Efficient realizations of two-dimensional quadratic digital filters

Author

Mertzios, Basil G. ; Sicuranza, Giovanni L. ; Venetsanopoulos, Anastasios N.

Author_Institution

Dept. of Electr. Eng., Democritus Univ. of Thrace, Xanthi, Greece

Volume

37

Issue

5

fYear

1989

fDate

5/1/1989 12:00:00 AM

Firstpage

765

Lastpage

768

Abstract

Realization structures of two-dimensional finite-support quadratic digital filters which are based on matrix decomposition are introduced. The resulting structures consist generally of a number of parallel branches which operate simultaneously and independently on a common input array. By proper decomposition of the coefficient matrix, each parallel branch can be realized by a two-dimensional finite impulse-response digital filter in cascade with a squaring operator. The lower-upper triangular decomposition and the singular value lower-upper decomposition is used in order to arrive at efficient structures with computational and hardware advantages.<>

Keywords

matrix algebra; two-dimensional digital filters; 2D quadratic digital filters; coefficient matrix; finite impulse-response digital filter; input array; lower-upper triangular decomposition; matrix decomposition; singular value lower-upper decomposition; squaring operator; Digital filters; Frequency; Matrix decomposition; Nonlinear filters; Power harmonic filters; Signal processing; Signal synthesis; Speech analysis; Speech processing;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.17572

Filename

17572