Moving horizon design of discrete coefficient FIR filters

IEEE Transactions on Signal Processing

Volumn 53, Issue 6, 2005, Pages 2262-2267

  Quevedo, Daniel E ^a   Goodwin, Graham C ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Digital filter wordlength effects; Least mean square methods; Moving horizon optimization; Optimization methods; Quadratic programming; Quantized coefficients; Sigma delta modulation

Indexed keywords

COMPUTATIONAL COMPLEXITY; DELTA SIGMA MODULATION; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; NATURAL FREQUENCIES; OPTIMIZATION; QUADRATIC PROGRAMMING;

DIGITAL FILTER WORDLENGTH EFFECTS; LEAST MEAN SQUARE METHODS; MOVING HORIZON OPTIMIZATION; QUANTIZED COEFFICIENTS;

FIR FILTERS;

EID: 20544448483     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2005.847856     Document Type: Article

References (17)

1. D. S. K. Chan and L. R. Rabiner, "Analysis of quantization errors in the direct form for finite impulse response digital filters," IEEE Trans. Audio Electroacoust., vol. AE-21, no. 4, pp. 354-366, Aug. 1973.
2. P. W. Wong and R. M. Gray, "FIR filters with sigma-delta modulation encoding," IEEE Trans. Acoust., Speech, Signal Process., vol. 38, no. 6, pp. 979-990, Jun. 1990.
3. P. W. Wong, "Fully sigma-delta modulation encoded FIR filters," IEEE Trans. Signal Process., vol. 40, no. 6, pp. 1605-1610, Jun. 1992.
4. S. R. Powell and P. M. Chau, "Multiplierless FIR filters with discrete-value sigma-delta encoded coefficients" in Conf. Rec. Twenty-Fifth Asilomar Conf Signals, Syst., Comput., vol. 2, 1991, pp. 1010-1014.
5. S. R. Powell and P. M. Chau, "Efficient narrowband FIR and IFIR filters based on powers-of-two sigma-delta coefficient truncation," IEEE Trans. Circuits Syst. II, vol. 41, no. 8, pp. 497-505, Aug. 1994.
6. C. L. Chen and A. N. Willson, "Higher order ∑-δ modulation encoding for design of multiplierless FIR filters," Electron. Lett., vol. 34, no. 24, pp. 2298-2230, Nov. 1998.
7. J. J. Nielsen, "Design of linear-phase direct-form FIR digital filters with quantized coefficients using error spectrum shaping," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 7, pp. 1020-1026, Jul. 1989.
8. Y. C. Lim, S. R. Parker, and A. G. Constantinides, "Finite word length FIR filter design using integer programming over a discrete coefficient space," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-30, no. 4, pp. 661-664, Aug. 1982.
9. Y. C. Lim and S. R. Parker, "Discrete coefficient FIR digital filter design based upon an LMS criteria," IEEE Trans. Circuits Syst., vol. CAS-30, pp. 723-739, Oct. 1983.
10. W.-Y. Yan and K. L. Teo, "Optimal finite-precision approximation of FIR filters," Signal Process., vol. 82, pp. 1695-1705, 2002.
11. N. Benvenuto, L. Franks, and F. Hill Jr, "Dynamic programming methods for designing FIR filters using coefficients -1, 0, and +1," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, no. 4, pp. 785-792, Aug. 1986.
12. S. S. Rao and A. Ramasubrahmanyan, "Design of discrete coefficient FIR filters by simulated evolution," IEEE Signal Process. Lett., vol. 3, no. 5, pp. 137-140, May 1996.
13. G. Evangelista, "Least mean squared error-design of complex FIR filters with quantized coefficients," IEEE Trans. Circuits Syst. II, vol. 48, no. 8, pp. 778-784, Aug. 2001.
14. K. Nakayama, "A discrete optimization method for high-order FIR filters with finite wordlength coefficients," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-35, no. 8, pp. 1215-1217, Aug. 1987.
15. D. E. Quevedo, G. C. Goodwin, and J. A. De Doná, "Finite constraint set receding horizon control," Int. J. Robust Nonlin. Conte, vol. 14, no. 4, pp. 355-377, Mar. 2004.
16. J. M. Maciejowski, Predictive Control With Constraints. Englewood Cliffs, NJ: Prentice-Hall, 2002.
17. G. C. Goodwin, D. E. Quevedo, and D. McGrath, "Moving-horizon optimal quantizer for audio signals," J. Audio Eng. Soc., vol. 51, no. 3, pp. 138-149, Mar. 2003.