Title :
Grouped B-spline functions for the design of Quadrature Mirror Filters
Author :
Stanciu, Lucian ; Stanciu, Valentin ; Anghel, Cristian
Author_Institution :
Dept. of Telecommun., Univ. Politeh. of Bucharest, Bucharest, Romania
Abstract :
The design of two channel Quadrature Mirror Filter (QMF) banks is considered with constraints on the peaks of the reconstruction error and that of the subband filter ripple sizes. In this paper a design method of the optimum quadrature mirror filters (QMF), by using grouped B-spline functions in each transition band, is presented. It was shown that linear phase FIR filters cannot exactly satisfy the condition that the squared amplitude frequency responses are mirror images of each other about the line ω = π / 2, which has led to the name quadrature mirror filters. It is important to have a flat frequency response for the filters. The solution is to approximate the response of each frequency band by using grouped B-spline functions, that insures continuous superior order derivatives.
Keywords :
FIR filters; frequency response; linear phase filters; quadrature mirror filters; splines (mathematics); QMF bank; continuous superior order derivative; finite impulse response filter; frequency response; grouped B-spline function; linear phase FIR filter; quadrature mirror filter design; reconstruction error; subband filter ripple; transition band; Approximation methods; Filter banks; Finite impulse response filters; Frequency response; Mirrors; Splines (mathematics);
Conference_Titel :
Signals, Circuits and Systems (ISSCS), 2015 International Symposium on
Conference_Location :
Iasi
Print_ISBN :
978-1-4673-7487-3
DOI :
10.1109/ISSCS.2015.7203932
