Improved Design of Frequency-Response Masking Filters Using Band-Edge Shaping Filter With Non-Periodical Frequency Response

Frequency-Response Masking (FRM) technique has been widely used in all kinds of applications where FIR filters with extremely narrow transition band are needed. Thus, researchers have invested much effort to find ways to increase the efficiency of the FRM algorithm. In this paper, a novel 2-stage FRM structure was proposed. The three interpolation factors of the subfilters in the second stage can be chosen independently. The band-edge shaping filter synthesized by the second stage has a non-periodical frequency response, which is quite different from conventional FRM structures. Various filters were designed to test the performance of the proposed method. Experiments show that the proposed structure achieves lower complexity, in terms of the number of multipliers, compared to the FRM algorithms such as 1-stage FRM, 2-stage FRM, IFIR-FRM, SFFM-FRM, serial-masking FRM and some current FRM structures.

[1]  Yong Lian,et al.  Frequency-response masking approach for digital filter design: complexity reduction via masking filter factorization , 1994 .

[2]  Lei Zhang,et al.  An improved frequency response masking approach for designing sharp FIR filters , 2001, Signal Process..

[3]  Yong Lian,et al.  Complexity reduction for frequency-response masking filters using cyclotomic polynomial prefilters , 2006, 2006 IEEE International Symposium on Circuits and Systems.

[4]  Yong Lian.  A new frequency-response masking structure with reduced complexity for FIR filter design , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[5]  Yong Lian,et al.  New Structures for Single Filter Based Frequency-Response Masking Approach , 2006, APCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems.

[6]  Takao Hinamoto,et al.  Optimal design of frequency-response-masking filters using semidefinite programming , 2003 .

[7]  Takao Hinamoto,et al.  Improved design of frequency-response-masking filters using enhanced sequential quadratic programming , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[8]  Ying Wei,et al.  Frequency-Response Masking Filters Based on Serial Masking Schemes , 2010, Circuits Syst. Signal Process..

[9]  Jrg Kaiser,et al.  Nonrecursive digital filter design using the I-sinh window function , 1977 .

[10]  Chi Chung Ko,et al.  A NEW APPROACH FOR DESIGN SHARP FIR FILTERS USING FREQUENCY RESPONSE MASKING TECHNIQUE , 2000 .

[11]  Tapio Saramäki,et al.  An Efficient Algorithm for the Optimization of FIR Filters Synthesized Using the Multistage Frequency-Response Masking Approach , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[12]  Kok Lay Teo,et al.  A weighted least squares approach to the design of FIR filters synthesized using the modified frequency response masking structure , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[13]  Zhiping Lin,et al.  Optimal Design of Frequency-Response Masking Filters With Reduced Group Delays , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[14]  Kok Lay Teo,et al.  A weighted least-square-based approach to FIR filter design using the frequency-response masking technique , 2004, IEEE Signal Processing Letters.

[15]  Yong Ching Lim,et al.  Genetic algorithm approach for the optimization of multiplierless sub-filters generated by the frequency-response masking technique , 2002, 9th International Conference on Electronics, Circuits and Systems.

[16]  Yong Ching Lim,et al.  Low complexity frequency-response masking filters using modified structure based on serial masking , 2011, 2011 19th European Signal Processing Conference.

[17]  Tapio Saramäki,et al.  Optimization of FIR filters using the frequency-response masking approach , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[18]  Yong Lian,et al.  A modified structure for the design of sharp FIR filters using frequency response masking technique , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[19]  Yong Lian,et al.  The optimum design of one- and two-dimensional FIR filters using the frequency response masking technique , 1993 .

[20]  Yong Ching Lim,et al.  Frequency-response masking approach for the synthesis of sharp linear phase digital filters , 1986 .

[21]  Takao Hinamoto,et al.  Optimal design of FIR frequency-response-masking filters using second-order cone programming , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..