Title :
A novel method for modeling 2-D FIR digital filters in frequency domain with nonuniform samples
Author_Institution :
Minist. of Defense, Res. Centre of Hellenic Navy (GETN), Holargos, Greece
fDate :
7/1/1994 12:00:00 AM
Abstract :
Two approaches-a direct and a progressive-for the design of a class of 2-D FIR digital filters in the frequency domain using Kronecker products and a new class of 2-D Newton-type polynomials are presented. The sample grid under consideration is described by the `product representation´ {ωx1,ωWx2,...,ω xm}×{ωy1,ωWy2 ,...,ωy n}, where the frequencies ωx , and ωy are not necessarily uniformly spaced. Attractive features of the proposed method are: a) the reduction of the 2-D design problem to 1-D formulas; b) the existence and uniqueness of the solution; c) the capability of using real number arithmetic; d) the stability in ill-conditioned cases and the the inherent parallelism. The method can also be extended to m-d filters
Keywords :
filtering and prediction theory; frequency-domain analysis; frequency-domain synthesis; interpolation; polynomials; stability; two-dimensional digital filters; 2D FIR digital filters; 2D Newton-type polynomials; Kronecker products; design method; frequency domain modelling; inherent parallelism; m-d filters; nonuniform samples; real number arithmetic; stability; Algorithm design and analysis; Chebyshev approximation; Circuits; Digital filters; Finite impulse response filter; Frequency domain analysis; HDTV; Interpolation; Minimax techniques; Polynomials;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
