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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Patent
Methods and apparatus to generate an acoustic emission spectrum using amplitude demodulation
TL;DR: In this paper, an acoustic emission sensor including a pre-amplifier, a demodulator, and a transmitter are described, which transmits the demodulated acoustic emission data to a data acquisition system.
Dissertation
Satellite Image Processing Using Discrete Fractional Transforms
Rajinder Kumar,Kulbir Singh +1 more
Journal ArticleDOI
Parameters estimation and imaging of moving target for frequency-modulated continuous-wave synthetic-aperture radar system
Gaowei Jia,Juncan Lin +1 more
TL;DR: According to frequency-modulated continuous-wave synthetic-aperture radar, the signal model of a moving target is established and an algorithm for target parameters estimation and imaging is proposed and is available for moving targets with Doppler ambiguity.
Journal ArticleDOI
Countering self-protection interrupted sampling repeater jammer against chirp radar
TL;DR: In this article , a new anti-jamming technique against interrupted sampling jamming of self-protection repeater jammer is proposed without the knowledge of the jamming parameters, which is based on fractional Fourier transform that can separate the overlapping true target echo and jamming pulses in the fractional domain.
Book ChapterDOI
Research on the Non-Cooperative Positioning Technologies for Combination of BeiDou and TD-LTE
TL;DR: A complete scheme of real-time and high-precision non-cooperative positioning for mobile phones is proposed and utilizes a TDOA/AOA hybrid positioning method based on Fractional Fourier Transform (FRFT) to verify its feasibility.
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.