Title :
Frequency sampling design of 2-D quadrantally symmetric FIR filters by 2-D block decomposition technique
Author_Institution :
Res. Centre of Hellenic Navy (GETEN), Minist. of Defense, Athens, Greece
fDate :
5/1/1996 12:00:00 AM
Abstract :
In this brief, two approaches-a direct and a progressive-for the frequency-sampling design of 2-D quadrantally symmetric FIR filters using efficient and recursive algorithms are presented. Allowing the samples to be distributed on sampling curves with shapes similar to the isocontours of the desired filter response, the method is suitable for the design of circular, elliptical, rectangular, or directional FIR filters. The method is based on a 2-D block decomposition technique and it is well suited to parallel computation, since almost all the operations are matrix multiplications and/or matrix-vector products. The proposed approaches can be also applied for computing 2-D inverse cosine transforms and can be extended to m-D design problems
Keywords :
FIR filters; elliptic filters; matrix decomposition; network synthesis; two-dimensional digital filters; 2D block decomposition; 2D inverse cosine transforms; 2D quadrantally symmetric FIR filters; circular filters; directional filters; elliptical filters; frequency sampling design; matrix multiplications; matrix-vector products; parallel computation; rectangular filters; recursive algorithm; Algorithm design and analysis; Concurrent computing; Design methodology; Finite impulse response filter; Frequency response; Matrix decomposition; Sampling methods; Shape; Signal processing; Signal processing algorithms;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on