Topic
Hartley transform
About: Hartley transform is a research topic. Over the lifetime, 2709 publications have been published within this topic receiving 79944 citations.
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01 Aug 1990TL;DR: In this article, an uncertainty inequality for the Fourier transform on the Heisenberg group was shown to be equivalent to the classical uncertainty inequalities for the Euclidean Fourier transformation.
Abstract: We prove an uncertainty inequality for the Fourier transform on the Heisenberg group analogous to the classical uncertainty inequality for the Euclidean Fourier transform. Inequalities of similar form are obtained for the Hermite and Laguerre expansions.
17 citations
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04 Oct 1998TL;DR: A discrete two-dimensional Fourier transform based on quaternion (or hypercomplex) numbers allows colour images to be transformed as a whole, rather than as colour-separated components.
Abstract: A discrete two-dimensional Fourier transform based on quaternion (or hypercomplex) numbers allows colour images to be transformed as a whole, rather than as colour-separated components. The transform is reviewed and its basis functions presented with example images.
17 citations
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23 Nov 2006
TL;DR: This paper presents a probabilistic procedure that can be used to estimate the intensity of the response of the immune system to carbon monoxide poisoning.
Abstract: Thapar Institute of Engineering & Technology, Department of Electronics and Communication Engineering
17 citations
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TL;DR: The use of the Hartley transform (HT) in cepstrum analysis, as a substitute for the more commonly used Fourier transform (FT), is examined.
Abstract: The use of the Hartley transform (HT) in cepstrum analysis, as a substitute for the more commonly used Fourier transform (FT), is examined. With this substitution, the input to the cepstrum must be in the real domain only. The benefits of using the HT are approximately 50% less data memory required and approximately 40% faster program execution, at no loss in accuracy. >
17 citations
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TL;DR: A novel transform for spectral decomposition that uses regular square waves as the basis functions is presented and can act as a generalized frequency filter that only depends on the periodicity of the data.
Abstract: A novel transform for spectral decomposition that uses regular square waves as the basis functions is presented. The digital transform requires order N operations. The transform possesses unusually symmetry properties which may prove useful in many applications. In particular, it can act as a generalized frequency filter that only depends on the periodicity of the data. >
17 citations