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
More filters
TL;DR: In this article, Fourier transform techniques have been used to calculate the theoretical filter (amplitude) response function of Nth order vertical derivative continuation operation and the amplitude response functions of the vertical gradient and its continuation follow from the same.
Abstract: Fourier transform techniques have been used to calculate the theoretical filter (amplitude) response function of Nth order vertical derivative continuation operation. The amplitude response functions of the vertical gradient and its continuation follow from the same. These response functions are subsequently used to calculate the weighting coefficients suitable for two dimensional equispaced data. A shortening operator has been incorporated to limit the extent of the operator. For comparative study, some of the developed coefficient sets and the one presented in this paper are analysed in the frequency domain and their merits and demerits are discussed.
15 citations
17 May 2004
TL;DR: This paper proposes a methodology for obtaining and obtain variants of the discrete fractional cosine (sine) transform which share real-valuedness as well as most of the properties required for a fractional transform matrix.
Abstract: The unitarity property of transforms is useful in many applications (source compression, transmission, watermarking, to name a few). In many cases, when a transform is applied on real-valued data, it is very useful to obtain real-valued coefficients (i.e. a reality-preserving transform). In most applications, the decorrelation property of the transform is of importance and it would be very useful to control it under some transform parameter (e.g. in joint source-channel coding). This paper focuses on fractional transforms, as tools for obtaining such properties. We propose a methodology for obtaining them and obtain variants of the discrete fractional cosine (sine) transform which share real-valuedness as well as most of the properties required for a fractional transform matrix. As shown in (I. Venturini et al. IEEE Trans. Signal Proc.), such matrices cannot be symmetric.
15 citations
TL;DR: In this article, a set of fast real transforms including the well known Hartley transform is fully investigated and the mixed radix splitting properties of Hartley-type transforms are examined in detail.
15 citations
Proceedings Article•
01 Aug 2009
TL;DR: The digital implementation algorithms of the gyrator transform are discussed and many properties, such as the differential and dilation preservation properties, are discussed.
Abstract: The gyrator transform was introduced in recent years and useful for image processing. As the fractional Fourier transform, the gyrator transform can also be viewed as an extension of the Fourier analysis. In this paper, we discuss the digital implementation algorithms of the gyrator transform. We also discuss the eigenfunctions and the self-imaging phenomena of the gyrator transform. Many properties, such as the differential and dilation preservation properties, are also discussed. We also discuss the possible applications of the gyrator transform in filter design and signal sampling.
15 citations
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30 May 1994
TL;DR: A non-linear transform, called "Sign Haar Transform" has been introduced that converts binary/ternary vectors into ternary spectral domain and is extremely computationally effective both in terms of memory requirements and processing time.
Abstract: A non-linear transform, called "Sign Haar Transform" has been introduced. The transform is unique and converts binary/ternary vectors into ternary spectral domain. Recursive definitions and Fast Transforms for the calculation of Sign Haar Transform have been developed. The new transform is extremely computationally effective both in terms of memory requirements and processing time. >
15 citations