Author
V. Ashok Narayanan
Bio: V. Ashok Narayanan is an academic researcher from University of Maryland, College Park. The author has contributed to research in topics: Fourier transform & Signal processing. The author has an hindex of 1, co-authored 1 publications receiving 120 citations.
Papers
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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
DOI•
01 Jul 2022
TL;DR: In this paper , a method that makes use of the sparsifying property of Householder transformation is proposed to identify the reflection vector, relative to which a Householder transform exists, that gives the sparse representation of the signal.
Abstract: The recovery/reconstruction of blind compressive sensed signal is a highly ill-posed problem that asserts the reconstruction of the signal from its reduced set of measurements without knowing the representing basis. In this paper, we propose a method that makes use of the sparsifying property of Householder transformation. The method identifies the reflection vector, relative to which a Householder transform exists, that gives the sparse representation of the signal. The estimate of the signal is updated using the identified sparse set of coefficients and the Householder transform by applying $\ell_{1}$-trend filtering. The proposed method achieves a signal reconstruction comparable with the existing techniques for speech, tidal wave, image and synthetic signals. The unique reconstruction of the signal upto a lower error bound is achieved using the proposed method.
Cited by
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TL;DR: This paper is geared toward signal processing practitioners by emphasizing the practical digital realizations and applications of the FRFT, which is closely related to other mathematical transforms, such as time-frequency and linear canonical transforms.
335 citations
Book•
01 Jan 1998
TL;DR: Advances in Imaging and Electron Physics merges two long-running serials, Advances in Electronics and Electro-Magnetic Physics (AEEE and EEE), and advances in Optical and Electro Electron Microscopy (OEM) as mentioned in this paper.
Abstract: Advances in Imaging and Electron Physics merges two long-running serials, Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science, and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. * Contains contributions from leading authorities on the subject matter* Informs and updates on all the latest developments in the field of imaging and electron physics* Provides practitioners interested in microscopy, optics, image processing, mathematical morphology, electromagnetic fields, electron, and ion emission with a valuable resource* Features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science, and digital image processing
225 citations
TL;DR: A robust copyright protection scheme based on fractional Fourier transform (FrFT) and visual cryptography (VC) and the experimental results show that the proposed scheme is strong enough to resist various signal processing operations.
131 citations
TL;DR: The present article collects the scattered tools into a dashboard view, briefly introduces their usage and algorithms, evaluates the accuracy, compares the performance, and provides informative comments for selection.
Abstract: In recent years, as fractional calculus becomes more and more broadly used in research across different academic disciplines, there are increasing demands for the numerical tools for the computation of fractional integration/differentiation, and the simulation of fractional order systems. Time to time, being asked about which tool is suitable for a specific application, the authors decide to carry out this survey to present recapitulative information of the available tools in the literature, in hope of benefiting researchers with different academic backgrounds. With this motivation, the present article collects the scattered tools into a dashboard view, briefly introduces their usage and algorithms, evaluates the accuracy, compares the performance, and provides informative comments for selection.
128 citations