A unified framework for the least-squares design of linear-phase nonrecursive filters

Author

Ramachandran, Ravi P. ; Sunder, S.

Author_Institution

Dept. of Electr. Eng., Rutgers Univ., Piscataway, NJ, USA

fYear

1993

fDate

16-18 Aug 1993

Firstpage

480

Abstract

A method is described which can be used to design a wide class of nonrecursive linear-phase filters including those with arbitrary magnitude specifications and with time domain constraints. The approach is based on formulating the weighted mean-square error between the amplitude responses of the practical and ideal filters as a quadratic function. The filter coefficients are obtained by solving a set of linear equations. This method leads to a lower weighted mean-square error and is computationally more efficient than both the eigenfilter method and the method based on the Remez exchange algorithm. However, the main advantage of our method lies in its computational efficiency. Design examples of many different types of filters are provided

Keywords

delay circuits; digital filters; filtering theory; least mean squares methods; amplitude responses; arbitrary magnitude specifications; computational efficiency; filter coefficients; least-squares design; linear equations; linear-phase nonrecursive filters; quadratic function; time domain constraints; unified framework; weighted mean-square error; Algorithm design and analysis; Band pass filters; Computational efficiency; Equations; Frequency response; Linear systems; Minimax techniques; Nonlinear filters; Time domain analysis; Transformers;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1993., Proceedings of the 36th Midwest Symposium on

Conference_Location

Detroit, MI

Print_ISBN

0-7803-1760-2

Type

conf

DOI

10.1109/MWSCAS.1993.343016

Filename

343016