Title :
Design of 2-D Mth Band Lowpass FIR Eigenfilters With Symmetries
Author :
Patwardhan, Pushkar G. ; Gadre, Vikram M.
Author_Institution :
Indian Inst. of Technol., Bombay
Abstract :
In this letter, we extend the eigenfllter filter design method for the design of two-dimensional Mth band lowpass filters, with the filter impulse response having quadrantal or diagonal symmetry. We show that imposing the Mth band and symmetry constraints puts restrictions on the possible choices of the matrix M. We identify sufficient conditions on M, and show a class of matrices satisfying those conditions, so that Mth band lowpass filters with quadrantal or diagonal symmetry can be designed.
Keywords :
FIR filters; band-pass filters; low-pass filters; 2D Mth band lowpass FIR eigenfilters; diagonal symmetry; eigenfllter filter design; filter impulse response; multidimensional finite impulse response; quadrantal symmetry; symmetry constraints; Design methodology; Finite impulse response filter; Frequency response; Helium; Lattices; Multidimensional systems; Passband; Sufficient conditions; Symmetric matrices; Two dimensional displays; Eigenfilters; multidimensional finite impulse response (FIR) filter; two-dimensional (2-D) $mmb M$th band filters;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2007.891322
