Audio control using auditory event detection
11711060 · 2023-07-25
Assignee
Inventors
Cpc classification
H04R2430/03
ELECTRICITY
H03G3/3005
ELECTRICITY
International classification
H03G9/00
ELECTRICITY
Abstract
In some embodiments, a method for processing an audio signal in an audio processing apparatus is disclosed. The method includes receiving an audio signal and a parameter, the parameter indicating a location of an auditory event boundary. An audio portion between consecutive auditory event boundaries constitutes an auditory event. The method further includes applying a modification to the audio signal based in part on an occurrence of the auditory event. The parameter may be generated by monitoring a characteristic of the audio signal and identifying a change in the characteristic.
Claims
1. A method for processing an audio signal in an audio processing apparatus, the method comprising: receiving the audio signal, the audio signal comprising at least two channels of audio content; dividing the audio signal into at least a subband signal, wherein the subband signal comprises at least one subband sample; deriving a power measure of the audio signal; smoothing the power measure to generate a smoothed power measure of the audio signal; detecting a location of an auditory event boundary by monitoring the smoothed power measure, wherein an audio portion between consecutive auditory event boundaries constitutes an auditory event, wherein the detecting further includes applying a threshold to the smoothed power measure to detect the location of the auditory event boundary; generating a gain vector based on the location of the auditory event boundary; and applying the gain vector to the audio signal; wherein the audio processing apparatus is implemented at least in part with hardware.
2. The method of claim 1, wherein the characteristic further includes loudness.
3. The method of claim 1, wherein the characteristic further includes perceived loudness.
4. The method of claim 1, wherein the characteristic further includes phase.
5. The method of claim 1, wherein the characteristic further includes a sudden change in signal power.
6. A non-transitory computer-readable storage medium encoded with a computer program for causing a computer to perform the method of claim 1.
7. An audio processing apparatus, the apparatus comprising: an input interface for receiving the audio signal, the audio signal comprising at least two channels of audio content; a filter bank for dividing the audio signal into a plurality of subband signals, each of the plurality of subband signals including at least one subband sample; and a processor that: derives a characteristic of the audio signal, wherein the characteristic is a power measure of the audio signal; smooths the power measure to generate a smoothed power measure of the audio signal; detects a location of an auditory event boundary by monitoring the smoothed power measure, wherein an audio portion between consecutive auditory event boundaries constitutes an auditory event, wherein the detecting further includes applying a threshold to the smoothed power measure to detect the location of the auditory event boundary; generates a gain vector based on the location of the auditory event boundary; and applies the gain vector to the audio signal; wherein the audio processing apparatus includes at least some hardware.
Description
DESCRIPTION OF THE DRAWINGS
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BEST MODE FOR CARRYING OUT THE INVENTION
Auditory Scene Analysis (Original, Non-Loudness Domain Method)
(12) In accordance with an embodiment of one aspect of the present invention, auditory scene analysis may be composed of four general processing steps as shown in a portion of
(13) The first step, illustrated conceptually in
(14) Following the identification of the event boundaries, key characteristics of the auditory event are identified, as shown in step 1-4.
(15) Either overlapping or non-overlapping segments of the audio may be windowed and used to compute spectral profiles of the input audio. Overlap results in finer resolution as to the location of auditory events and, also, makes it less likely to miss an event, such as a short transient. However, overlap also increases computational complexity. Thus, overlap may be omitted.
(16) The following variables may be used to compute the spectral profile of the input block: M=number of windowed samples in a block used to compute spectral profile P=number of samples of spectral computation overlap
(17) In general, any integer numbers may be used for the variables above. However, the implementation will be more efficient if M is set equal to a power of 2 so that standard FFTs may be used for the spectral profile calculations. In a practical embodiment of the auditory scene analysis process, the parameters listed may be set to: M=512 samples (or 11.6 ms at 44.1 kHz) P=0 samples (no overlap)
(18) The above-listed values were determined experimentally and were found generally to identify with sufficient accuracy the location and duration of auditory events. However, setting the value of P to 256 samples (50% overlap) rather than zero samples (no overlap) has been found to be useful in identifying some hard-to-find events. While many different types of windows may be used to minimize spectral artifacts due to windowing, the window used in the spectral profile calculations is an M-point Hanning, Kaiser-Bessel or other suitable, preferably non-rectangular, window. The above-indicated values and a Hanning window type were selected after extensive experimental analysis as they have shown to provide excellent results across a wide range of audio material. Non-rectangular windowing is preferred for the processing of audio signals with predominantly low frequency content. Rectangular windowing produces spectral artifacts that may cause incorrect detection of events. Unlike certain encoder/decoder (codec) applications where an overall overlap/add process must provide a constant level, such a constraint does not apply here and the window may be chosen for characteristics such as its time/frequency resolution and stop-band rejection.
