A weighted L/sub 2/ based method for the design of arbitrary one dimensional FIR digital filters
Emmanouil Ζ. Psarakis · 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03). · 2004
FIR filters obtained with classical L/sub 2/ methods have performance that is very sensitive to the form of the ideal response selected for the transition region. This is because, usually, filter specifications do not constrain in any way the ideal frequency response inside this region. In this paper we propose a new general method for the weighted L/sub 2/ based design of arbitrary FIR filters. In particular we propose a well defined optimization criterion that depends on the selection of the desired response inside the transition regions. By optimizing our criterion we obtain desired responses that produce weighted mean square error optimum filters with extremely good characteristics. The proposed method is computationally simple since it requires the solution of a linear system of equations.