scispace - formally typeset
Search or ask a question
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
More filters
Journal ArticleDOI
01 Dec 1969-Nature
TL;DR: In this article, Walsh functions are used in transform Spectroscopy to replace the sinusoidal functions appearing in the Fourier transform, and they take only the values + 1 and − 1 and are therefore suitable for the binary digital computer.
Abstract: THIS article suggests that Walsh functions1–3 might be used in transform Spectroscopy4–6 to replace the sinusoidal functions appearing in the Fourier transform. We think this might be the case because Walsh functions are a complete orthonormal set, and therefore give rise to an integral transform of Fourier type; and they take only the values + 1 and − 1 and are therefore likely to be well suited to the binary digital computer.

23 citations

Journal ArticleDOI
TL;DR: This work reconsiders the continuous curvelet transform from a signal processing point of view and shows that the analyzing elements of the curvelets can be understood as analytic signals in the sense of the partial Hilbert transform, which yields a well-interpretable amplitude/phase decomposition of the transform coefficients over all scales.
Abstract: We reconsider the continuous curvelet transform from a signal processing point of view. We show that the analyzing elements of the curvelet transform, the curvelets, can be understood as analytic signals in the sense of the partial Hilbert transform. We then generalize the usual curvelets by the monogenic curvelets, which are analytic signals in the sense of the Riesz transform. They yield a new transform, called the monogenic curvelet transform. This transform has the useful property that it behaves at the fine scales like the usual curvelet transform and at the coarse scales like the monogenic wavelet transform. In particular, the new transform is highly anisotropic at the fine scales and yields a well-interpretable amplitude/phase decomposition of the transform coefficients over all scales. We illustrate the advantage of this new directional multiscale amplitude/phase decomposition for the estimation of directional regularity.

23 citations

Journal ArticleDOI
TL;DR: In this paper, an expression for the Fourier transform of two-centre Gaussian orbital products is obtained which is identical in form with expressions for overlap integrals, and explicit expressions of the transform for all combinations up to ff products are given.
Abstract: An expression for the Fourier transform of two-centre Gaussian orbital products is obtained which is identical in form with expressions for overlap integrals. The one-centre transform is a special case, and is obtained in a trivial way from the two-centre expression. Explicit expressions of the transform for all combinations up to ff products are given.

23 citations

Proceedings ArticleDOI
06 Jan 2017
TL;DR: A new scheme for image encryption is proposed, using fractional Hartley transform followed by Arnold transform and singular value decomposition in the frequency domain, which has been validated for grayscale images and is sensitive to the encryption parameters.
Abstract: A new scheme for image encryption is proposed, using fractional Hartley transform followed by Arnold transform and singular value decomposition in the frequency domain. As the plaintext is an amplitude image, the mask used in the spatial domain is a random phase mask (RPM). The proposed scheme has been validated for grayscale images and is sensitive to the encryption parameters such as order of Arnold transform and fractional orders of the Hartley transform. We have also evaluated the scheme’s resistance to the well-known noise and occlusions attacks.

23 citations

Journal ArticleDOI
TL;DR: The advantages and drawbacks of Hadamard transform spectroscopy are examined in detail and existing theory, as reported in the literature, is not consistent with the claims made for the technique.
Abstract: Recent articles have claimed a significant S/N advantage of Hadamard transform spectroscopy over Fourier transform spectroscopy. The scanty published data does not support this assertion, and the possibility that the claim is valid in theory is examined. Existing theory, as reported in the literature, is not consistent with the claims made for the technique. The advantages and drawbacks of Hadamard transform spectroscopy are examined in detail.

23 citations


Network Information
Related Topics (5)
Nonlinear system
208.1K papers, 4M citations
81% related
Image processing
229.9K papers, 3.5M citations
80% related
Optimization problem
96.4K papers, 2.1M citations
79% related
Feature extraction
111.8K papers, 2.1M citations
78% related
Matrix (mathematics)
105.5K papers, 1.9M citations
77% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202311
202230
202110
202014
201915
201820