Topic
Multiresolution analysis
About: Multiresolution analysis is a research topic. Over the lifetime, 4032 publications have been published within this topic receiving 140743 citations. The topic is also known as: Multiresolution analysis, MRA.
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TL;DR: A new method for locally adaptive histogram construction that doesn’t resort to a standard distribution and is easy to implement: the multiresolution histogram, based on aL2 analysis of the mean integrated squared error with Haar wavelets.
Abstract: We introduce a new method for locally adaptive histogram construction that doesn’t resort to a standard distribution and is easy to implement: the multiresolution histogram. It is based on aL 2 analysis of the mean integrated squared error with Haar wavelets and hence can be associated with a multiresolution analysis of the sample space.
23 citations
13 May 2002
TL;DR: By extending the previous multiresolution analysis framework for noise suppression and source identification, it is shown that it is feasible to achieve reasonable detection performance in low SNR scenarios.
Abstract: The problem of detecting transient signals of unknown waveforms has been widely studied in recent years due to the numerous applications associated with it. In particular, the detection of neural spikes using a recording array of closely spaced sensors in the brain is one such application. In this paper, we propose a new approach for solving this problem when no apriori knowledge is given about the signal and/or the noise processes. By extending our previous multiresolution analysis framework for noise suppression and source identification [1,2], we show that it is feasible to achieve reasonable detection performance in low SNR scenarios. Comparison to traditional detection schemes is presented and the overall performance is evaluated.
23 citations
TL;DR: In this paper, the effect of electric and magnetic node arrangement on the dispersion characteristics of the multiresolution time-domain (MRTD) technique is investigated, and it is shown that the introduction of wavelets does not result in an expected enhancement of resolution of an S-MRTD scheme, unless a certain arrangement of electric or magnetic field nodes is implemented.
Abstract: The effect of electric and magnetic node arrangement on the dispersion characteristics of the multiresolution time-domain (MRTD) technique is investigated. It is first noted that, by adopting multiresolution analysis principles, the dispersion behavior of an arbitrary order MRTD scheme can be extracted from the analysis of the corresponding S-MRTD scheme, which is based on scaling functions only. The introduction of one wavelet level is expected to bring about a refinement in the resolution of S-MRTD by a factor of two. However, this contradicts several dispersion analyses of MRTD schemes that have been recently presented in the literature. This conflict between theoretical predictions and numerical observations is resolved through the proof that the introduction of wavelets does not result in the expected enhancement of resolution of an S-MRTD scheme, unless a certain arrangement of electric and magnetic field nodes is implemented.
23 citations
01 Oct 2012
23 citations
TL;DR: An adaptive detection method for rail cracks is developed, which combines multiresolution analysis with an improved adaptive line enhancer (ALE) and has superior performance in enhancing the rail defect AE signal and reducing the strong background noise, offering an effective multiresolved approach for rail defect detection under high-speed and strong-noise condition.
23 citations