(19) In step 1-1 (
(20) Step 1-2 calculates a measure of the difference between the spectra of adjacent blocks. For each block, each of the M (log) spectral coefficients from step 1-1 is subtracted from the corresponding coefficient for the preceding block, and the magnitude of the difference calculated (the sign is ignored). These M differences are then summed to one number. This difference measure may also be expressed as an average difference per spectral coefficient by dividing the difference measure by the number of spectral coefficients used in the sum (in this case M coefficients).
(21) Step 1-3 identifies the locations of auditory event boundaries by applying a threshold to the array of difference measures from step 1-2 with a threshold value. When a difference measure exceeds a threshold, the change in spectrum is deemed sufficient to signal a new event and the block number of the change is recorded as an event boundary. For the values of M and P given above and for log domain values (in step 1-1) expressed in units of dB, the threshold may be set equal to 2500 if the whole magnitude FFT (including the mirrored part) is compared or 1250 if half the FFT is compared (as noted above, the FFT represents negative as well as positive frequencies—for the magnitude of the FFT, one is the mirror image of the other). This value was chosen experimentally and it provides good auditory event boundary detection. This parameter value may be changed to reduce (increase the threshold) or increase (decrease the threshold) the detection of events.
(22) The process of
(23) Alternatives to the arrangement of
(24) The details of this practical embodiment are not critical. Other ways to calculate the spectral content of successive time segments of the audio signal, calculate the differences between successive time segments, and set auditory event boundaries at the respective boundaries between successive time segments when the difference in the spectral profile content between such successive time segments exceeds a threshold may be employed.
Auditory Scene Analysis (New, Loudness Domain Method)
(25) International application under the Patent Cooperation Treaty S.N. PCT/US2005/038579, filed Oct. 25, 2005, published as International Publication Number WO 2006/047600 A1, entitled “Calculating and Adjusting the Perceived Loudness and/or the Perceived Spectral Balance of an Audio Signal” by Alan Jeffrey Seefeldt discloses, among other things, an objective measure of perceived loudness based on a psychoacoustic model. Said application is hereby incorporated by reference in its entirety. As described in said application, from an audio signal, x[n], an excitation signal E[b,t] is computed that approximates the distribution of energy along the basilar membrane of the inner ear at critical band b during time block t. This excitation may be computed from the Short-time Discrete Fourier Transform (STDFT) of the audio signal as follows:
(26)
where X[k,t] represents the STDFT of x[n] at time block t and bin k. Note that in equation 1 t represents time in discrete units of transform blocks as opposed to a continuous measure, such as seconds. T[k] represents the frequency response of a filter simulating the transmission of audio through the outer and middle ear, and C.sub.b[k] represents the frequency response of the basilar membrane at a location corresponding to critical band b.
(27) Using equal loudness contours, such as those depicted in
(28)
where TQ.sub.1kHz is the threshold in quiet at 1 kHz and the constants β and α are chosen to match growth of loudness data as collected from listening experiments. Abstractly, this transformation from excitation to specific loudness may be presented by the function Ψ{ } such that:
N[b,t]=Ψ{E[b,t]}
Finally, the total loudness, L[t], represented in units of sone, is computed by summing the specific loudness across bands:
(29)
(30) The specific loudness N[b,t] is a spectral representation meant to simulate the manner in which a human perceives audio as a function of frequency and time. It captures variations in sensitivity to different frequencies, variations in sensitivity to level, and variations in frequency resolution. As such, it is a spectral representation well matched to the detection of auditory events. Though more computationally complex, comparing the difference of N[b,t] across bands between successive time blocks may in many cases result in more perceptually accurate detection of auditory events in comparison to the direct use of successive FFT spectra described above.
(31) In said patent application, several applications for modifying the audio based on this psychoacoustic loudness model are disclosed. Among these are several dynamics processing algorithms, such as AGC and DRC. These disclosed algorithms may benefit from the use of auditory events to control various associated parameters. Because specific loudness is already computed, it is readily available for the purpose of detecting said events. Details of a preferred embodiment are discussed below.
