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JP2013243465

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DESCRIPTION JP2013243465
Abstract: The present invention provides a sound field similarity estimation apparatus that
enables evaluation of a sound field including time variation. An original sound field collected
signal cross-correlation variation calculation unit is a discrete value sound signal obtained by
discretely converting two systems of sound signals collected by a microphone pair consisting of
two microphones closely arranged in the original sound field. The cross-correlation between the
original sound field sound pickup signals in which the time difference is provided between the
discrete value sound signals in the range of the signal section length N with the predetermined
time t as a reference is calculated. The reproduced sound field collected signal cross correlation
fluctuation calculation unit calculates the cross correlation between the reproduced sound field
collected signals in the same manner as the original sound field collected signal cross correlation
fluctuation calculating unit. The similarity calculator calculates the original sound field collected
signal cross correlation and the reproduced sound field collected signal cross correlation
obtained from the collected sound signals of the respective microphone pairs corresponding to
the positional relationship of the original sound field and the reproduced sound field to the
respective sound sources. Calculate the normalized cross-correlation of as the similarity of the
sound field. [Selected figure] Figure 1
Sound field similarity estimation apparatus and method and program thereof
[0001]
The present invention relates to a sound field similarity estimation apparatus for estimating the
similarity between a sound collection field and a reproduction sound field, and a method and
program therefor.
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1
[0002]
In recent years, the audio reproduction environment has been expanded from 2-channel stereo to
5.1-channel reproduction, and research and development of 22.2-channel reproduction is also in
progress.
The sound collection for that purpose is also expanded from 2-channel stereo sound collection to
5.1 channel surround sound collection, and various microphone arrangement methods are
considered.
[0003]
As one method of multi-channel surround sound collection reproduction, for example, NonPatent Document 1 discloses an idea of aiming to reproduce a reproduction sound field as close
as possible to the sound collection sound field. The idea is to control the reproduction sound field
so that the relative relationship between the observation points of the original sound field is
maintained between the observation points of the reproduction sound field, using the covariance
matrix between the observation points in the sound field as the similarity. It is a thing.
[0004]
The method arranges a plurality of measurement microphones in the original sound field of the
sound collection object and the reproduction sound field, and expresses the covariance between
the i-th observation point and the j-th observation point for the sound field of the sound
collection object Calculate with (1).
[0005]
[0006]
Similarly, for the reproduced sound field, the covariance between the i-th observation point and
the j-th observation point is calculated by equation (2).
[0007]
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[0008]
Then, reproduction control is performed so that the difference between Cx (i, j) and Cy (i, j)
becomes small.
[0009]
Takahashi, Ando, "Sound field reproduction based on the sound field covariance matrix and its
application" Speech technique IECE Technical report EA 2007-121, pp. 55-60.
[0010]
In the conventional sound field similarity estimation method, the covariance matrix of the
original sound field and the reproduced sound field is regarded as a time-invariant feature of the
sound field.
That is, the stationarity is assumed for the signals collected at the observation points of the
original sound field and the reproduction sound field.
[0011]
However, in an actual sound field, it can not be assumed that the sound pickup signal at the
observation point is always stationary.
In the actual sound field, the sound itself is not completely steady.
Furthermore, it is because the arrival time difference of the sound wave front, reflection by a wall
surface, etc. and reverberation are included.
[0012]
Therefore, in the conventional sound field similarity estimation method, there has been a
problem that it is not possible to evaluate in consideration of the influence of those time
variations.
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3
[0013]
The present invention has been made in view of such problems, and provides a sound field
similarity estimation device that provides a new evaluation index of a sound field including time
variations of reflected sound and reverberation sound, and a method and program therefor The
purpose is to
[0014]
The sound field similarity estimation apparatus of the present invention comprises an original
sound field sound collection signal cross correlation variation calculation unit, a reproduced
sound field sound collection signal cross correlation variation calculation unit, and a similarity
calculation unit.
The original sound field collected signal cross-correlation variation calculation unit is a discrete
value obtained by discretely converting two systems of sound signals collected by a microphone
pair consisting of two microphones closely arranged to a collected sound field (original sound
field) Based on the acoustic signal as input, the cross correlation between the original sound field
sound pickup signals in which the time difference is provided between the discrete value acoustic
signals within the range of the signal section length N with reference to the predetermined time t
is calculated.
