Bibliography

1

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions,
New York: Dover, 1965.

2

R. Agarwal and C. S. Burrus, ``Number theoretic transforms to implement fast digital convolution,'' Proceedings of the IEEE, vol. 63, pp. 550-560, Apr. 1975,
also in [42].

3

J. B. Allen and L. R. Rabiner, ``A unified approach to short-time Fourier analysis and synthesis,'' Proc. IEEE, vol. 65, pp. 1558-1564, Nov. 1977.

4

M. Bosi and R. E. Goldberg, Introduction to Digital Audio Coding and Standards,
Boston: Kluwer Academic Publishers, 2003.

5

L. Bosse, ``An experimental high fidelity perceptual audio coder,'' tech. rep., Elec. Engineering Dept., Stanford University (CCRMA), Mar. 1998,
Music 420 Project Report, http://ccrma.stanford.edu/~jos/bosse/.

6

K. Brandenburg and M. Bosi, ``Overview of MPEG audio: Current and future standards for low-bit-rate audio coding,'' Journal of the Audio Engineering Society, vol. 45, pp. 4-21, Jan./Feb. 1997.

7

C. S. Burrus, ``Notes on the FFT,'' Mar. 1990.

8

C. S. Burrus and T. W. Parks, DFT/FFT and Convolution Algorithms,
New York: John Wiley and Sons, Inc., 1985.

9

J. P. Campbell Jr., T. E. Tremain, and V. C. Welch, ``The proposed federal standard 1016 4800 bps voice coder: CELP,'' Speech Technology Magazine, pp. 58-64, April-May 1990.

10

D. C. Champeney, A Handbook of Fourier Theorems,
Cambridge University Press, 1987.

11

D. G. Childers, ed., Modern Spectrum Analysis,
New York: IEEE Press, 1978.

12

J. M. Chowning, ``The synthesis of complex audio spectra by means of frequency modulation,'' Journal of the Audio Engineering Society, vol. 21, no. 7, pp. 526-534, 1973,
reprinted in [61].

13

R. V. Churchill, Complex Variables and Applications,
New York: McGraw-Hill, 1960.

14

J. Cooley and J. Tukey, ``An algorithm for the machine computation of the complex Fourier series,'' Mathematics of Computation, vol. 19, pp. 297-301, Apr. 1965.

15

J. Dattorro, ``The implementation of recursive digital filters for high-fidelity audio,'' Journal of the Audio Engineering Society, vol. 36, pp. 851-878, Nov. 1988,
Comments, ibid. (Letters to the Editor), vol. 37, p. 486 (1989 June); Comments, ibid. (Letters to the Editor), vol. 38, pp. 149-151 (1990 Mar.).

16

J. R. Deller Jr., J. G. Proakis, and J. H. Hansen, Discrete-Time Processing of Speech Signals,
New York: Macmillan, 1993.

17

P. A. M. Dirac, The Principles of Quantum Mechanics, Fourth Edition,
New York: Oxford University Press, 1958-2001.

18

DSP Committee, ed., Programs for Digital Signal Processing,
New York: IEEE Press, 1979.

19

P. Duhamel and M. Vetterli, ``Improved Fourier and Hartley algorithms with application to cyclic convolution of real data,'' IEEE Transactions on Acoustics, Speech, Signal Processing, vol. 35, pp. 818-824, June 1987.

20

P. Duhamel and M. Vetterli, ``Fast Fourier transforms: A tutorial review and state of the art,'' Signal Processing, vol. 19, pp. 259-299, Apr. 1990.

21

M. Frigo and S. G. Johnson, ``FFTW: An adaptive software architecture for the FFT,'' in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, Seattle, vol. 3, (New York), pp. 1381-1384, IEEE Press, 1998,
http://www.fftw.org/.

22

B. Gold and C. M. Rader, Digital Processing of Signals,
New York: McGraw-Hill, 1969.

23

G. H. Golub and C. F. Van Loan, Matrix Computations, 2nd Edition,
Baltimore: The Johns Hopkins University Press, 1989.

24

I. J. Good, ``The interaction algorithm and practical Fourier analysis,'' Journal of the Royal Statistical Society, Series B, vol. 20, no. 2, pp. 361-372, 1958,
addendum: ibid. 22 (2), 373-375 (1960).

25

R. M. Gray and L. D. Davisson, An Introduction to Statistical Signal Processing,
Cambridge University Press, 2003,
http://www-ee.stanford.edu/~gray/sp.pdf.

26

J. Gullberg, Mathematics From the Birth of Numbers,
New York: Norton and Co., 1997,
[Qa21.G78 1996] ISBN 0-393-04002-X.

27

F. J. Harris, ``On the use of windows for harmonic analysis with the discrete Fourier transform,'' Proceedings of the IEEE, vol. 66, pp. 51-83, Jan 1978.

