Rational Modeling by Pencil-of-Functions Method

IEEE Transactions on Acoustics, Speech, and Signal Processing

Volumn 31, Issue 3, 1983, Pages 564-573

  Jain, Vijay K ^a   Sarkar, Tapan K ^b   Weiner, Donald D ^c  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

^b ROCHESTER INSTITUTE OF TECHNOLOGY   (United States)

^c SYRACUSE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SIGNAL PROCESSING;

EID: 0020767413     PISSN: 00963518     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASSP.1983.1164116     Document Type: Article

References (24)

1. J. Makhoul, “Linear prediction: A tutorial review,” Proc. IEEE, vol. 63, pp. 561-580, Apr. 1980.
2. J. D. Markel and A. H. Gray, Linear Prediction of Speech. Berlin, West Germany: Springer-Verlag, 1976.
3. J. N. Brittingham, E. K. Miller, and J. L. Willows, “Pole extraction from real frequency information,” Proc. IEEE, vol. 68, pp. 263-273, Feb. 1980.
4. T. K, Sarkar, V. K. Jain, J. Nebat, and D. D. Weiner, “A comparison of the pencil-of-functions method with Prony's method Wiener filters and other identification techniques,” Tech. Rep., Air Force Weapons Lab Contract F 33615-77-C-2059, Task 12), Dec. 1977. (Also in IEEE Trans. Antennas Propagat., vol. AP-30, pp. 89-98, Jan. 1982.)
5. D. L. Moffatt and R. K. Mains, “Detection and discrimination of radar targets,” IEEE Trans. Antennas Propagat., vol. AP-23, pp. 358-367, May 1975.
6. C. W. Chuang and D. L. Moffatt, “Natural resonances via Prony's method and target discrimination,” IEEE Trans. Aerosp. Electron. Syst., vol. AES-12, pp. 583-589, 1976.
7. F. Brophy and A. C. Salazar, “Recursive digital filter synthesis in the time domain,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-22, pp. 45-55, Feb. 1974.
8. V. K. Jain, “Filter analysis by use of pencil-of-functions: Part I,” IEEE Trans. Circuits Syst., vol. CAS-21, pp. 574-579, Sept. 1974.
9. F. R. Gantmacher, Theory of Matrices, vol. 1. New York: Chelsea, 1960.
10. C. Gueguen, Y. Grenier, and F. Giannella, “Factorial linear modeling, algorithms and applications,” in Proc. Int. Conf. Acoust., Speech, Signal Processing, 1980, pp. 618-621.
11. E. W. Cheney, Introduction to Approximation Theory. New York: McGraw-Hill, 1966.
12. J. A. Cadzow, “Recursive digital filter synthesis via gradient based algorithm,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-24, pp. 349-355, Oct. 1976.
13. J. H. Carr, III, “An analytical investigation of transients synthesis by exponentials,” M. S. thesis, Mass. Inst. Tech., Cambridge, 1949.
14. V. K. Jain, “On system identification and approximation,” Eng. Res. Rep. SS-I1, Florida State Univ., Tallahassee, 1970.
15. V. K. Jain, “Advanced techniques for black-box modeling,” Rome Air Development Center, Tech. Rep. RADC-TR-80-343, 1980.
16. T. K. Sarkar, J. Nebat, D. D. Weiner, and V. K. Jain, “Suboptimal approximation/identification of transient waveforms from electromagnetic systems by pencil-of-functions method,” IEEE Trans. Antennas Propagat., vol. AP-28, pp. 928-933, Nov. 1980.
17. K. Steiglitz, “On the simultaneous estimation of poles and zeros in speech analysis,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, pp. 229-234, June 1977.
18. R. Prony, “Essai experimentale et analytique …, ” J. Ecole Polytechnique, vol. 1, pp. 24-76, 1795.
19. F. Brophy and A. C. Salazar, “Considerations of the Padé approximant technique in the synthesis of recursive digital filters,” IEEE Trans. Audio Electroacoust., vol. AU-21, pp. 500-505, Dec. 1973.
20. A. A. Beex and L. L. Scharf, “Covariance sequence approximation for parametric spectrum modeling,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, pp. 1040-1052, Oct. 1981.
21. R. Kumaresan and D. W. Tufts, “Accurate parameter estimation of noisy speech-like signals,” in Proc. ICASSP-82, Apr. 1982, pp. 1357-1361.
22. T. L. Henderson, “Geometric methods for determining system poles from transient response,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, pp. 982-989, Oct. 1981.
23. C. Gueguen and L. L. Scharf, “Exact maximum likelihood identification of ARMA models,” in Proc. Euro. Signal Proc. Conf. (EUSIPCO), 1980.
24. F. R. Gantmacher, Theory of Matrices. New York: Chelsea, 1960.