A new method to design Linear Phase FIR filter

A new very simple design approach to Linear Phase Finite Impulse Response (FIR) filters is discussed with the help of Legendre Polynomials with a special transform. This approach can be used to design a FIR filter with arbitrary characteristics and exact linear phase. Some design examples are discussed to illustrate the performance of the proposed method.

[1]  Chong-Yung Chi,et al.  A new WLS Chebyshev approximation method for the design of FIR digital filters with arbitrary complex frequency response , 1992, Signal Process..

[2]  Ivan W. Selesnick,et al.  Reweighted Least Squares Design of Fir Filters , 1992, The Digital Signal Processing workshop.

[3]  Wan Jiancheng,et al.  A novel and efficient finitely precise design of linear-phase FIR filters , 2002, 6th International Conference on Signal Processing, 2002..

[4]  Magdy Tawfik Hanna,et al.  Design of linear phase FIR filters with a maximally flat passband , 1996 .

[5]  Alexander Potchinkov Design of optimal linear phase FIR filters by a semi-infinite programming technique , 1997, Signal Process..

[6]  Vinay Kumar,et al.  Design of Chebyshev FIR filter based on antenna theory approach , 2007 .

[7]  James H. McClellan,et al.  Chebyshev digital FIR filter design , 1999, Signal Process..

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

[9]  Junn-Kuen Liang,et al.  Design of optimal Nyquist, partial response, Nth band, and nonuniform tap spacing FIR digital filters using linear programming techniques , 1985 .

[10]  S. Bhooshan,et al.  A Polynomial Approach Towards the Design of Linear Phase FIR Filters , 2006, 2006 IEEE International Conference on Industrial Technology.

[11]  L. Rabiner,et al.  A computer program for designing optimum FIR linear phase digital filters , 1973 .

[12]  Shing-Chow Chan,et al.  On the design of real and complex FIR filters with flatness and peak error constraints using semidefinite programming , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[13]  Chung-Ming Kuo,et al.  Efficient weighted least-squares algorithm for the design of FIR filters , 1997 .

[14]  Yong Ching Lim,et al.  A weighted least squares algorithm for quasi-equiripple FIR and IIR digital filter design , 1992, IEEE Trans. Signal Process..

[15]  P. K. Sadasivan,et al.  Use of finite wordlength FIR digital filter structures with improved magnitude and phase characteristics for reduction of muscle noise in EEG signals , 2006, Medical and Biological Engineering and Computing.

[16]  A. F. Kohn,et al.  Phase distortion in biological signal analysis caused by linear phase FIR filters , 1987, Medical and Biological Engineering and Computing.