Audio Dynamics Processing Parameter Control with Auditory Events
(32) Two examples of embodiments of the invention are now presented. The first describes the use of auditory events to control the release time in a digital implementation of a Dynamic Range Controller (DRC) in which the gain control is derived from the Root Mean Square (RMS) power of the signal. The second embodiment describes the use of auditory events to control certain aspects of a more sophisticated combination of AGC and DRC implemented within the context of the psychoacoustic loudness model described above. These two embodiments are meant to serve as examples of the invention only, and it should be understood that the use of auditory events to control parameters of a dynamics processing algorithm is not restricted to the specifics described below.
Dynamic Range Control
(33) The described digital implementation of a DRC segments an audio signal x[n] into windowed, half-overlapping blocks, and for each block a modification gain based on a measure of the signal's local power and a selected compression curve is computed. The gain is smoothed across blocks and then multiplied with each block. The modified blocks are finally overlap-added to generate the modified audio signal y[n].
(34) It should be noted, that while the auditory scene analysis and digital implementation of DRC as described here divides the time-domain audio signal into blocks to perform analysis and processing, the DRC processing need not be performed using block segmentation. For example the auditory scene analysis could be performed using block segmentation and spectral analysis as described above and the resulting auditory event locations and characteristics could be used to provide control information to a digital implementation of a traditional DRC implementation that typically operates on a sample-by-sample basis. Here, however, the same blocking structure used for auditory scene analysis is employed for the DRC to simplify the description of their combination. Proceeding with the description of a block based DRC implementation, the overlapping blocks of the audio signal may be represented as:
x[n,t]=w[n]x[n+tM/2] for 0<n<M−1 (4)
where M is the block length and the hopsize is M/2, w[n] is the window, n is the sample index within the block, and t is the block index (note that here t is used in the same way as with the STDFT in equation 1; it represents time in discrete units of blocks rather than seconds, for example). Ideally, the window w[n] tapers to zero at both ends and sums to unity when half-overlapped with itself; the commonly used sine window meets these criteria, for example.
(35) For each block, one may then compute the RMS power to generate a power measure P[t] in dB per block:
(36)
As mentioned earlier, one could smooth this power measure with a fast attack and slow release prior to processing with a compression curve, but as an alternative the instantaneous power P[t] is processed and the resulting gain is smoothed. This alternate approach has the advantage that a simple compression curve with sharp knee points may be used, but the resulting gains are still smooth as the power travels through the knee-point. Representing a compression curve as shown in
G[t]=F{P[t]} (6)
Assuming that the compression curve applies greater attenuation as signal level increases, the gain will be decreasing when the signal is in “attack mode” and increasing when in “release mode”. Therefore, a smoothed gain G [t] may be computed according to:
where
(37)
and
α.sub.release>>α.sub.attach (7c)
Finally, the smoothed gain
y[n+tM/2]=(10.sup.
Note that because the blocks have been multiplied with a tapered window, as shown in equation 4, the overlap-add synthesis shown above effectively smooths the gains across samples of the processed signal y[n]. Thus, the gain control signal receives smoothing in addition to that in shown in equation 7a. In a more traditional implementation of DRC operating sample-by-sample rather than block-by-block, gain smoothing more sophisticated than the simple one-pole filter shown in equation 7a might be necessary in order to prevent audible distortion in the processed signal. Also, the use of block based processing introduces an inherent delay of M/2 samples into the system, and as long as the decay time associated with α.sub.attack is close to this delay, the signal x[n] does not need to be delayed further before the application of the gains for the purposes of preventing overshoot.
(38)
(39) above −20 dB relative to full scale digital the signal is attenuated with a ratio of 5:1, and below
(40) −30 dB the signal is boosted with a ratio of 5:1. The gain is smoothed with an attack coefficient α.sub.attack corresponding to a half-decay time of 10 ms and a release coefficient α.sub.release corresponding to a half-decay time of 500 ms. The original audio signal depicted in
(41)
(42) In the first signal that was examined in
(43) A suitable behavior of the release control is now described. In qualitative terms, if an event is detected, the gain is smoothed with the release time constant as specified above in Equation 7a. As time evolves past the detected event, and if no subsequent events are detected, the release time constant continually increases so that eventually the smoothed gain is “frozen” in place. If another event is detected, then the smoothing time constant is reset to the original value and the process repeats. In order to modulate the release time, one may first generate a control signal based on the detected event boundaries.
