On Fast Multivariable Bilinear and Hadamard Transforms

IEEE Transactions on Signal Processing

Volumn 39, Issue 8, 1991, Pages 1788-1792

  Hertz, David ^a  

^a Center For Signal Processing ^*  (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - POLYNOMIALS; SIGNAL FILTERING AND PREDICTION; SYSTEM STABILITY;

HADAMARD TRANSFORMS; MULTIVARIABLE BILINEAR TRANSFORMS; SYLVESTER-TYPE HADAMARD MATRICES; TRANSFORMED POLYNOMIALS;

MATHEMATICAL TRANSFORMATIONS;

EID: 0026205554     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.91149     Document Type: Article

References (11)

1. Y. Be'ery and J. Snyders, “Optimal soft decision block decoders based on fast Hadamard transform,” IEEE Trans. Inform. Theory, vol. IT-32, no. 3, pp. 355-364, May 1986.
2. Y. Be'ery and J. Snyders, “A recursive Hadamard transform optimal soft decision decoding algorithm,” SIAM J. Alg. Disc. Math., vol. 8, no. 4, pp. 778-789, Oct. 1987.
3. M. Cohn and A. Lempel, “On fast M-sequence transform,” IEEE Trans. Inform. Theory, vol. IT-23, pp. 135-136, Jan. 1977.
4. W. R. Crowther and C. M. Rader, “Efficient coding of vocoder channel signals using linear transformation,” Proc. IEEE, vol. 54, pp. 1594-1595, 1966.
5. I. J. Good, “The interaction algorithm and practical Fourier analysis,” J. Roy. Soc., ser. B, vol. 20, pp. 361-372, 1958.
6. A. Hedayat and W. D. Wallis, “Hadamard matrices and their applications,” Ann. Stat., vol. 6, no. 6, pp. 1184-1238, 1978.
7. D. Hertz and E. Zeheb, “A general property of the transformation matrices associated with the n-variable bilinear transformation,” IEEE Trans. Circuits Syst., vol. CAS-31, pp. 296-299, Mar. 1984.
8. E. I. Jury, Inners and Stability of Dynamic Systems, second ed. Florida: Krieger, 1982, pp. 242-252.
9. H. J. Manley, H. F. Mattson, and J. R. Schatz, “Some applications of Good's theorem,” IEEE Trans. Inform. Theory, vol. IT-26, no. 4, pp. 475-476, July 1980.
10. B. O'Connor and T. S. Huang, “An efficient algorithm for bilinear transformation of multivariable polynomials,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-26, pp. 380-381, Aug. 1978.
11. V. V. B. Rao and V. K. Aatre, “Transformation matrices for bilinear transformation of multivariable polynomials,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-24, pp. 266-267, June 1976.