Simple Method for Perfect Reconstruction QMF Filter Design

2022/10/27 by Fernando Martín Rodríguez, Martin-Rodriguez, Fernando, Fernando Isasi-de-Vicente +3
Computer Science · Mathematics · #Digital Filter Design and Implementation #FOS: Electrical engineering #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2210.15635

openalex publication_date 2022/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this work is the design of FIR QMF (Quadrature Mirror Filters) filters of perfect reconstruction and odd number of coefficients (even order). By design, these filters will have linear phase and integer delay. These filter pairs have many applications in wavelet transforms and other multi-frequency decompositions. Perfect reconstruction filters have been studied from long time ago but we still found publications about them.

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