(44) As discussed earlier, event boundaries may be detected by looking for changes in successive spectra of the audio signal. In this particular implementation, the DFT of each overlapping block x[n,t] may be computed to generate the STDFT of the audio signal x[n]:
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Next, the difference between the normalized log magnitude spectra of successive blocks may be computed according to:
(46)
where
(47)
Here the maximum of |X[k,t]| across bins k is used for normalization, although one might employ other normalization factors; for example, the average of |X[k,t]| across bins. If the difference D[t] exceeds a threshold D.sub.min, then an event is considered to have occurred. Additionally, one may assign a strength to this event, lying between zero and one, based on the size of D[t] in comparison to a maximum threshold D.sub.max. The resulting auditory event strength signal A[t] may be computed as:
(48)
By assigning a strength to the auditory event proportional to the amount of spectral change associated with that event, greater control over the dynamics processing is achieved in comparison to a binary event decision. The inventors have found that larger gain changes are acceptable during stronger events, and the signal in equation 11 allows such variable control.
(49) The signal A[t] is an impulsive signal with an impulse occurring at the location of an event boundary. For the purposes of controlling the release time, one may further smooth the signal A[t] so that it decays smoothly to zero after the detection of an event boundary. The smoothed event control signal A[t] may be computed from A[t] according to:
(50)
Here α.sub.event controls the decay time of the event control signal.
(51) One may now use the event control signal Ā[t] to vary the release time constant used for smoothing the gain. When the control signal is equal to one, the smoothing coefficient α[t] from Equation 7a equals α.sub.release, as before, and when the control signal is equal to zero, the coefficient equals one so that the smoothed gain is prevented from changing. The smoothing coefficient is interpolated between these two extremes using the control signal according to:
(52)
By interpolating the smoothing coefficient continuously as a function of the event control signal, the release time is reset to a value proportionate to the event strength at the onset of an event and then increases smoothly to infinity after the occurrence of an event. The rate of this increase is dictated by the coefficient α.sub.event used to generate the smoothed event control signal.
(53)
Loudness Based AGC and DRC
(54) As an alternative to traditional dynamics processing techniques where signal modifications are a direct function of simple signal measurements such as Peak or RMS power, International Patent Application S.N. PCT/US2005/038579 discloses use of the psychoacoustic based loudness model described earlier as a framework within which to perform dynamics processing. Several advantages are cited. First, measurements and modifications are specified in units of sone, which is a more accurate measure of loudness perception than more basic measures such as Peak or RMS power. Secondly, the audio may be modified such that the perceived spectral balance of the original audio is maintained as the overall loudness is changed. This way, changes to the overall loudness become less perceptually apparent in comparison to a dynamics processor that utilizes a wideband gain, for example, to modify the audio. Lastly, the psychoacoustic model is inherently multi-band, and therefore the system is easily configured to perform multi-band dynamics processing in order to alleviate the well-known cross-spectral pumping problems associated with a wideband dynamics processor.
(55) Although performing dynamics processing in this loudness domain already holds several advantages over more traditional dynamics processing, the technique may be further improved through the use of auditory events to control various parameters. Consider the audio segment containing piano chords as depicted in 27a and the associated DRC shown in
(56) The loudness domain dynamics processing system that is now described consists of AGC followed by DRC. The goal of this combination is to make all processed audio have approximately the same perceived loudness while still maintaining at least some of the original audio's dynamics.
(57) Auditory events may be utilized to control the attack and release of both the AGC and DRC. In the case of AGC, both the attack and release times are large in comparison to the temporal resolution of event perception, and therefore event control may be advantageously employed in both cases. With the DRC, the attack is relatively short, and therefore event control may be needed only for the release as with the traditional DRC described above.
(58) As discussed earlier, one may use the specific loudness spectrum associated with the employed loudness model for the purposes of event detection. A difference signal D[t], similar to the one in Equations 10a and b may be computed from the specific loudness N[b,t], defined in Equation 2, as follows:
(59)
where
(60)
Here the maximum of |N[b,t]| across frequency bands b is used for normalization, although one might employ other normalization factors; for example, the average of |N[b,t] across frequency bands. If the difference D[t] exceeds a threshold D.sub.min, then an event is considered to have occurred. The difference signal may then be processed in the same way shown in Equations 11 and 12 to generate a smooth event control signal Ā[t] used to control the attack and release times.
