Least squared error FIR filter design with spline transition functions

Author

Burrus, C.S. ; Soewito, A.W. ; Gopinath, R.A.

Author_Institution

Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA

fYear

1990

fDate

3-6 Apr 1990

Firstpage

1305

Abstract

The authors propose the use of transition bands and transition functions in the ideal amplitude frequency response of a linear finite impulse response phase (FIR) digital filter to allow the analytical design of optimal least integral squared error filters with an explicit control of the transition band edges. Design formulas for approximations to ideal frequency responses which use a pth-order spline transition function are derived and analyzed. A variable-order spline is used with a method for optimally choosing the order. The results of this method are compared with those of other optimal methods

Keywords

digital filters; frequency response; least squares approximations; splines (mathematics); FIR filter design; amplitude frequency response; approximations; digital filter; ideal frequency responses; linear finite impulse response phase; optimal least integral squared error filters; spline transition functions; transition bands; variable-order spline; Chebyshev approximation; Computer errors; Digital filters; Error correction; Finite impulse response filter; Fourier transforms; Frequency response; Integral equations; Nonlinear filters; Optimal control; Spline;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on

Conference_Location

Albuquerque, NM

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1990.115612

Filename

115612