Journal ArticleDOI
Analytical optimization of CQF filter banks
Vitor Silva,L. de Sa +1 more
TLDR
Using parametrizations of the prototype filter coefficients, it was found that the optimal filter is the regular Daubechies D/sub 2/ wavelet filter.Abstract:
The optimization of subband filter banks for signal and image coding is normally dealt with by numerical means. It is shown that this optimization can be done analytically in the case of the prototype four-tap causal conjugate quadrature filter (CQF). The coding gain and aliasing energy are considered in the optimization. Using parametrizations of the prototype filter coefficients, it was found that the optimal filter is the regular Daubechies D/sub 2/ wavelet filter.read more
Citations
More filters
Journal ArticleDOI
Theory and design of optimum FIR compaction filters
A. Kirac,P.P. Vaidyanathan +1 more
TL;DR: This work gives an analytical solution for the compaction filter that is characterized by its zeros on the unit circle that corresponds to the optimal two-channel FIR filter bank that maximizes the coding gain under the traditional quantization noise assumptions.
Journal ArticleDOI
An efficient algorithm to design weighted minimax perfect reconstruction quadrature mirror filter banks
Chee-Kiang Coh,Yong Ching Lim +1 more
TL;DR: An efficient algorithm is presented to design lattice structure two-channel perfect reconstruction quadrature mirror filter (PR-QMF) banks that optimizes the lattice coefficients and provides flexible control of the filters' stopband ripple profiles.
Journal ArticleDOI
Designing quadrature mirror filter banks using steepest descent method
TL;DR: A new technique for the design of quadrature mirror filter (QMF) banks by exploiting steepest descent method and shows that the proposed method gives a comparable performance to the already existing methods.
Proceedings ArticleDOI
An efficient algorithm to design weighted minimax perfect reconstruction quadrature mirror filters
Chee-Kiang Goh,Yong Ching Lim +1 more
TL;DR: In this paper, an iterative algorithm was proposed to design lattice-type perfect reconstruction quadrature mirror filters (PR-QMF) banks, with flexible control of the filters' stop-band ripple profiles.
Patent
Multiscale wireless communication
TL;DR: In this article, the modulating wavelet is matched to a specific channel condition, and based on their parameterization a wavelet was selected that best characterizes the wireless channel conditions.
References
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Book
Ten lectures on wavelets
TL;DR: This paper presents a meta-analyses of the wavelet transforms of Coxeter’s inequality and its applications to multiresolutional analysis and orthonormal bases.
Journal ArticleDOI
Ten Lectures on Wavelets
TL;DR: In this article, the regularity of compactly supported wavelets and symmetry of wavelet bases are discussed. But the authors focus on the orthonormal bases of wavelets, rather than the continuous wavelet transform.
Journal ArticleDOI
Orthonormal bases of compactly supported wavelets
TL;DR: This work construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity, by reviewing the concept of multiresolution analysis as well as several algorithms in vision decomposition and reconstruction.
Book
Multirate Systems and Filter Banks
TL;DR: In this paper, a review of Discrete-Time Multi-Input Multi-Output (DIMO) and Linear Phase Perfect Reconstruction (QLP) QMF banks is presented.
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New technique for designing nearly orthogonal wavelet filter banks with linear phase
Y. Zhao,M.N.S. Swamy +1 more