Topic
Binomial QMF
About: Binomial QMF is a research topic. Over the lifetime, 2 publications have been published within this topic receiving 97 citations.
Papers
TL;DR: A class of orthogonal binomial filters that provide basis functions for a perfect reconstruction bank of finite impulse response QMF’s that are efficient, simple to implement on VLSI, and suitable for multiresolution signal decomposition and coding applications are described.
Abstract: Perfect reconstruction quadrature mirror filters (PR QMF’s) have been proposed as structures suitable for hierarchical subband coding [ ll-[4], and also for multiresolution signal decomposition as might be used in image pyramid coding [5]. More recently, multiresolution signal decomposition methods are being examined from the standpoint of the discrete wavelet transform for continuous-time signals [6]-[8]. In this paper, we describe a class of orthogonal binomial filters that provide basis functions for a perfect reconstruction bank of finite impulse response QMF’s. The orthonormal wavelet filters derived by Daubechies 171 from a discrete wavelet transform approach are shown to be the same as the solutions inherent in the binomial-based filters. The energy compaction performance of the binomial QMF decomposition is computed and shown to be better than the DCT for the Markov source models, as well as real-world images considered. The proposed binomial structure is efficient, simple to implement on VLSI, and suitable for multiresolution signal decomposition and coding applications.
86 citations
1 Sep 1990
TL;DR: In this paper, a class of orthogonal binomial filters which provide a set of basis functions for a bank of perfect reconstruction Finite Impulse Response Quadrature Mirror Filters (FIR-QMF) is described.
Abstract: This paper describes a class of orthogonal binomial filters which provide a set of basis functions for a bank of perfect reconstruction Finite Impulse Response Quadrature Mirror Filters (FIR-QMF). These Binomial QMFs are shown to be the same filters as those derived from a discrete orthonormal wavelet approach by Daubechies [13]. The proposed filters can be implemented very efficiently with output scaling but otherwise no multiply operations. The cornpaction performance of the proposed signal decomposition technique is computed and shown to be better than that of the DCT for the AR(1) signal models and also for standard test images.© (1990) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
25 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 1993 | 1 |
| 1990 | 1 |