Title :
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
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;
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
DOI :
10.1109/TFSA.1998.721466
