Efficient fast design of three- and higher-dimensional FIR digital filters by analytical least squares method

Author

Pei, Soo-Chang ; Shyu, Jong-Jy

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

43

Issue

4

fYear

1996

fDate

4/1/1996 12:00:00 AM

Firstpage

339

Lastpage

344

Abstract

An effective method is proposed for designing three- and higher-dimensional FIR digital filters in this paper. The method is based on deriving the closed-form matrix called by the inverse frequency response transformation matrix, such that the filter´s coefficients can be computed directly from the given specifications without any iterative procedures and optimization techniques. Design examples are presented to demonstrate the flexibility and the efficiency of the method, and it is shown that even for filter lengths up to 21×21×21 only 0.4 s CPU time is needed

Keywords

FIR filters; frequency response; least squares approximations; multidimensional digital filters; FIR digital filters; analytical least squares method; closed-form matrix; filter lengths; inverse frequency response transformation matrix; Digital filters; Digital signal processing; Finite impulse response filter; Frequency response; Iterative methods; Least squares methods; Multidimensional signal processing; Optimization methods; Signal design; Signal processing;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.488289

Filename

488289