Spline polynomial approach for the design of quadrature mirror filters

Stanciu, Lucian; Stanciu, Cristian; Stanciu, Valentin

doi:10.1109/iccomm.2014.6866658

Cited by 3 publications

(1 citation statement)

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“…Numerically optimized quadrature mirror filters are not perfectly power complementary, and thus don't achieve perfect reconstruction, they provide good solution for the practical implementing systems [1], [2], [5], [6]. The reconstruction errors can be minimized by using spline functions.…”

Section: Introductionmentioning

confidence: 99%

Grouped B-spline functions for the design of Quadrature Mirror Filters

Stanciu

Anghel

2015

2015 International Symposium on Signals, Circuits and Systems (ISSCS)

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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 / 2    , which has led to the name quadrature mirror flters. 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. I.978-1-4673-7488-0/15/$31.00 ©2015 IEEE

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Section: Introductionmentioning

confidence: 99%