28

W. Hartmann, Signals, Sound, and Sensation,
New York: AIP Press, 1997,
647 pp., 221 illustrations, hardcover.

29

M. Heideman, D. Johnson, and C. S. Burrus, ``Gauss and the history of the FFT,'' IEEE Signal Processing Magazine, vol. 1, pp. 14-21, Oct. 1984,
also in the Archive for History of Exact Sciences, vol. 34, no. 3, pp. 265-277, 1985.

30

S. G. Johnson and M. Frigo, ``A modified split-radix FFT with fewer arithmetic operations,'' IEEE Transactions on Signal Processing, vol. 55, pp. 111-119, Jan. 2007.

31

T. Kailath, A. H. Sayed, and B. Hassibi, Linear Estimation,
Englewood Cliffs, NJ: Prentice-Hall, Inc., Apr. 2000.

32

S. M. Kay, Fundamentals of Statistical Signal Processing, Volume I: Estimation Theory,
Englewood Cliffs, NJ: Prentice-Hall, Inc., 1993.

33

S. M. Kay, Fundamentals of Statistical Signal Processing, Volume II: Detection Theory,
Englewood Cliffs, NJ: Prentice-Hall, Inc., 1998.

34

D. Kolba and T. Parks, ``A prime factor FFT algorithm using high-speed convolution,'' IEEE Transactions on Acoustics, Speech, Signal Processing, vol. 29, pp. 281-294, Aug. 1977,
also in [42].

35

T. I. Laakso, V. Välimäki, M. Karjalainen, and U. K. Laine, ``Splitting the Unit Delay--Tools for Fractional Delay Filter Design,'' IEEE Signal Processing Magazine, vol. 13, pp. 30-60, Jan. 1996.

36

W. R. LePage, Complex Variables and the Laplace Transform for Engineers,
New York: Dover, 1961.

37

M. J. Lighthill, Introduction to Fourier Analysis,
Cambridge University Press, Jan. 1958.

38

L. Ljung and T. L. Soderstrom, Theory and Practice of Recursive Identification,
Cambridge, MA: MIT Press, 1983.

39

J. Makhoul, ``Linear prediction: A tutorial review,'' Proceedings of the IEEE, vol. 63, pp. 561-580, Apr. 1975.

40

J. D. Markel and A. H. Gray, Linear Prediction of Speech,
New York: Springer Verlag, 1976.

41

M. V. Mathews, The Technology of Computer Music,
Cambridge, MA: MIT Press, 1969.

42

J. H. McClellan and C. M. Rader, Number Theory in Digital Signal Processing,
Englewood Cliffs, NJ: Prentice-Hall, Inc., 1979.

43

J. H. McClellan, R. W. Schafer, and M. A. Yoder, DSP First: A Multimedia Approach,
Englewood Cliffs, NJ: Prentice-Hall, 1998,
Tk5102.M388.

44

B. C. J. Moore, An Introduction to the Psychology of Hearing,
New York: Academic Press, 1997.

45

M. S. Moslehian, T. Rowland, and E. W. Weisstein, Projection Matrix,
From MathWorld-A Wolfram Web Resource, Dec. 2006,
http://mathworld.wolfram.com/ProjectionMatrix.html.

46

B. Noble, Applied Linear Algebra,
Englewood Cliffs, NJ: Prentice-Hall, Inc., 1969.

47

A. V. Oppenheim and R. W. Schafer, Digital Signal Processing,
Englewood Cliffs, NJ: Prentice-Hall, Inc., 1975.

48

D. O'Shaughnessy, Speech Communication,
Reading MA: Addison-Wesley, 1987.

49

T. Painter and A. Spanias, ``Perceptual coding of digital audio,'' Proceedings of the IEEE, vol. 88, pp. 451-513, Apr. 2000.

50

A. Papoulis, Probability, Random Variables, and Stochastic Processes,
New York: McGraw-Hill, 1965.

51

A. Papoulis, Signal Analysis,
New York: McGraw-Hill, 1977.

52

T. W. Parks and C. S. Burrus, Digital Filter Design,
New York: John Wiley and Sons, Inc., June 1987,
contains FORTRAN software listings.

53

A. D. Pierce, Acoustics,
American Institute of Physics, for the Acoustical Society of America, 1989,
http://asa.aip.org/publications.html.

54

J. R. Pierce, ``private communication,'' 1991.

55

M. H. Protter and J. Charles B. Morrey, Modern Mathematical Analysis,
Reading MA: Addison-Wesley, 1964.

56

L. R. Rabiner and C. M. Rader, eds., Digital Signal Processing,
New York: IEEE Press, 1972.

57

L. R. Rabiner and R. W. Schafer, Digital Processing of Speech Signals,
Englewood Cliffs, NJ: Prentice-Hall, 1978.

58

L. R. Rabiner, R. W. Schafer, and C. M. Rader, ``The chirp z-transform algorithm and its application,'' Bell System Technical Journal, vol. 48, pp. 1249-1292, 1969,
also published in IEEE Transactions on Audio and Electroacoustics, vol. 17, no. 2, pp. 86-92, 1969.

