the meaning of this transfer function
having already been explained. The loudspeaker in question was
spaced three meters from the center of the listener's head, and
happened to be of the type marketed under the designation ISOPHON
KSB 12/8. The experiment was performed in a non-reverberating
acoustical environment. The actual curve of interest is shown in
solid lines and represents the frequency dependence of the
magnitude of the transfer function A.sub.M (f), defined above. The
equation permitting derivation of the solid-line curve from the
broken-line curve has already been given.
FIG. 14 is similar to FIG. 13 but represents the test results when
the characteristics of the earphone set were determined. The
broken-line curve BE represents the magnitude of the transfer
function A.sub.BEK (f), and the solid-lind curve designated Tr
represents the magnitude of the transfer function A.sub.K (f). The
earphones employed for the test happened to be of the type marketed
under the designation BEYER DT 48.
As will be understood by persons skilled in the art, the transfer
functions in equation will exhibit frequency dependence not only
with respect to magnitude but also with respect to phase. It is
accordingly necessary to determine the frequency dependence of the
phase shifts associated with the transfer functions A.sub.M (f) and
A.sub.K (f).
However, it is not necessary to measure the phase shifts
.THETA..sub.M (f) and .THETA..sub.K (f) directly. In particular, it
is considered advantageous to determine the phase shift indirectly
by instead measuring the group delay time. ##EQU5## and ##EQU6##
Inasmuch as ##EQU7## .THETA..sub.M (f) and .THETA..sub.K (f) can be
calculated, if for a particular reference frequency f.sub.o one
measures the phase angles .THETA..sub.M (fo) and .THETA..sub.K
(f.sub.o) and then performs frequency-dependency measurements of
.tau..sub.gM (f) and .tau..sub.gK (f).
The determination of .tau..sub.gM (f) and of .tau..sub.gK (f) is
per se conventional, and can, by way of example, be performed with
the arrangement depicted in FIG. 15 (the measurement technique in
question being known as the Nyquist-Brand technique). The equations
are as follows: ##EQU8## and ##EQU9## After these determinations,
.tau..sub.gM (f) and .tau..sub.gK (f) can be calculated using the
equations therefor given above. The function .tau..sub.gTrBE (f)
associated with the path from reference plane BE to the eardrum can
be determined empirically, and is advantageously determined
separately, for the same reason that the magnitude of the transfer
function associated with the terminal portion of the ear canal is
determined separately, namely, to reduce the number of times that a
probe is brought extremely near to the eardrum.
It is to be noted that instead of employing the equipment shown in
FIG. 15 to determine the frequency dependence of the phase-shifts
associated with the several transfer functions, it is possible to
employ the conventional method of measuring the phase-shift
directly at a plurality of different frequencies and then
interpolating to form a phase-shift versus frequency curve. An
ordinary phase detector can be used for this purpose.
FIG. 16 depicts the frequency dependence of group delay time when
determining the transfer function A.sub.M (f). The curve designated
BE represents the group delay time .tau..sub.gBEM (f) associated
with the transfer function A.sub.BEM (f), whereas curve Tr
represents the group delay time .tau..sub.gM (f) associated with
the transfer function A.sub.M (f).
The curves depicted in FIG. 17 correspond to those depicted in FIG.
16, except are taken with respect to the earphones, instead of the
loudspeaker.
It is to be noted that the specific curves depicted represent
averages of the results of tests employing twelve different
listeners.
FIG. 18, finally, depicts a circuit designed to have a transfer
function [A.sub.M (f)]/[A.sub.K (f)] and to have the group delay
time .tau..sub.g [A.sub.M (f)/A.sub.K (f)] = .tau..sub.gM (f) -
.tau..sub.gK (f) as nearly as possible. The average delay time
difference amounts to about 9 milliseconds, inasmuch as no attempt
was made to take into account the time required for the sound to
travel the 3 meters from the loudspeaker to the listener's eardrum,
because such distance and time delay can be ignored with the
inventive approach.
Without further analysis, the foregoing will so fully reveal the
gist of the present invention that others can by applying current
knowledge readily adapt it for various applications without
omitting features that, from the standpoint of prior art, fairly
constitute essential characteristics of the generic or specific
aspects of this invention and, therefore, such modifications and
adaptations should and are intended to be comprehended within the
meaning and range of equivalence of the following claims.
It will be understood that each of the elements described above, or
two or more together, may also find a useful application in other
types of circuits and constructions different from the types
described above.
While the invention has been illustrated and described as embodied
in a method and apparatus for imparting to earphones some of the
sound-reproducing characteristics of loudspeakers, it is not to be
considered limited to the details shown, since various
modifications and structural and circuit changes could be made
without departing in any way from the spirit of the invention.
* * * * *