A Weighted Least Squares Approach to the Design of FIR Filters Synthesized Using the Modified Frequency Response Masking Structure

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 53, Issue 5, 2006, Pages 379-383

  Lee, W R ^a   Caccetta, L ^a   Teo, K L ^a   Rehbock, V ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

alternating variable approach; error; Frequency response masking (FRM); minimax; weighted least squares (WLS)

Indexed keywords

DESIGN FOR TESTABILITY; FREQUENCY RESPONSE; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; LINEAR NETWORK SYNTHESIS; LOW PASS FILTERS; MASKS;

FREQUENCY RESPONSE MASKING; MINIMAX ERROR; WEIGHTED LEAST SQUARES;

FIR FILTERS;

EID: 33646873469     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2005.862282     Document Type: Article

References (22)

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 Y. C. Lim, “Use of the Remez algorithm for designing FRM based FIR filters,” Circuits, Syst. Signal Process., vol. 22, no. 2, pp. 77–97, Apr. 2003.
5. M. G. Bellanger, “Improved design of long FIR filters using the frequency masking technique,” in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Atlanta, GA, May 1996, pp. 1272–1275.
6. Y. Lian, “A new frequency response masking structure with reduced complexity for FIR filter design,” in Proc. IEEE Int. Symp. Circuits Syst., vol. II, Sydney, NSW, Australia, May 2001, pp. 609–612.
7. Y. Lian, “Reducing the complexity of the masking filter in a frequency-response masking approach,” in Proc. 3rd Int. Conf. Inf., Commun., Signal Process., Singapore, Oct. 2001.
8. Y. Lian, “A modified frequency-response masking structure for high-speed FPGA implementation of sharp FIR filters,” J. Circuits Syst. Comp., vol. 12, no. 5, pp. 643–654, Oct. 2003.
9. Y. Lian, “Complexity reduction for FRM-based FIR filters using the prefilter-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 Proces., 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, no. 8, pp. 518–525, Aug. 1994.
14. T. Saramäki and J. Yli-Kaakinen, “Optimization of frequency-response masking based FIR filters with reduced complexity,” in Proc. IEEE Int. Symp. Circuits Syst., vol. III, Phoenix, AZ, May 2002, pp. 225–228.
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, no. 8, pp. 955–966, Aug. 1988.
16. L. Zhang, Y. Lian, and C. C. Ko, “A new approach for designing sharp FIR filters using frequency-response masking technique,” Proc. 9th IEEE DSP Workshop, Oct. 2000.
17. Y. Neuvo, C. Y. Dong, and S. K. Mitra, “Interpolated finite impulse response filters,” IEEE Trans. Acoust. Speech, Signal Process, vol. ASSP-32, no. 3, pp. 563–570, Jun. 1984.
18. J. Cabezas and P. Diniz, “FIR filters using interpolated prefilters and equalizers,” IEEE Trans. Circuits Syst., vol. 37, no. 1, pp. 17–23, Jan. 1990.
19. T. Saramäki, Y. Neuvo, and S. K. Mitra, “Design of computationally efficient interpolated FIR filters,” IEEE Trans. Circuits Syst., vol. 35, no. 1, pp. 70–88, Jan. 1988.
20. T. Saramäki and H. Johansson, “Optimization of FIR filters using the frequency-response masking approach,” in Proc. IEEE Int. Symp. Circuits Syst., vol. II, Sydney, NSW, Australia, May 2001, pp. 177–180.
21. Y. J. Yu and Y. C. Lim, “FRM based FIR filter design—The WLS approach,” in Proc. IEEE Int. Symp. Circuits Syst., vol. II, Phoenix, AZ, May 2002, pp. 221–224.
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 Proces., vol. 40, no. 3, pp. 551–558, Mar. 1992.