The reproduction sound field collection signal cross correlation fluctuation calculation unit
receives discrete value sound signals obtained by discretely converting two systems of sound
signals collected from a reproduction sound field by a microphone pair consisting of two
microphones closely arranged. In the range of the signal section length N with reference to the
predetermined time t, the cross correlation between the reproduced sound field sound pickup
signals in which the time difference is provided between the discrete value sound signals is
calculated.
The similarity calculator calculates cross-correlation between the original sound-field collected
signal and the reproduction sound-field collected signal, which are obtained from the collected
sound signals of the respective microphone pairs corresponding to the positional relationship of
the original sound field and the reproduced sound field to the respective sound sources. Calculate
normalized cross-correlation with correlation as sound field similarity.
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[0015]
Since the sound field similarity estimation apparatus of the present invention finds the time
variation of the correlation function between collected signals and estimates the similarity of the
sound field between the original sound field and the reproduced sound field, it is impossible with
the conventional method. It enables the evaluation of the sound field including the time
fluctuation that has been made.
[0016]
The figure which shows the function structural example of the sound field similarity estimation
apparatus 100 of this invention.
FIG. 2 is a diagram showing an operation flow of the sound field similarity degree estimation
apparatus 100.
The figure explaining each microphone pair to which the positional relationship with respect to
each sound source of an original sound field and a reproduction ¦ regeneration sound field
respond ¦ corresponds.
The figure which shows the function structural example of the sound field similarity estimation
apparatus 200 of this invention. The figure which shows the function structural example of the
sound field similarity estimation apparatus 300 of this invention. FIG. 7 is a diagram showing an
operation flow of the sound field similarity degree estimation apparatus 300. The figure which
shows the experimental condition of evaluation experiment. The figure which shows the contour
map of an original sound field. The figure which shows the contour map of the reproduction
sound field by reproduction system (A). The figure which shows the contour-line map of the
reproduction ¦ regeneration sound field by reproduction ¦ regeneration system (B). The figure
which shows the example of arrangement ¦ positioning of a sound source in an evaluation
experiment, a microphone pair, a speaker, and an impulse response. The figure which shows the
example which comprised the microphone pair by three microphones.
[0017]
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5
Hereinafter, embodiments of the present invention will be described with reference to the
drawings. The same reference numerals are given to the same components in the drawings, and
the description will not be repeated.
[0018]
FIG. 1 shows a functional configuration example of a sound field similarity degree estimation
apparatus 100 of the present invention. The sound field similarity estimation apparatus 100
includes an original sound field sound collection signal cross correlation variation calculation
unit 301, a reproduced sound field sound collection signal cross correlation variation calculation
unit 401, and a similarity degree calculation unit 501. The sound field similarity estimation
apparatus 100 is realized by, for example, a predetermined program being read into a computer
including a ROM, a RAM, a CPU and the like, and the CPU executing the program.
[0019]
Original sound field collected signal cross-correlation variation calculation unit 301 discretes two
systems of acoustic signals collected by a microphone pair consisting of two microphones closely
arranged in a collected sound field (hereinafter referred to as the original sound field) An original
sound in which a time difference k is provided between discrete value acoustic signals within a
range of signal section length N based on a predetermined time t with the digitized discrete value
acoustic signals xi + (n) and xi- (n) as inputs The cross correlation between the field collection
signals is calculated (equation (3)) (step S30). In addition, the description of the A / D conversion
means to discretely convert the acoustic signal is omitted. Moreover, the space ¦ interval of two
microphones which comprise a microphone pair is about 1 cm-about 20 cm, for example.
[0020]
[0021]
Equation (3) calculates the cross correlation when the time difference k is provided between the
collected signals of the microphone pair xi +, xi−.
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Here, i is a microphone pair number, and k is a time difference (time lag) including minus. The
signal section length N is, for example, in the range of 1 to 7 ms. Assuming that the sampling
frequency to be discretized is, for example, 48 kHz, the number of samples n is 48 to 336.
[0022]
Reproduction sound field sound collection signal cross correlation fluctuation calculation unit
401 is a discrete value sound signal yi + obtained by discretely converting two sound signals
collected from a reproduction sound field by a microphone pair consisting of two closely
arranged microphones. (N), yi-(n) are input, and the reproduction sound field sound collection
signals having the time difference k between the discrete value acoustic signals in the range of
the signal section length N based on the predetermined time t The correlation is calculated
(equation (4)) (step S40).
[0023]
[0024]
i, k, t, N and n are the same as the above-mentioned formula (3).
