Solution and cost analysis of general multi-channel and multi-stage filtering circuits

Author

Kutay, M. Alper ; Ozaktas, Haluk ; Erden, M. Fatih ; Ozaktas, Haldun M. ; Arikan, Orhan

Author_Institution

Fac. of Eng., Bilkent Univ., Ankara, Turkey

fYear

1998

Firstpage

481

Lastpage

484

Abstract

The fractional Fourier domain multi-channel and multi-stage filtering configurations that have been previously proposed enable us to obtain either exact realizations or useful approximations of linear systems or matrix-vector products in many different applications. We discuss the solution and cost analysis for these configurations. It is shown that the problem can be reduced to a least squares problem which can be solved with fast iterative techniques

Keywords

Fourier analysis; channel bank filters; costing; digital filters; filtering theory; fractals; image restoration; iterative methods; least squares approximations; optical transfer function; approximations; cost analysis; digital signal processing; exact realizations; fast iterative techniques; fractional Fourier domain; general multi-channel filtering circuits; general multi-stage filtering circuits; image restoration; least squares problem; linear systems; matrix-vector products; mean-square estimation error; solution; space-varying local point spread function; Circuits; Convolution; Costs; Digital filters; Filtering; Fourier transforms; Least squares approximation; Linear systems; Nonlinear filters; Optical filters;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on

Conference_Location

Pittsburgh, PA

Print_ISBN

0-7803-5073-1

Type

conf

DOI

10.1109/TFSA.1998.721466

Filename

721466