Topic
Biorthogonal system
About: Biorthogonal system is a research topic. Over the lifetime, 2190 publications have been published within this topic receiving 32209 citations.
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TL;DR: In this article, a family of biorthogonal interpolating wavelets has been applied to time-domain electromagnetic field modeling through the wavelet-Galerkin scheme, where scaling functions are the Deslauriers-Dubuc interpolating functions and wavelets are the shifted and contracted version of the scaling functions.
Abstract: A family of biorthogonal interpolating wavelets has been applied to time-domain electromagnetic field modeling through the wavelet-Galerkin scheme. The scaling functions are the Deslauriers-Dubuc interpolating functions and the wavelets are the shifted and contracted version of the scaling functions. This set of bases yields a simple algorithm for the solution of Maxwell's equations in time domain due to their interpolation properties. The derivation of the algorithm is presented in this paper, followed by a series of numerical verifications on some resonant structures.
39 citations
TL;DR: The novel LT's coding performance consistently surpasses that of the much more complex 9/7-tap biorthogonal wavelet with floating-point coefficients, and its block-based nature facilitates one-pass sequential block coding, region-of-interest coding/decoding, and parallel processing.
Abstract: This paper introduces a class of multiband linear phase-lapped biorthogonal transforms with fast, VLSI-friendly implementations via lifting steps called the LiftLT. The transform is based on a lattice structure that robustly enforces both linear phase and perfect reconstruction properties. The lattice coefficients are parameterized as a series of lifting steps, providing fast, efficient, in-place computation of the transform coefficients. The new transform is designed for applications in image and video coding. Compared to the popular 8/spl times/8 DCT, the 8/spl times/16 LiftLT only requires one more multiplication, 22 more additions, and six more shifting operations. However, image coding examples show that the LiftLT is far superior to the DCT in both objective and subjective coding performance. Thanks to properly designed overlapping basis functions, the LiftLT can completely eliminate annoying blocking artifacts. In fact, the novel LT's coding performance consistently surpasses that of the much more complex 9/7-tap biorthogonal wavelet with floating-point coefficients. More importantly, the transform's block-based nature facilitates one-pass sequential block coding, region-of-interest coding/decoding, and parallel processing.
39 citations
TL;DR: A comparative study of different wavelet families for analysis of wrist motions from electromyography (EMG) signals finds that 'Biorthogonal' and 'Coiflets' wavelets families are more suitable for accurate classification of EMG signals of different wrist motions.
39 citations
TL;DR: A simple and efficient parametrization technique is presented for constructing linear phase biorthogonal discrete-time wavelet bases that have joint timefrequency localization (JTFL) close to the lower bound of 0.25.
39 citations
02 Dec 1997
TL;DR: The use of the wavelet transform for noise reduction in noisy speech signals with different wavelets and different orders has been evaluated for their suitability as a transform for speech noise removal.
Abstract: This paper presents the use of the wavelet transform for noise reduction in noisy speech signals. The use of different wavelets and different orders have been evaluated for their suitability as a transform for speech noise removal. The wavelets evaluated are the biorthogonal wavelets, Daubechies wavelets, coiflets as well as symlets. Also two different means of filtering the noise in the transformed coefficients are presented. The first method is based on magnitude subtraction while the second method is based on the Wiener filter with a priori signal to noise ratio estimation.
39 citations