[0025]
The similarity calculation unit 501 calculates the cross correlation between the original sound
field sound pickup signal and the reproduction sound field sound pickup signal obtained from
the sound pickup signals of the respective microphone pairs corresponding to the positional
relationship of the original sound field and the reproduction sound field to the respective sound
sources. The normalized cross correlation with the cross correlation is calculated as the similarity
s (i) of the sound field (equation (5)).
[0026]
[0027]
Here, K is the maximum time difference k, and is set to, for example, about N / 4 to N / 5.
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T is the upper limit of time t.
T is set, for example, in the range of 30 to 40 ms in consideration of the initial reflection wave of
the room.
Also, i is the number of the microphone pair, and may be plural.
In this embodiment, the sound field similarity s (i) obtained from one microphone pair is treated
as the similarity s of the entire sound field as it is.
When there are a plurality of microphone pairs as indicated by the broken line microphone pairs
x 2 and y 2, the total similarity calculation unit 60 calculates the statistic from the plurality of
similarities s (i) calculated between the microphone pairs corresponding in positional relation to
the sound source. To be output as the sound field similarity s.
[0028]
The respective microphone pairs corresponding to the positional relationship of the original
sound field and the reproduced sound field with respect to the respective sound sources will be
described with reference to FIG. The microphones M1 and M2 in the original sound field pick up
the acoustic signal emitted from the sound source 0. The speakers S1 and S2 in the reproduction
sound field convert the signals collected by the microphones M1 and M2 into acoustic signals,
and reproduce the sound source 0 as the reproduction sound source 0 '. Notations such as
amplification means provided between the microphones M1 and M2 and the speakers S1 and S2
are omitted.
[0029]
Here, the microphone pair of the reproduction sound field corresponding to the microphone pair
x1 in the original sound field is y1. The microphone pair of the reproduction sound field
corresponding to the microphone pair x2 is y2. In this way, the microphones whose positional
relationship is the same as that of the sound source 0 or the reproduced sound source 0 'are set
as the corresponding microphone pairs. The same positional relationship does not have to be
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strictly the same at the coordinate level.
[0030]
As shown in FIG. 3, when the number of microphone pairs is two, the normalized crosscorrelations of the cross-correlations cx (1, k, t) and cy (1, k, t) of the microphone pairs x1 and y1
are similarity calculations The similarity calculation unit 502 calculates the normalized crosscorrelation of the cross-correlations cx (2, k, t) and cy (2, k, t) of the microphone pairs x 2 and y
2 calculated by the unit 501.
[0031]
Then, the similarity calculated by the similarity calculation unit 501 and the similarity calculation
unit 502 is the similarity s of the entire sound field statistically processed by the total similarity
calculation unit 60.
As the statistical processing, simple average, weighted average by signal power, median (median)
or the like may be used. The number of microphone pairs may be two or more. In that case, a
similarity calculation unit 50 * corresponding to the number of microphone pairs is provided.
[0032]
As described above, according to the sound field similarity degree estimation apparatus 100, it
becomes possible to evaluate the sound fields with a new degree of similarity in consideration of
the time variation of the correlation function between the collected sound signals. It is considered
that the correlation function also changes due to the influence of the frequency characteristics of
the speaker reproducing the sound field in the reproduction sound field and the frequency
characteristics of the room. Thus, the sound field similarity degree estimation apparatus 200 will
be described next, in which the similarity degree is determined for each frequency band.
[0033]
FIG. 4 shows a functional configuration example of the sound field similarity degree estimation
apparatus 200. The sound field similarity estimation apparatus 200 includes a first original
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sound field band dividing unit 70, a second original sound field band dividing unit 71, a first
reproduced sound field band dividing unit 80, and a second Unlike the reproduction sound field
band division 81, the band divided by the original sound field sound collection signal cross
correlation fluctuation calculation unit 301 to 30 W and the reproduction sound field sound
pickup signal cross correlation fluctuation calculation unit 401 to 40 W The difference is that the
number corresponding to the number (W) of the number is provided.
[0034]
The first original sound field band dividing unit 70 is a discrete-value sound signal x1 + (n of
discrete sound signals obtained by collecting two sound signals collected by the microphone pair
x1 consisting of two closely arranged microphones in the original sound field. The frequency
band of) is divided.
[0035]
The second original sound field band dividing unit 71 band divides the frequency band of the
discrete value acoustic signal x1- (n) obtained by discretely converting the other of the two
systems of acoustic signals.
