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- 1
-
J. S. Abel, ``Expressions relating frequency, critical-band rate, and critical
bandwidth,'' 1997,
submitted for publication.
- 2
-
M. Bosi, K. Brandenburg, S. Quackenbush, L. Fielder, K. Akagin, H. Fuchs,
M. Dietz, J. Herre, G. Davidson, and Y. Oikawa, ``ISO / IEC MPEG-2 advanced
audio coding,'' Audio Engineering Society Convention, vol. Preprint 4382,
Nov. 1996,
36 pages. See also ISO/IEC International Standard IS 13818-7 entitled
``MPEG-2 Advanced Audio Coding,'' April, 1997.
- 3
-
R. V. Churchill, Complex Variables and Applications,
New York: McGraw-Hill, 1960.
- 4
-
A. G. Constantinides, ``Spectral transformations for digital filters,'' Proceedings of the IEE, vol. 117, pp. 1585-1590, Aug. 1970.
- 5
-
B. R. Glasberg and B. C. J. Moore, ``Derivation of auditory filter shapes from
notched-noise data,'' Hearing Research, vol. 47, pp. 103-138, 1990.
- 6
-
D. D. Greenwood, ``A cochlear frequency-position function for several
species--29 years later,'' Journal of the Acoustical Society of America,
vol. 87, pp. 2592-605, June 1990.
- 7
-
W. Hartmann, Signals, Sound, and Sensation,
New York: AIP Press, 1997,
647 pp., 221 illustrations, hardcover.
- 8
-
T. Irino and H. Kawahara, ``Signal reconstruction from modified auditory
wavelet transform,'' IEEE Transactions on Signal Processing, vol. 41, no. 12,
pp. 3549-3554, 1993.
- 9
-
T. Irino and R. D. Patterson, ``A time-domain, level-dependent auditory filter:
The gammachirp,'' Journal of the Acoustical Society of America, vol. 101,
pp. 412-419, 1997.
- 10
-
T. Irino and M. Unoki, ``A time-varying analysis/synthesis auditory filterbank
using the gammachirp,'' in Proceedings of the International Conference on Acoustics, Speech,
and Signal Processing, Seattle, (New York), IEEE Press, 1998.
- 11
-
ISE/IEC JTC 1/SC 29/WG 11, ISO/IEC 11172-3: Information Technology -
Coding of Moving Pictures and Associated Audio for Digital Storage Media at
up to about 1.5 Mbit/s - Part 3: Audio,
Motion Picture Experts Group, 1993.
- 12
-
M. Karjalainen, ``A new auditory model for the evaluation of sound quality of
audio systems,'' in Proceedings of the International Conference on Acoustics, Speech, and
Signal Processing, Tampa, Florida, (New York), pp. 608-611, IEEE Press,
1985.
- 13
-
M. Karjalainen and J. O. Smith, ``Body modeling techniques for string
instrument synthesis,'' in Proceedings of the 1996 International Computer Music Conference,
Hong Kong, pp. 232-239, Computer Music Association, searchable at
http://quod.lib.umich.edu/i/icmc/,
Aug. 1996.
- 14
-
M. Karjalainen, A. Harma, U. K. Laine, and J. Huopaniemi, ``Warped filters and
their audio applications,'' in Proceedings of the IEEE Workshop on Applications of Signal
Processing to Audio and Acoustics, New Paltz, NY, (New York), IEEE Press,
Oct. 1997,
Session 11, paper 2, 4 pages.
- 15
-
U. K. Laine, M. Karjalainen, and T. Altosaar, ``Warped linear prediction
(WLP) in speech and audio processing,'' Proceedings of the International Conference on
Acoustics, Speech, and Signal Processing, Adelaide, Australia,
pp. III:349-352, 1994.
- 16
-
L. Ljung and T. L.Soderstrom, ``The Steiglitz-McBride algorithm
revisited--convergence analysis and accuracy aspects,'' IEEE
Transactions on Automatic Control, vol. 26, pp. 712-717, June 1981,
See also the function stmcb() in the Matlab Signal Processing
Toolbox.