59

C. Roads, ed., The Music Machine,
Cambridge, MA: MIT Press, 1989.

60

C. Roads, The Computer Music Tutorial,
Cambridge, MA: MIT Press, 1996.

61

C. Roads and J. Strawn, eds., Foundations of Computer Music,
Cambridge, MA: MIT Press, 1985.

62

W. Rudin, Principles of Mathematical Analysis,
New York: McGraw-Hill, 1964.

63

L. L. Sharf, Statistical Signal Processing, Detection, Estimation, and Time Series Analysis,
Reading MA: Addison-Wesley, 1991.

64

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, http://ccrma.stanford.edu/STANM/stanms/stanm14/.

65

J. O. Smith, Introduction to Matlab and Octave,
http://ccrma.stanford.edu/~jos/matlab/, 2003.

66

J. O. Smith, Introduction to Digital Filters,
http://ccrma.stanford.edu/~jos/filters/, Sept. 2005,
online book.

67

J. O. Smith, Physical Audio Signal Processing,
http://ccrma.stanford.edu/~jos/pasp/, Aug. 2006,
online book.

68

J. O. Smith, Spectral Audio Signal Processing,
CCRMA, Mar. 2006,
course reader for Music 421, hardcopy available at http://ccrma.stanford.edu/~jos/ccrmapubs.html.

69

J. O. Smith and J. S. Abel, ``Bark and ERB bilinear transforms,'' IEEE Transactions on Speech and Audio Processing, pp. 697-708, Nov. 1999.

70

J. O. Smith and P. Gossett, ``A flexible sampling-rate conversion method,'' in Proceedings of the International Conference on Acoustics, Speech, and Signal Processing, San Diego, vol. 2, (New York), pp. 19.4.1-19.4.2, IEEE Press, Mar. 1984,
expanded tutorial and associated free software available at the Digital Audio Resampling Home Page: http://ccrma.stanford.edu/~jos/resample/.

71

H. V. Sorenson, M. T. Heideman, and C. S. Burrus, ``On calculating the split-radix FFT,'' IEEE Transactions on Acoustics, Speech, Signal Processing, vol. ASSP-34, pp. 152-156, Feb. 1986.

72

H. V. Sorenson, D. L. Jones, M. T. Heideman, and C. S. Burrus, ``Real-valued fast Fourier transform algorithms,'' IEEE Transactions on Acoustics, Speech, Signal Processing, vol. ASSP-35, pp. 849-863, June 1987.

73

K. Steiglitz, A Digital Signal Processing Primer with Applications to Audio and Computer Music,
Reading MA: Addison-Wesley, 1996.

74

S. S. Stevens and H. Davis, Hearing: Its Psychology and Physiology,
American Institute of Physics, for the Acoustical Society of America, 1983,
copy of original 1938 edition, http://asa.aip.org/publications.html.

75

T. Stilson, Efficiently Variable Algorithms in Virtual-Analog Music Synthesis--a Root-Locus Perspective,
PhD thesis, Elec. Engineering Dept., Stanford University (CCRMA), June 2006,
http://ccrma.stanford.edu/~stilti/.

76

T. Stilson and J. O. Smith, ``Alias-free synthesis of classic analog waveforms,'' in Proceedings of the 1996 International Computer Music Conference, Hong Kong, Computer Music Association, 1996,
http://ccrma.stanford.edu/~stilti/.

77

R. D. Strum and D. E. Kirk, First Principles of Discrete Systems and Digital Signal Processing,
Reading MA: Addison-Wesley, 1988.

78

L. H. Thomas, ``Using a computer to solve problems in physics,'' in Applications of Digital Computers, Boston: Ginn, 1963.

79

M. Unser, ``Splines: A perfect fit for signal and image processing,'' IEEE Signal Processing Magazine, vol. 16, pp. 22-38, Nov. 1999.

80

V. Välimäki, Discrete-Time Modeling of Acoustic Tubes Using Fractional Delay Filters,
PhD thesis, Report no. 37, Helsinki University of Technology, Faculty of Electrical Engineering, Laboratory of Acoustic and Audio Signal Processing, Espoo, Finland, Dec. 1995,
http://www.acoustics.hut.fi/ vpv/publications/vesa_phd.html.

81

(Various), Prime-Factor FFT Algorithm,
http://www.wikipedia.org/wiki/Prime-factor_FFT_algorithm, 2003.

82

G. N. Watson, A Treatise on the Theory of Bessel Functions,
Cambridge University Press, 2 ed., 1944.

83

P. D. Welch, ``The use of fast Fourier transforms for the estimation of power spectra: A method based on time averaging over short modified periodograms,'' IEEE Transactions on Audio and Electroacoustics, vol. 15, pp. 70-73, 1967,
reprinted in [11] and [56].

84

U. Zölzer, ed., DAFX--Digital Audio Effects,
West Sussex, England: John Wiley and Sons, LTD, 2002,
http://www.dafx.de/.

85

E. Zwicker and H. Fastl, Psychoacoustics: Facts and Models,
Berlin: Springer Verlag, 1999,
second updated edition, 80pp., CD-ROM/softcover.