The first original sound field band dividing unit 70 and the second original sound field band
dividing unit 71 have W (for example, 4 to 20) frequency ranges of 100 Hz to 2 KHz of discrete
value acoustic signals xi + (n) and xi− (n). Split the bandwidth into In this band, it is considered
that a person perceives the direction of arrival of sound (phase difference between both ears).
The bandwidth after the band division may be in an octave interval or in an equal interval.
[0036]
The original sound field collected signal cross-correlation variation calculation units 301 to 30 W
receive discrete value acoustic signals of the same frequency band output from the first original
sound field band dividing part 70 and the second original sound field band dividing part 71 as a
predetermined time t. Calculate the cross correlation between the original sound field sound
pickup signal in which the time difference k is provided between the discrete value acoustic
signals in the range of the signal section length N with reference to (Equation 6) Do.
[0037]
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[0038]
Equation (6) differs from equation (3) only in that it is calculated for each band number f.
[0039]
The first reproduced sound field band dividing unit 80 is a discrete one of two-system acoustic
signals collected by a microphone pair y1 consisting of two microphones closely arranged and
arranged as a reproduced sound field (original sound field). The frequency band of the value
acoustic signal y1 + (n) is divided into bands.
[0040]
The second reproduced sound field band dividing unit 81 band divides the frequency band of the
discrete value acoustic signal y1- (n) obtained by discretely converting the other of the two
systems of acoustic signals.
The frequency band to be divided on the reproduction sound field side and the number of
divisions are the same as on the original sound field side.
[0041]
The reproduction sound field sound collection signal cross correlation fluctuation calculation
units 401 to 40 W receive discrete value acoustic signals of the same frequency band output
from the first reproduction sound field band division unit 80 and the second reproduction sound
field band division unit 81 as input. Calculate the cross-correlation cy (·) between the reproduced
sound field sound collection signals in which the time difference k is provided between the
discrete value acoustic signals in the range of the signal section length N based on the
predetermined time t for each band number f ( Formula (7) is carried out.
[0042]
[0043]
Equation (7) differs from equation (4) only in that it is calculated for each band number f.
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[0044]
Similarity calculation units 501 to 50 W are a cross-correlation and reproduction of the original
sound field sound collection signal of the same frequency band obtained from the sound
collection signals of the respective microphone pairs corresponding to the positional relationship
of the original sound field and the reproduction sound field to the respective sound sources. The
normalized cross-correlation with the cross-correlation of the sound-field collected signal is
calculated as the similarity of the sound field (equation (8)).
[0045]
[0046]
Equation (8) differs from equation (5) only in that the similarity s (i, f) is calculated for each band
number f.
[0047]
The total similarity calculation unit 60 calculates the statistic of the similarity of the sound field
output by the similarity calculation units 501 to 50W, and uses it as the sound field similarity s.
As the statistic, for example, a simple average, a weighted average by signal power, a median or
the like as shown in the equation (9) is used.
[0048]
In the example shown in FIG. 4, the statistical value of the similarity s (1,1) to s (1, W)
determined from one pair of microphone pairs x1 and y1 is determined by the total similarity
calculation unit 60. ing.
When the number of microphone pairs is more than one, the total similarity calculation unit 60
obtains statistics for all the microphone pairs as expressed by the following equation.
[0049]
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[0050]
Here, I is the number of microphone pairs, and W is the number of band divisions.
[0051]
According to the sound field similarity estimation apparatus 200, for example, the sound field
similarity in consideration of the influence of the frequency characteristic of the speaker used for
reproducing the sound source of the original sound field in the reproduced sound field and the
frequency characteristic of the reverberation characteristic of the room It is possible to
determine the degree.
[0052]
Depending on the positional relationship between the sound source of the original sound field
and the sound source of the reproduction sound field and the microphone pair, the sound signal
of the present sound field does not correspond temporally to the sound signal of the
reproduction sound field as it is.
That is, there may be a time shift dt between the original sound field and the reproduction sound
field.
Therefore, a sound field similarity estimation apparatus 300 will be described with reference to
FIG. 5 in which the time shift dt existing between the original sound field pickup signal and the
reproduced sound field pickup signal is obtained in advance.
The operation flow is shown in FIG.
[0053]
The sound field similarity estimation apparatus 300 further adds, to the sound field similarity
estimation apparatus 100, the pre-reproduction sound field collected signal cross-correlation
variation calculation unit 380, the prior similarity calculation unit 350, and the time shift setting
unit 390. And in that it is different.
