Particle Swarm Optimization of Highly Selective Digital Filters over the Finite-Precision Multiplier Coefficient Space

Digital filters find wide variety of applications in modern di gital signal processing systems [ 1, 2]. As a result of the recent progress in such systems, there is an ev er growing demand for sharp transition band digital filters. These narrow transition bandwidth dig ital filters are usually designed by using the frequency response masking (FRM) approach [ 3]. The computational efficiency of the FRM technique makes it suitable for different applications, e.g. in audio signal processing and data compression [ 4].

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

[2]  Miroslav D. Lutovac,et al.  IIR filters based on frequency-response masking approach , 2001, 5th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Service. TELSIKS 2001. Proceedings of Papers (Cat. No.01EX517).

[3]  Bing Lam Luk,et al.  Digital IIR Filter Design Using Adaptive Simulated Annealing , 2001, Digit. Signal Process..

[4]  A. N. Willson,et al.  Insights into digital filters made as the sum of two allpass functions , 1995 .

[5]  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..

[6]  Behrouz Nowrouzian,et al.  DCGA optimization of lowpass FRM IIR digital filters over CSD multiplier coefficient space , 2009, 2009 52nd IEEE International Midwest Symposium on Circuits and Systems.

[7]  B. Nowrouzian,et al.  Optimization of FIR digital filters over the canonical signed-digit coefficient space using genetic algorithms , 1998, 1998 Midwest Symposium on Circuits and Systems (Cat. No. 98CB36268).

[8]  Seyyed Ali Hashemi,et al.  A novel technique for DCGA optimization of guaranteed BIBO stable IIR-based FRM digital filters over the CSD multiplier coefficient space , 2010, Proceedings of 2010 IEEE International Symposium on Circuits and Systems.

[9]  Seyyed Ali Hashemi,et al.  A novel finite-wordlength particle swarm optimization technique for FRM IIR digital filters , 2011, 2011 IEEE International Symposium of Circuits and Systems (ISCAS).

[10]  Håkan Johansson,et al.  High-speed recursive filtering using the frequency-response masking approach , 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

[11]  Wenbo Xu,et al.  A Quantum-Behaved Particle Swarm Optimization With Diversity-Guided Mutation for the Design of Two-Dimensional IIR Digital Filters , 2010, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  R. Storn Designing nonstandard filters with differential evolution , 2005, IEEE Signal Process. Mag..

[13]  Miroslav D. Lutovac,et al.  Elliptic filters with minimal Q-factors , 1994 .

[14]  Kim-Fung Man,et al.  Design and optimization of IIR filter structure using hierarchical genetic algorithms , 1998, IEEE Trans. Ind. Electron..

[15]  Andries Petrus Engelbrecht,et al.  A Cooperative approach to particle swarm optimization , 2004, IEEE Transactions on Evolutionary Computation.

[16]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[17]  Tapio Saramäki,et al.  Use of the Remez algorithm for designing FIR filters utilizing the frequency-response masking approach , 1999, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349).

[18]  A. Ayatollahi,et al.  FIR Digital Filters Design: Particle Swarm Optimization Utilizing LMS and Minimax Strategies , 2008, 2008 IEEE International Symposium on Signal Processing and Information Technology.

[19]  Patrick Mercier,et al.  Optimization of FRM FIR Digital Filters Over CSD and CDBNS Multiplier Coefficient Spaces Employing a Novel Genetic Algorithm , 2007, J. Comput..

[20]  B. Nowrouzian,et al.  A novel approach to the exact design of LDI symmetrical digital and switched-capacitor filters , 1990, Proceedings of the 33rd Midwest Symposium on Circuits and Systems.

[21]  Rui Yang,et al.  Design of sharp linear-phase FIR bandstop filters using the frequency-response-masking technique , 1998 .

[22]  Miroslav D. Lutovac,et al.  Design of multiplierless elliptic IIR filters with a small quantization error , 1999, IEEE Trans. Signal Process..

[23]  Ganesh K. Venayagamoorthy,et al.  Particle Swarm Optimization with Quantum Infusion for the design of digital filters , 2008, 2008 IEEE Swarm Intelligence Symposium.

[24]  Andreas Antoniou,et al.  Digital Filters: Analysis, Design and Applications , 1979 .

[25]  Seyyed Ali Hashemi,et al.  A Novel Discrete Particle Swarm Optimization for FRM FIR Digital Filters , 2012, J. Comput..

[26]  R. Hartley Subexpression sharing in filters using canonic signed digit multipliers , 1996 .

[27]  Young Hwan Lim A digital filter bank for digital audio systems , 1986 .

[28]  Miroslav D. Lutovac,et al.  Design of computationally efficient elliptic IIR filters with a reduced number of shift-and-add operations in multipliers , 1997, IEEE Trans. Signal Process..

[29]  B. Nowrouzian,et al.  Minimal multiplier realisation of bilinear-LDI digital allpass networks , 1989 .

[30]  Yong Ching Lim,et al.  Signed power-of-two term allocation scheme for the design of digital filters , 1999 .

[31]  Adam Slowik,et al.  Design and Optimization of IIR Digital Filters with Non-Standard Characteristics Using Particle Swarm Optimization Algorithm , 2007, 2007 14th IEEE International Conference on Electronics, Circuits and Systems.

[32]  Dervis Karaboga,et al.  Designing digital IIR filters using ant colony optimisation algorithm , 2004, Eng. Appl. Artif. Intell..

[33]  Chaohua Dai,et al.  Seeker Optimization Algorithm for Optimal Reactive Power Dispatch , 2009, IEEE Transactions on Power Systems.

[34]  Chaohua Dai,et al.  Seeker Optimization Algorithm for Digital IIR Filter Design , 2010, IEEE Transactions on Industrial Electronics.

[35]  D. R. Wilson,et al.  The Design and Application of Digital Filters , 1973, IEEE Transactions on Industrial Electronics and Control Instrumentation.

[36]  Seyyed Ali Hashemi,et al.  Particle swarm optimization of FRM FIR digital filters over the CSD multiplier coefficient space , 2010, 2010 53rd IEEE International Midwest Symposium on Circuits and Systems.

[37]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[38]  N. Karaboga,et al.  A new method for adaptive IIR filter design based on tabu search algorithm , 2005 .

[39]  Van Valkenburg,et al.  Introduction to Modern Network Synthesis , 1960 .

[40]  Nurhan Karaboga,et al.  Digital IIR Filter Design Using Differential Evolution Algorithm , 2005, EURASIP J. Adv. Signal Process..

[41]  P. P. Vaidyanathan,et al.  Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial , 1990, Proc. IEEE.

[42]  J. McClellan,et al.  Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase , 1972 .

[43]  Ronald E Crochiere Digital network theory and its application to the analysis and design of digital filters. , 1974 .

[44]  Nurhan Karaboga,et al.  Artificial immune algorithm for IIR filter design , 2005, Eng. Appl. Artif. Intell..

[45]  Yong Ching Lim,et al.  FRM based FIR filter design - the WLS approach , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[46]  Yong Lian,et al.  Hybrid Genetic Algorithm for the Design of Modified Frequency-Response Masking Filters in a Discrete Space , 2006 .

[47]  A. Constantinides,et al.  Finite word length FIR filter design using integer programming over a discrete coefficient space , 1982 .