A unified approach to multistage frequency-response masking filter design using the WLS technique

IEEE Transactions on Signal Processing

Volumn 54, Issue 9, 2006, Pages 3459-3466

  Lee, Wei Rong ^b   Caccetta, Lou ^b   Teo, Kok Lay ^a,b,c   Rehbock, Volker ^b  

^a IEEE

^b CURTIN UNIVERSITY   (Australia)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Alternating variable approach; Frequency response masking (FRM); Minimax error; Multistage; Weighted least squares (WLS)

Indexed keywords

ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; NATURAL FREQUENCIES; NUMERICAL METHODS;

ALTERNATING VARIABLE APPROACH; FREQUENCY RESPONSE MASKING (FRM); MINIMAX ERRORS; MULTISTAGE; WEIGHTED LEAST SQUARES (WLS);

FIR FILTERS;

EID: 33947152870     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.877652     Document Type: Article

References (25)

1. Y. C. Lim, "Frequency-response masking approach for the synthesis of sharp linear phase digital filter," IEEE Trans. Circuits Syst., vol. CAS-33, no. 4, pp. 357-364, Apr. 1986.
2. Y. C. Lim and Y. Lian, "The optimum design of one- and two-dimensional FIR filters using the frequency response masking technique," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 40, no. 2, pp. 88-95, Feb. 1993.
3. Y. C. Lim and S. H. Low, "Frequency-response masking approach for the synthesis of sharp two-dimensional diamond-shaped filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 45, no. 12, pp. 1573-1584, Dec. 1998.
4. T. Saramäki and A. T. Fam, "Subfilter approach for designing efficient FIR filters," Proc. 1988 Int. Symp. Circuits Systems (ISCAS), pp. 2903-2915, May 1988.
5. M. G. Bellanger, "Improved design of long FIR filters using the frequency masking technique," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), Atlanta, GA, May 1996, pp. 1272-1275.
6. Y. Lian, "A new frequency response masking structure with reduced complexity for FIR filter design," Proc. IEEE Int. Symp. Circuits and Systems (ISCAS) 2001, vol. II, pp. 609-612, May 2001.
7. _, "Reducing the complexity of the masking filter in a frequency-response masking approach," presented at the 3rd Int. Conf. Information, Communication, Signal Processing (ICICS), Singapore, Oct. 2001, 2E34.
8. _, "A modified frequency-response masking structure for high-speed FPGA implementation of sharp FIR filters," J. Circuits, Syst., Comput., vol. 12, no. 5, pp. 643-654, Oct. 2003.
9. _, "Complexity reduction for FRM-based FIR filters using the pre-filter-equalizer technique," Circuits, Syst. Signal Process., vol. 22, no. 2, pp. 137-155, Apr. 2003.
10. Y. Lian and Y. C. Lim, "Reducing the complexity of frequency-response masking filters using half band filters," Signal Process., vol. 42, no. 3, pp. 227-230, Mar. 1995.
11. Y. Lian and C. Z. Yang, "Complexity reduction by decoupling the masking filters from the bandedge shaping filter in the FRM technique," Circuits, Syst. Signal Process., vol. 22, no. 2, pp. 115-135, Apr. 2003.
12. Y. Lian, L. Zhang, and C. C. Ko, "An improved frequency response masking approach designing sharp FIR filters," Signal Process., vol. 81, pp. 2573-2581, Dec. 2001.
13. Y. C. Lim and Y. Lian, "Frequency response masking approach for digital filter design: complexity reduction via masking filter factorization," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 41, pp. 518-525, Aug. 1994.
14. T. Saramäki and J. Yli-Kaakinen, "Optimization of frequency-response masking based FIR filters with reduced complexity," Proc. IEEE Int. Syst. Circuits and Systems (ISCAS), vol. 3, pp. 26-29, May 2002.
15. R. Yang, B. Liu, and Y. C. Lim, "A new structure of sharp transition FIR filters using frequency-response masking," IEEE Trans. Circuits Syst., vol. CAS-35, pp. 955-966, Aug. 1988.
16. Y. Lian, L. Zhang, and C. C. Ko, "An improved frequency response masking approach designing sharp FIR filters," Signal Process., vol. 81, pp. 2573-2581, Dec. 2001.
17. T. Saramäki, "Design pf computationally efficient FIR filters using periodic subfilters as building blocks," in The Circuits and Filters Handbook, W. K. Chen, Ed. Boca Raton, FL: CRC Press, 1995, pp. 2578-2601.
18. T. Saramäki and H. Johansson, "Optimization of FIR filters using the frequency-response masking approach," Proc. IEEE Symp. Circuits Systems, vol. II, pp. 77-180, 2001.
19. Y. J. Yu, T. Saramäki, and Y. C. Lim, "An iterative method for optimizing FIR filters synthesized using the two-stage frequency-response masking technique," Proc. IEEE Int. Symp. Circuits and Systems (ISCAS), vol. III, pp. 874-877, 2003.
20. W.-S. Lu and T. Hinomoto, "Optimal design of frequency-response- masking filters using semidefinite programming," IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 50, no. 4, pp. 557-568, Apr. 2003.
21. W. R. Lee, V. Rehbock, K. L. Teo, and L. Caccetta, "A weighted least-square-based approach to FIR filter design using the frequency-response masking technique," IEEE Signal Processing Lett., vol. 11, no. 6, pp. 593-596, Jul. 2004.
22. Y. C. Lim, J. H. Lee, C. K. Chen, and R. H. Yang, "A weighted least squares algorithm for quasi-equiripple FIR and IIR digital filter design," IEEE Trans. Signal Process., vol. 40, no. 3, pp. 551-558, Mar. 1992.
23. T. W. Parks and J. H. McClellan, "Chebyshev approximation for non-recursive digital filters with linear phase," IEEE Trans. Circuit Theory, vol. CT-19, pp. 189-194, 1972.
24. L. R. Rabiner, "Linear programming design of finite impulse response (FIR) digital filter," IEEE Trans. Audio Electroacoust., vol. AU-20, pp. 280-288, 1972.
25. W. K. Nicholson, Linear Algebra with Applications. Toronto, ON, Canada: McGraw-Hill Ryerson, 2002.