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[0054]
The pre-reproduction sound field sound collection signal cross-correlation variation calculation
unit 380 is a discrete value obtained by discretely converting the sound signal of the
reproduction sound field from the two systems of sound signals collected by the microphone pair
consisting of two microphones closely arranged. Value sound signal is input, time shift dt in the
above-mentioned reproduction sound field is added, reproduction sound field collection which
provides time difference k between the above-mentioned discrete value sound signal in the range
of signal section length N on the basis of the above time t The cross correlation c ′ y (·) of the
pre-reproduction sound field collected signal between the sound signals is calculated (equation
(10)) (step S380).
[0055]
[0056]
The prior similarity calculation unit 350 receives the cross correlation cx (·) of the original sound
field sound pickup signal and the cross correlation c ′ y (·) of the pre-reproduced sound field
sound pickup signal as input and outputs the original sound field and the reproduced sound field.
Normalized cross-correlation between original sound field collected signal cross correlation and
reproduced sound field collected signal cross correlation obtained from collected sound signals
of respective microphone pairs corresponding in positional relationship to respective sound
sources Prior sound field similarity Calculation is carried out as s' (.) (equation (11)) (step S350).
[0057]
[0058]
The time shift setting unit 390 weights the prior sound field similarity s ′ (·) with the signal
power of the original sound field, and uses the sum as the evaluation function (equation (12)) to
maximize the evaluation function. Ask for
The time shift dt that maximizes the evaluation function is obtained by repeated calculation (loop
from step S390 to S380).
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[0059]
[0060]
The similarity calculation unit 501 ′ calculates the normalized cross correlation between the
reproduced sound field sound pickup signal cross correlation to which the time shift dt
maximizing the evaluation function Q (dt) and the above original sound field sound pickup signal
cross correlation Calculated as field similarity.
[0061]
The sound field similarity estimation apparatus 300 has the effect of being able to eliminate the
influence of the difference between the speakers in the original sound field and the reproduced
sound field, the reflectance of the sound in the room, and the like.
Although the example of adding the function of obtaining the time shift dt in advance to the
sound field similarity estimation apparatus 100 which does not divide the acoustic signal into the
frequency band has been described, combining this function with the sound field similarity
estimation apparatus 200 Is also possible.
In that case, the evaluation function Q (dt) can be expressed by the following equation.
[0062]
[0063]
[Evaluation Experiment] An evaluation experiment was conducted in order to confirm the effect
of the new index (similarity) according to the present invention.
[0064]
The experimental conditions of the evaluation experiment are illustrated in FIG.
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An evaluation experiment was performed to reproduce the reproduced sound source 0 'by the
reproduction method (A) with two microphones M1 and M2 and two speakers S1 and S2 and the
reproduction method (B) with three microphones M1 to M3 and three speakers S1 to S3. .
FIG. 8 shows a contour map of the original sound field collected signal cross correlation at the
observation point b.
FIG. 9 shows a contour map of the reproduced sound field collected signal cross correlation
(equation (4)) at the observation point b according to the reproduction method (A).
FIG. 10 shows a contour map of the reproduced sound field collected signal cross-correlation at
the observation point b by the reproduction method (B).
[0065]
The contour map is a plot of values obtained by taking the ratio to the maximum value among
the absolute values of all the cross-correlation functions calculated at each observation point.
The horizontal axis of the contour map is time t, and the vertical axis is a number corresponding
to the time difference k.
b n corresponds to the band number f shown in equations (3) and (4).
Table 1 shows the relationship between the band number bn and the frequency.
[0066]
At bn = 4, 5, 6, and 7 in FIG. 8, there is a correlation peak at the time difference k = 20 on the
vertical axis.
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This peak corresponds to the position of the sound source 0.
In the reproduction method (A) (two-speaker reproduction) shown in FIG. 9, the peak of the
correlation of the contour map appears around the time difference k = 30 because the effect of
the reproduction signal of the speaker S2 in front of the observation point b is large.
That is, it represents that the position of the reproduced sound source 0 ′ is being reproduced
in the reproduction sound field as if it is sounding at a position different from the position of the
sound source 0.
[0067]
In the reproduction method (B) (three-speaker reproduction) shown in FIG. 10, it can be seen that
the correlation peak at bn = 4 to 6 is reproduced at the same place as the original sound field as
the time difference k = 20.
