Topic
Hartley transform
About: Hartley transform is a research topic. Over the lifetime, 2709 publications have been published within this topic receiving 79944 citations.
Papers published on a yearly basis
Papers
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TL;DR: A new complete and convergent set of invariant features under planar similarities is proposed using the Analytical Fourier-Mellin Transform (AFMT), which gives a distance between the shapes which is invariant under similarities.
131 citations
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TL;DR: In this article, the authors give a criterion for the intersection of two projections in Hilbert space to be a projection of finite-dimensional range, which is applied to Schrodinger operators in L2(Rn) and to the problem of determining whether there are functions f and its Fourier transform having prescribed support.
131 citations
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TL;DR: In this article, the application of the fractional Fourier transform to optical propagation problems is discussed, and the conceptual and practical advantages of this new formulation are noted, as well as the theoretical advantages of the new formulation.
Abstract: The application of the fractional Fourier transform to optical propagation problems is discussed. As illustrative examples, diffraction in a free medium as well as propagation through optical fibres are analysed with the fractional Fourier transform formalism. The conceptual and practical advantages of this new formulation are noted.
129 citations
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TL;DR: The wavelet transform, which has had a growing importance in signal and image processing, has been generalized by association with both the wavelettransform and the fractional Fourier transform.
Abstract: The wavelet transform, which has had a growing importance in signal and image processing, has been generalized by association with both the wavelet transform and the fractional Fourier transform. Possible implementations of the new transformation are in image compression, image transmission, transient signal processing, etc. Computer simulations demonstrate the abilities of the novel transform. Optical implementation of this transform is briefly discussed.
128 citations
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TL;DR: It is hoped that this implementation and fixed-point error analysis will lead to a better understanding of the issues involved in finite register length implementation of the discrete fractional Fourier transform and will help the signal processing community make better use of the transform.
128 citations