- 17
-
L. Ljung and T. L. Soderstrom, Theory and Practice of Recursive
Identification,
Cambridge, MA: MIT Press, 1983.
- 18
-
J. D. Markel and A. H. Gray, Linear Prediction of Speech,
New York: Springer Verlag, 1976.
- 19
-
B. C. J. Moore and B. R. Glasberg, ``A revision of Zwicker's loudness
model,'' Acta Acustica, vol. 82, pp. 335-345, 1996.
- 20
-
B. C. J. Moore, ``Distribution of auditory-filter bandwidths at 2 kHz in
young normal listeners,'' Journal of the Acoustical Society of America,
vol. 81, pp. 1633-1635, May 1987.
- 21
-
B. C. J. Moore, An Introduction to the Psychology of Hearing,
New York: Academic Press, 1997.
- 22
-
B. C. J. Moore, R. W. Peters, and B. R. Glasberg, ``Auditory filter shapes at
low center frequencies,'' Journal of the Acoustical Society of America,
vol. 88, pp. 132-140, July 1990.
- 23
-
J. A. Moorer, ``The manifold joys of conformal mapping: Applications to digital
filtering in the studio,'' Journal of the Audio Engineering Society, vol. 31,
pp. 826-841, Nov 1983.
- 24
-
Z. Nehari, Conformal Mapping,
New York: Dover, 1952.
- 25
-
A. V. Oppenheim, D. H. Johnson, and K. Steiglitz, ``Computation of spectra with
unequal resolution using the fast Fourier transform,'' Proceedings of the IEEE,
vol. 59, pp. 299-301, 1971.
- 26
-
T. W. Parks and C. S. Burrus, Digital Filter Design,
New York: John Wiley and Sons, Inc., June 1987,
contains FORTRAN software listings.
- 27
-
R. D. Patterson, ``Auditory filter shapes derived with noise stimuli,'' Journal of the Acoustical Society of America, vol. 76, pp. 640-654, Mar. 1982.
- 28
-
R. D. Patterson and G. B. Henning, ``Stimulus variability and auditory filter
shape,'' Journal of the Acoustical Society of America, vol. 62,
pp. 649-663, Sept. 1977.
- 29
-
R. D. Patterson, I. Nimmo-Smith, D. L. Weber, and R. Milroy, ``The
deterioration of hearing with age: Frequency selectivity, the critical ratio,
the audiogram, and speech threshold,'' Journal of the Acoustical Society
of America, vol. 72, pp. 1788-1803, Dec. 1982.
- 30
-
R. D. Patterson, M. Allerhand, and C. Giguere, ``Time-domain modelling of
peripheral auditory processing: A modular architecture and software
platform,'' Journal of the Acoustical Society of America, vol. 98,
pp. 1890-1894, 1995.
- 31
-
M. J. Shailer, B. C. J. Moore, B. R. Glasberg, and N. Watson, ``Auditory filter
shapes at 8 and 10 kHz,'' Journal of the Acoustical Society of America,
vol. 88, pp. 141-148, July 1990.
- 32
-
M. Slaney, ``An efficient implementation of the Patterson-Holdsworth auditory
filter bank,'' Tech. Rep. 35, Apple Computer, Inc., 1993,
http://www.slaney.org/malcolm/apple/tr35/PattersonsEar.pdf.
- 33
-
J. O. Smith, ``Spectral pre-processing for audio digital filter design,'' in
Proceedings of the 1983 International Computer Music Conference, Eastman School of Music,
Computer Music Association, searchable at
http://quod.lib.umich.edu/i/icmc/,
1983,
Essentially fully contained in [34].
