Online Estimation of Minimum Sizes of 2-D FIR Frequency-Selective Filters With Magnitude Constraints

Author

Lai, Xiaoping

Author_Institution

Hangzhou Dianzi Univ., Hangzhou

Volume

15

fYear

2008

fDate

6/30/1905 12:00:00 AM

Firstpage

135

Lastpage

138

Abstract

It is often required to estimate the minimum sizes of 2D finite-impulse response (FIR) filters with magnitude constraints in filter design tasks. Complete exploring of estimation formulas is difficult because of infinite number of possible frequency response (FR) geometries in 2D filters. Instead, this letter presents an online procedure that rapidly estimates the minimum size for given FR specifications. The procedure is based on two interesting experimental observations on the logarithmic mean square normalized magnitude error of least-square filters. Applications to frequency-selective filters with different FR specifications demonstrate the effectiveness and efficiency of the procedure.

Keywords

FIR filters; frequency response; least squares approximations; mean square error methods; 2D FIR frequency-selective filters; 2D filters; 2D finite-impulse response filters; frequency response geometries; least-square filters; logarithmic mean square normalized magnitude error; magnitude constraints; Digital filters; Finite impulse response filter; Frequency estimation; Frequency response; Geometry; Minimax techniques; Nonlinear filters; Passband; Signal processing; Stability; 2-D FIR filter; least-square; mean-square normalized error;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2007.911755

Filename

4418397