(61) The AGC curve depicted in
L.sub.o=F.sub.AGC{L.sub.i} (15a)
The DRC curve may be similarly represented:
L.sub.o=F.sub.DRC{L.sub.i} (15b)
For the AGC, the input loudness is a measure of the audio's long-term loudness. One may compute such a measure by smoothing the instantaneous loudness L[t], defined in Equation 3, using relatively long time constants (on the order of several seconds). It has been shown that in judging an audio segment's long term loudness, humans weight the louder portions more heavily than the softer, and one may use a faster attack than release in the smoothing to simulate this effect. With the incorporation of event control for both the attack and release, the long-term loudness used for determining the AGC modification may therefore be computed according to:
L.sub.AGC[t]=α.sub.AGC[t]L.sub.AGC[t−1]+(1−α.sub.AGC[t])L[t] (16a)
where
(62)
In addition, one may compute an associated long-term specific loudness spectrum that will later be used for the multi-band DRC:
N.sub.AGC[b,t]=α.sub.AGC[t]N.sub.AGC[b,t−1]+(1−α.sub.AGC[t])N[b,t] (16c)
In practice one may choose the smoothing coefficients such that the attack time is approximately half that of the release. Given the long-term loudness measure, one may then compute the loudness modification scaling associated with the AGC as the ratio of the output loudness to input loudness:
(63)
(64) The DRC modification may now be computed from the loudness after the application of the AGC scaling. Rather than smooth a measure of the loudness prior to the application of the DRC curve, one may alternatively apply the DRC curve to the instantaneous loudness and then subsequently smooth the resulting modification. This is similar to the technique described earlier for smoothing the gain of the traditional DRC. In addition, the DRC may be applied in a multi-band fashion, meaning that the DRC modification is a function of the specific loudness N[b,t] in each band b, rather than the overall loudness L[t]. However, in order to maintain the average spectral balance of the original audio, one may apply DRC to each band such that the resulting modifications have the same average effect as would result from applying DRC to the overall loudness.
(65) This may be achieved by scaling each band by the ratio of the long-term overall loudness (after the application of the AGC scaling) to the long-term specific loudness, and using this value as the argument to the DRC function. The result is then rescaled by the inverse of said ratio to produce the output specific loudness. Thus, the DRC scaling in each band may be computed according to:
(66)
The AGC and DRC modifications may then be combined to form a total loudness scaling per band:
S.sub.TOT[b,t]=S.sub.AGC[t]S.sub.DRC[b,t] (19)
This total scaling may then be smoothed across time independently for each band with a fast attack and slow release and event control applied to the release only. Ideally smoothing is performed on the logarithm of the scaling analogous to the gains of the traditional DRC being smoothed in their decibel representation, though this is not essential. To ensure that the smoothed total scaling moves in sync with the specific loudness in each band, attack and release modes may by determined through the simultaneous smoothing of specific loudness itself:
where
(67)
(68) Finally one may compute a target specific loudness based on the smoothed scaling applied to the original specific loudness
{circumflex over (N)}[b,t]=
and then solve for gains G[b,t] that when applied to the original excitation result in a specific loudness equal to the target:
{circumflex over (N)}[b,t]=Ψ{G.sup.2[b,t]E[b,t]} (22)
The gains may be applied to each band of the filterbank used to compute the excitation, and the modified audio may then be generated by inverting the filterbank to produce a modified time domain audio signal.
Additional Parameter Control
(69) While the discussion above has focused on the control of AGC and DRC attack and release parameters via auditory scene analysis of the audio being processed, other important parameters may also benefit from being controlled via the ASA results. For example, the event control signal Ā[t] from Equation 12 may be used to vary the value of the DRC ratio parameter that is used to dynamically adjust the gain of the audio. The Ratio parameter, similarly to the attack and release time parameters, may contribute significantly to the perceptual artifacts introduced by dynamic gain adjustments.
Implementation
(70) The invention may be implemented in hardware or software, or a combination of both (e.g., programmable logic arrays). Unless otherwise specified, the algorithms included as part of the invention are not inherently related to any particular computer or other apparatus. In particular, various general-purpose machines may be used with programs written in accordance with the teachings herein, or it may be more convenient to construct more specialized apparatus (e.g., integrated circuits) to perform the required method steps. Thus, the invention may be implemented in one or more computer programs executing on one or more programmable computer systems each comprising at least one processor, at least one data storage system (including volatile and non-volatile memory and/or storage elements), at least one input device or port, and at least one output device or port. Program code is applied to input data to perform the functions described herein and generate output information. The output information is applied to one or more output devices, in known fashion.
(71) Each such program may be implemented in any desired computer language (including machine, assembly, or high level procedural, logical, or object oriented programming languages) to communicate with a computer system. In any case, the language may be a compiled or interpreted language.