- 34
-
J. O. Smith, Techniques for Digital Filter Design and System
Identification with Application to the Violin,
PhD thesis, Elec. Engineering Dept., Stanford University (CCRMA), June
1983,
CCRMA Technical Report
STAN-M-14,
https://ccrma.stanford.edu/STANM/stanms/stanm14/.
- 35
-
J. O. Smith and J. S. Abel, ``The Bark bilinear transform,'' in Proceedings of the
IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz,
NY, (New York), IEEE Press, Oct. 1995,
Session 8, paper 6, 4 pages.
https://ccrma.stanford.edu/~jos/gz/bbtmh.tgz.
- 36
-
T. Sporer and K. Brandenburg, ``Constraints of filter banks used for perceptual
measurement,'' Journal of the Audio Engineering Society, vol. 43,
pp. 107-116, Mar. 1995.
- 37
-
H. W. Strube, ``Linear prediction on a warped frequency scale,'' Journal of the Acoustical Society of America, vol. 68, no. 4, pp. 1071-1076,
1980.
- 38
-
B. A. Wright, ``Auditory filter asymmetry at 2000 Hz in 80 normal-hearing
ears,'' Journal of the Acoustical Society of America, vol. 100,
pp. 1717-1721, Sept. 1996.
- 39
-
E. Zwicker and H. Fastl, Psychoacoustics, Facts and Models,
Berlin: Springer Verlag, 1990,
see also later 1999 edition.
- 40
-
E. Zwicker and H. Fastl, Psychoacoustics: Facts and Models,
Berlin: Springer Verlag, 1999,
second updated edition, 80pp., CD-ROM/softcover.
- 41
-
E. Zwicker and B. Scharf, ``A model of loudness summation,'' Psych. Rev.,
vol. 72, pp. 3-26, 1965.
- 42
-
E. Zwicker and E. Terhardt, ``Analytical expressions for critical band rate and
critical bandwidth as a function of frequency,'' Journal of the
Acoustical Society of America, vol. 68, pp. 1523-1525, 1980.
- Julius O. Smith
- is an Associate Professor of Music and (by courtesy) Electrical
Engineering at the Center for Computer Research in Music and Acoustics
(CCRMA), Department of Music, Stanford University
(http://ccrma.stanford.edu/CCRMA/Overview/Overview.html). His
activities include teaching audio signal processing courses, advising
graduate students, and pursuing research in signal processing
techniques applied to music, Acoustics, and audio. From 1986 to 1991,
he was a software engineer at NeXT Computer, Inc., responsible for
signal processing software pertaining to music and audio. From 1982
to 1986 he was with the Adaptive Systems Department at Systems Control
Technology, Palo Alto, CA, where he worked in the areas of adaptive
filtering and spectral estimation. He received the M.S. and Ph.D.
degrees in E.E. from Stanford University, Stanford, CA, in 1978 and
1983, respectively. His Ph.D. research involved the application of
digital filter design and system identification techniques to the
modeling and synthesis of the violin, clarinet, reverberant spaces,
and other musical systems. From 1975 to 1977 he worked in the signal
Processing Department at ESL, Sunnyvale, CA, on systems for digital
communications. He received the B.S.E.E. degree from Rice University,
Houston, TX, in 1975. For more information, see http://ccrma.stanford.edu/~jos/.
- Jonathan S. Abel
- is a researcher with the San Jose State University Foundation studying
spatial hearing on a grant from the Human Factors Research Division of
NASA Ames Research Center. He also owns Abel Innovations, an
engineering consulting firm specializing in audio signal processing.
He was chief scientist of Crystal River Engineering, Inc. where he
developed efficient methods for synthesizing spatial audio cues and
measuring head-related transfer functions. Prior to joining Crystal
River, Dr. Abel was vice president of Tetra Systems Incorporated, a
lecturer at Yale University, and a consultant to Northwest Digital
Research, Systems Control Technology, Saxpy Computer, and Apple
Computer, among others. He holds a PhD and MS from Stanford
University, and an SB from MIT, all in electrical engineering.
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