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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TL;DR: A multidimensional fast Hartley transform algorithm is described that successively applies 1D Fourier transforms to reduceundant operations to a minimum in the processing of real-valued data.
Abstract: In the processing of real-valued data, a purely real transform such as the Hartley transform is more desirable than the complex Fourier transform because it avoids unnecessary complex computations. This advantage is most significant in multidimensional transformations, where a large amount of data has to be processed. A multidimensional fast Hartley transform algorithm is described that successively applies 1D Fourier transforms. Redundant operations are reduced to a minimum. Special indexing schemes (parity operators) are introduced to avoid unscrambling procedures. >
19 citations
Dissertation•
01 Jan 2000
19 citations
Proceedings Article•
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TL;DR: The harmonic transform represents signals by the sum of a base tone and some harmonics, which may give more concise results for harmonic signals than the Fourier transform.
Abstract: The harmonic transform is designed for harmonic signals, which are composed of a base tone and some harmonics (e.g., voiced speech). As a generalization of the Fourier transform, the harmonic transform represents signals by the sum of a base tone and some harmonics, which may give more concise results for harmonic signals than the Fourier transform. Some experiments of speech signals are used to demonstrate the advantages of the harmonic transform on harmonic signal processing.
19 citations
TL;DR: A new method to generate optical Hartley transform for 2D real images is proposed, based on polarization encoding of the coherent optical beam, and different coherent optical image processing techniques are discussed.
19 citations
19 citations