(72) Each such computer program is preferably stored on or downloaded to a storage media or device (e.g., solid state memory or media, or magnetic or optical media) readable by a general or special purpose programmable computer, for configuring and operating the computer when the storage media or device is read by the computer system to perform the procedures described herein. The inventive system may also be considered to be implemented as a computer-readable storage medium, configured with a computer program, where the storage medium so configured causes a computer system to operate in a specific and predefined manner to perform the functions described herein.
(73) A number of embodiments of the invention have been described. Nevertheless, it will be understood that various modifications may be made without departing from the spirit and scope of the invention. For example, some of the steps described herein may be order independent, and thus may be performed in an order different from that described.
(74) It should be understood that implementation of other variations and modifications of the invention and its various aspects will be apparent to those skilled in the art, and that the invention is not limited by these specific embodiments described. It is therefore contemplated to cover by the present invention any and all modifications, variations, or equivalents that fall within the true spirit and scope of the basic underlying principles disclosed and claimed herein.
INCORPORATION BY REFERENCE
(75) The following patents, patent applications and publications are hereby incorporated by reference, each in their entirety.
Audio Dynamics Processing
(76) Audio Engineer's Reference Book, edited by Michael Talbot-Smith, 2.sup.nd edition. Limiters and Compressors, Alan Tutton, 2-1492-165. Focal Press, Reed Educational and Professional Publishing, Ltd., 1999.
Detecting and Using Auditory Events
(77) U.S. patent application Ser. No. 10/474,387, “High Quality Time-Scaling and Pitch-Scaling of Audio Signals” of Brett Graham Crockett, published Jun. 24, 2004 as US 2004/0122662 A1. U.S. patent application Ser. No. 10/478,398, “Method for Time Aligning Audio Signals Using Characterizations Based on Auditory Events” of Brett G. Crockett et al, published Jul. 29, 2004 as US 2004/0148159 A1. U.S. patent application Ser. No. 10/478,538, “Segmenting Audio Signals Into Auditory Events” of Brett G. Crockett, published Aug. 26, 2004 as US 2004/0165730 A1. Aspects of the present invention provide a way to detect auditory events in addition to those disclosed in said application of Crockett. U.S. patent application Ser. No. 10/478,397, “Comparing Audio Using Characterizations Based on Auditory Events” of Brett G. Crockett et al, published Sep. 2, 2004 as US 2004/0172240 A1. International Application under the Patent Cooperation Treaty S.N. PCT/US 05/24630 filed Jul. 13, 2005, entitled “Method for Combining Audio Signals Using Auditory Scene Analysis,” of Michael John Smithers, published Mar. 9, 2006 as WO 2006/026161. International Application under the Patent Cooperation Treaty S.N. PCT/US 2004/016964, filed May 27, 2004, entitled “Method, Apparatus and Computer Program for Calculating and Adjusting the Perceived Loudness of an Audio Signal” of Alan Jeffrey Seefeldt et al, published Dec. 23, 2004 as WO 2004/111994 A2. International application under the Patent Cooperation Treaty S.N. PCT/US2005/038579, filed Oct. 25, 2005, entitled “Calculating and Adjusting the Perceived Loudness and/or the Perceived Spectral Balance of an Audio Signal” by Alan Jeffrey Seefeldt and published as International Publication Number WO 2006/047600. “A Method for Characterizing and Identifying Audio Based on Auditory Scene Analysis,” by Brett Crockett and Michael Smithers, Audio Engineering Society Convention Paper 6416, 118.sup.th Convention, Barcelona, May 28-31, 2005. “High Quality Multichannel Time Scaling and Pitch-Shifting using Auditory Scene Analysis,” by Brett Crockett, Audio Engineering Society Convention Paper 5948, New York, October 2003. “A New Objective Measure of Perceived Loudness” by Alan Seefeldt et al, Audio Engineering Society Convention Paper 6236, San Francisco, Oct. 28, 2004. Handbook for Sound Engineers, The New Audio Cyclopedia, edited by Glen M. Ballou, 2.sup.nd edition. Dynamics, 850-851. Focal Press an imprint of Butterworth-Heinemann, 1998. Audio Engineer's Reference Book, edited by Michael Talbot-Smith, 2.sup.nd edition, Section 2.9 (“Limiters and Compressors” by Alan Tutton), pp. 2.149-2.165, Focal Press, Reed Educational and Professional Publishing, Ltd., 1999.