Journal ArticleDOI
The fractional Fourier transform: theory, implementation and error analysis
V. Ashok Narayanan,K.M.M. Prabhu +1 more
TLDR
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.About:
This article is published in Microprocessors and Microsystems.The article was published on 2003-11-03. It has received 128 citations till now. The article focuses on the topics: Fractional Fourier transform & Non-uniform discrete Fourier transform.read more
Citations
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Book ChapterDOI
Fractional Fourier Transform
Prajna Kunche,N. Manikanthababu +1 more
TL;DR: This chapter focuses on theory and implementation of fractional Fourier transform (FrFT), a wide spread time-frequency tool.
Journal ArticleDOI
The Fractional Hilbert Transform on the Real Line
Naheed Abdullah,Saleem Iqbal,Asma Khalid,Amnah S. Al Johani,Ilyas Khan,A. Rehman,Mulugeta Andualem +6 more
TL;DR: In this article , the authors examined some special properties and important results of the fractional Hilbert transform (FHT) on the real line and proved that FHT is an isomorphism on real line.
Book ChapterDOI
Chiral Nanostructures Fabricated by Twisted Light with Spin
Takashige Omatsu,Ryuji Morita +1 more
Are dense networks of low-cost nodes better at monitoring air pollution? A case study in Staffordshire
Louise Bøge Frederickson,Ruta Sidaraviciute,Johan A. Schmidt,Ole Hertel,Matthew,Stanley Johnson +5 more
TL;DR: In this paper , a network of 18 nodes using low-cost air pollution sensors was deployed in Newcastle-under-Lyme, Staffordshire, UK, in June 2020, where each node measured a range of species including nitrogen dioxide (NO 2 ), ozone (O 3 ), and particulate matter (PM 2 . 5 and PM 10 ).
Proceedings ArticleDOI
Dual-channel SAR ground moving target detection and parameters estimation
H. Shabana,Liu Fang,Shuyu Xiang +2 more
TL;DR: A new algorithm for imaging moving targets via estimating their motion parameters with dual channel synthetic aperture radar, using Displaced phase center array (DPCA) antennas for clutter cancelation through which moving targets are detected.
References
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Journal ArticleDOI
The fractional Fourier transform and time-frequency representations
TL;DR: The authors briefly introduce the functional Fourier transform and a number of its properties and present some new results: the interpretation as a rotation in the time-frequency plane, and the FRFT's relationships with time- frequencies such as the Wigner distribution, the ambiguity function, the short-time Fouriertransform and the spectrogram.
Book
The Fractional Fourier Transform: with Applications in Optics and Signal Processing
TL;DR: The fractional Fourier transform (FFT) as discussed by the authors has been used in a variety of applications, such as matching filtering, detection, and pattern recognition, as well as signal recovery.
Journal ArticleDOI
Digital computation of the fractional Fourier transform
TL;DR: An algorithm for efficient and accurate computation of the fractional Fourier transform for signals with time-bandwidth product N, which computes the fractionsal transform in O(NlogN) time.
Journal ArticleDOI
The discrete fractional Fourier transform
TL;DR: This definition is based on a particular set of eigenvectors of the DFT matrix, which constitutes the discrete counterpart of the set of Hermite-Gaussian functions, and is exactly unitary, index additive, and reduces to the D FT for unit order.
Journal ArticleDOI
Effects of finite register length in digital filtering and the fast Fourier transform
Alan V. Oppenheim,C. Weinstein +1 more
TL;DR: The groundwork is set through a discussion of the relationship between the binary representation of numbers and truncation or rounding, and a formulation of a statistical model for arithmetic roundoff, to illustrate techniques of working with particular models.