A sparse-interpolated scheme for implementing adaptive volterra filters

IEEE Transactions on Signal Processing

Volumn 58, Issue 4, 2010, Pages 2022-2035

  Batista, Eduardo Luiz Ortiz ^a   Tobias, Orlando José ^a   Seara, Rui ^a  

^a FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

Author keywords

Adaptive filters; Adaptive Volterra filters; Least mean square algorithms; Nonlinear filters; Sparse implementations

Indexed keywords

ADAPTIVE VOLTERRA FILTERS; COMPUTATIONAL BURDEN; LEAST MEAN SQUARE ALGORITHMS; LEAST MEAN SQUARES; NONLINEAR FILTER; NONLINEAR FILTERS; NORMALIZED LMS; NUMERICAL SIMULATION; SPARSE KERNELS; VOLTERRA FILTER;

ADAPTIVE FILTERING; ADAPTIVE FILTERS; COMPUTER SIMULATION; ELECTRIC FILTERS; NONLINEAR FILTERING;

COMPUTATIONAL COMPLEXITY;

EID: 77949345470     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2036480     Document Type: Article

References (30)

1. L. Tan and J. Jiang, "Adaptive Volterra filters for active control of nonlinear noise processes," IEEE Trans. Signal Process., vol.49, no.8, pp. 1667-1676, Aug. 2001.
2. A. Stenger, L. Trautmann, and R. Rabenstein, "Nonlinear acoustic echo cancellation with second order adaptive Volterra filters," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP), Phoenix, AZ, Mar. 1999, vol.2, pp. 877-880.
3. M. Tsujikawa, T. Shiozaki, Y. Kajikawa, and Y. Nomura, "Identification and elimination of second-order nonlinear distortion of loudspeaker systems using Volterra filters," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), Geneva, Switzerland, May 2000, vol.5, pp. 249-252.
4. A. Gutierrez and W. E. Ryan, "Performance of adaptive Volterra equalizers on nonlinear satellite-channels," in Proc. IEEE Int. Conf. Commun., Seattle, WA, Jun. 1995, vol.1, pp. 488-492.
5. L. Yao, W. A. Sethares, and Y.-H. Hu, "Identification of a nonlinear system modeled by a sparse Volterra series," in Proc. IEEE Int. Conf. Syst. Eng., Kobe, Japan, Sep. 1992, pp. 624-627.
6. S. Im and M. J. Bae, "Nonlinear modeling of speech signals using a sparse Volterra model," in Proc. 4th Int. Symp. Signal Processing and Its Applications, Gold Coast, Australia, Aug. 1996, vol.2, pp. 760-763.
7. L. Yao, "Genetic algorithm based identification of nonlinear systems by sparse Volterra filters," IEEE Trans. Signal Process., vol.47, no.12, pp. 3433-3435, Dec. 1999.
8. L. Tan and J. Jiang, "An adaptive technique for modeling second-order Volterra systems with sparse kernels," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol.45, no.12, pp. 1610-1615, Dec. 1998.
9. T. Koh and E. J. Powers, "Second-order Volterra filtering and its application to nonlinear system identification," IEEE Trans. Acoust., Speech, Signal Process., vol.33, no.6, pp. 1445-1455, Dec. 1985.
10. W. A. Frank, "An efficient approximation to the quadratic Volterra filter and its application in real-time loudspeaker linearization," Signal Process., vol.45, no.1, pp. 97-113, Jul. 1995.
11. A. Fermo, A. Carini, and G. L. Sicuranza, "Simplified Volterra filters for acoustic echo cancellation in GSM receivers," in Proc. Eur. Signal Process. Conf., Tampere, Finland, Sep. 2000, pp. 2413-2416.
12. A. Fermo, A. Carini, and G. L. Sicuranza, "Low-complexity nonlinear adaptive filters for acoustic echo cancellation in GSM handset receivers," Eur. Trans. Telecommun., vol.14, no.2, pp. 161-169, Mar./Apr. 2003.
13. F. Kuech and W. Kellermann, "Nonlinear line echo cancellation using a simplified second order Volterra filter," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP), Orlando, FL, May 2002, vol.2, pp. 1117-1120.
14. F. Kuech and W. Kellermann, "A novel multidelay adaptive algorithm for Volterra filters in diagonal coordinate representation," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP), Montreal, Canada, May 2004, vol.2, pp. 869-872.
15. F. Kuech, A. Mitnacht, and W. Kellermann, "Nonlinear acoustic echo cancellation using adaptive orthogonalized power filters," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP), Philadelphia, PA, Mar. 2005, vol.3, pp. 105-108.
16. F. Kuech and W. Kellermann, "Nonlinear residual echo suppression using a power filter model of the acoustic echo path," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP), Honolulu, HI, Apr. 2007, vol.1, pp. 73-76.
17. Z. Peng, Z. Qin, and W. Siliang, "A novel adaptive digital predistortion for RF power amplifier linearization based on simplified Volterra series," in Proc. IEEE 2007 Int. Symp. Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, Hangzhou, China, Aug. 2007, vol.3, pp. 105-108.
18. E. L. O. Batista, O. J. Tobias, and R. Seara, "Fully and partially interpolated adaptiveVolterra filters," in Proc. Eur. Signal Process. Conf. (EUSIPCO), Antalya, Turkey, Sep. 2005, paper no. 1507, 4 pp., CD-ROM.
19. E. L. O. Batista, O. J. Tobias, and R. Seara, "A mathematical framework to describe interpolated adaptive Volterra filters," in Proc. IEEE Int. Telecommun. Symp., Fortaleza, Brazil, Sep. 2006, pp. 144-149.
20. V. J. Mathews and G. L. Sicuranza, Polynomial Signal Processing. New York: Wiley, 2000.
21. G. V. Raz and B. V. Veen, "Baseband Volterra filters for implementing carrier based nonlinearities," IEEE Trans. Signal Process., vol.46, no.1, pp. 103-114, Jan. 1998.
22. B. Farhang-Boroujeny, Adaptive Filters Theory and Applications. New York: Wiley, 1999.
23. M. Rupp, "A family of filter algorithms with decorrelating properties," IEEE Trans. Signal Process., vol.46, no.3, pp. 771-774, Mar. 1998.
24. Y. Neuvo, C. Y. Dong, and S. K. Mitra, "Sparse-interpolated finite impulse response digital filters," IEEE Trans. Acoust., Speech, Signal Process., vol.32, no.3, pp. 563-570, Jun. 1984.
25. O. J. Tobias and R. Seara, "Analytical model for the mean weight behavior of an adaptive sparse-interpolated FIR filter using the constrained filtered-X LMS algorithm," IEE Proc.-Vis. Image Signal Process., vol.148, no.5, pp. 337-347, Oct. 2001.
26. T. K. Moon and W. C. Stirling, Mathematical Methods and Algorithms for Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 2000.
27. O. L. Frost, III, "An algorithm for linearly constrained adaptive array processing," Proc. IEEE, vol.60, no.8, pp. 926-935, Aug. 1972.
28. D. S. Bernstein, Matrix Mathematics: Theory, Facts, and Formulas With Application to Linear Systems Theory. Princeton, NJ: Princeton Univ. Press, 2005.
29. T. M. Panicker, V. J. Matthews, and G. L. Sicuranza, "Adaptive parallel- cascade truncated Volterra filters," IEEE Trans. Signal Process., vol.46, no.10, pp. 2664-2673, Oct. 1998.
30. D. Schwingshackl and G. Kubin, "Polyphase representation of multirate nonlinear filters and its applications," IEEE Trans. Signal Process., vol.55, no.5, pp. 2145-2157, May. 2007.