[0068]
The result of having calculated ¦ required the sound field similarity degree for every zone ¦ band
in the observation point b for every reproduction ¦ regeneration system in Table 2 is shown.
[0069]
As shown in Table 2, the sound field similarity is higher in the reproduction method (B) with
three microphones M1 to M3 and three speakers S1 to S3.
The average value of the sound field similarity in all bands and all observation points was as
follows: the reproduction method (A) was 0.5562, and the reproduction method (B) was 0.6895.
[0070]
As described above, according to the new index for estimating the similarity of the sound field
between the original sound field and the reproduced sound field by obtaining the time variation
of the correlation function between the collected sound signals of the present invention, the
conventional covariance matrix is used. It becomes possible to evaluate the sound field similarity
with respect to the time t which was impossible with the method of evaluating the sound field.
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[0071]
Although the above embodiment has been described using digital sound recording of the original
sound field and the reproduced sound field as it is, it is also possible to estimate the sound field
similarity based on the impulse response.
[0072]
FIG. 11 shows an example of the impulse response.
Consider an example in which an original sound field is picked up by three channels (M1 to M3)
and reproduced by three channels (S1 to S3) in a reproduction sound field.
P sources (P = 1), 3 microphones for sound signal collection (M = 3), 1 microphone pair, 1 for the
original sound field x1, x2 and 2 for the reproduction sound field y1, y2 Place I = 2).
[0073]
Here, the impulse response (gP, M) from the sound source 0 to the reproduction signal collecting
microphones M1 to M3 is g0, 1, g0, 2, g0, 3 and the i-th sound field similarity measurement from
the sound source P The impulse responses to the microphone pairs x1 and x2 are ei + and ei-.
Then, assuming that the impulse response from the speaker S1 of the reproduction sound field to
the microphone pair is h1,1 +, h1,1-, the relationship of the equations shown below holds.
[0074]
[0075]
Here, (x) means convolution.
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The sound field similarity estimation apparatus of the present invention can also estimate the
similarity between the original sound field and the reproduction sound field by using the input
signals shown in equations (14) to (17).
[0076]
As described above, the sound field similarity estimation apparatus 100 200 300 of the present
invention provides a new index for evaluating the similarity of the sound field between the
original sound field and the reproduced sound field.
The new indicator allows the evaluation of sound fields, including time variations.
[0077]
Note that when the microphone pair is arranged in the horizontal direction, characteristics in the
horizontal plane (sound field similarity) can be extracted, and when arranged in the vertical
direction, the characteristics in the vertical plane can be extracted.
In order to make it easy to switch the extraction direction of such characteristics, for example, as
shown in FIG. 12, a microphone pair is configured by three microphones, and two pairs are
selected from among the three microphones. good.
[0078]
Also, although the sound field similarity estimation devices 200 and 300 have not been
described in terms of being able to be configured by computers, similar to the sound field
similarity estimation device 100, for example, a computer configured with ROM, RAM, CPU, etc.
A predetermined program may be read and realized by the CPU executing the program.
[0079]
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When the processing means in the above apparatus is realized by a computer, the processing
content of the function that each apparatus should have is described by a program.
Then, by executing this program on a computer, the processing means in each device is realized
on the computer.
[0080]
The program describing the processing content can be recorded in a computer readable
recording medium.
As the computer readable recording medium, any medium such as a magnetic recording device,
an optical disc, a magneto-optical recording medium, a semiconductor memory, etc. may be used.
Specifically, for example, as a magnetic recording device, a hard disk drive, a flexible disk, a
magnetic tape or the like as an optical disk, a DVD (Digital Versatile Disc), a DVD-RAM (Random
Access Memory), a CD-ROM (Compact Disc Read Only) Memory), CD-R (Recordable) / RW
(Rewritable), etc., magneto-optical recording medium, MO (Magneto Optical disc), etc.,
semiconductor memory EEP-ROM (Electronically Erasable and Programmable Only Read
Memory) etc. It can be used.
[0081]
Further, distribution of this program is carried out, for example, by selling, transferring, lending,
etc. a portable recording medium such as a DVD, CD-ROM or the like in which the program is
recorded. Furthermore, the program may be stored in a storage device of a server computer, and
the program may be distributed by transferring the program from the server computer to
another computer via a network.
[0082]
Further, each means may be configured by executing a predetermined program on a computer,
or at least a part of the processing content may be realized as hardware.
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