A design technique for 2-D linear-phase frequency-sampling filters with fourfold symmetry

Author

Stubberud, Peter A.

Author_Institution

Dept. of Electr. & Comput. Eng., Nevada Univ., Las Vegas, NV, USA

Volume

46

Issue

9

fYear

1999

fDate

9/1/1999 12:00:00 AM

Firstpage

1253

Lastpage

1259

Abstract

A two-dimensional (2-D) frequency-sampling filter approximates a desired frequency response by interpolating a frequency response through set frequency samples which are samples taken from the filter´s frequency response. In this brief, a technique for designing 2-D Type 1-1, Type 1-2, Type 2-1, and Type 2-2 frequency-sampling filters that have real impulse responses, linear phase, and fourfold symmetry is developed that controls interpolation errors and approximates a desired frequency response by minimizing a weighted mean-square error over the passbands and stopbands subject to constraints on the filter´s amplitude response

Keywords

frequency response; interpolation; linear phase filters; mean square error methods; network synthesis; signal sampling; symmetry; two-dimensional digital filters; amplitude response; design; frequency response; impulse response; interpolation; mean square error; symmetry; two-dimensional linear-phase frequency-sampling filter; Circuits; Digital filters; Error correction; Finite impulse response filter; Frequency response; Interpolation; Multidimensional systems; Nonlinear filters; Passband; Two dimensional displays;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.793718

Filename

793718