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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Journal ArticleDOI
Distributed acoustic and vibration sensing via optical fractional Fourier transform reflectometry.
Lihi Shiloh,Avishay Eyal +1 more
TL;DR: The method, which enables high spatial resolution at long distances with high scan rates, is demonstrated by detecting deliberate perturbations in the Rayleigh backscatter profile at the end of a 20km fiber with a scanning frequency of ~2.5kHz.
Journal ArticleDOI
A Novel FrWT Based Arrhythmia Detection in ECG Signal Using YWARA and PCA
Journal ArticleDOI
Dynamics of Commodities Prices: Integer and Fractional Models
Sergio Adriani David,J. A. Tenreiro Machado,Lucas R. Trevisan,Claudio M. C. Inácio,António M. Lopes +4 more
TL;DR: This paper examines the time series of four important agricultural commodities, namely the soybean, corn, coffee and sugar prices, by means of the Fractional Fourier Transform to unveil time-frequency patterns in the data and shows that the ARFIMA has a superior performance for future price forecasting.
Journal ArticleDOI
Fractional Fourier Transform Based Adaptive Filtering Techniques for Acoustic Emission Signal Enhancement
K. Prajna,C. K. Mukhopadhyay +1 more
TL;DR: Results have demonstrated that FrFD based ANC approach outperforms the conventional time domain and frequency domain adaptive filtering with an improved signal to noise ratio and significantly reduces mean square error.
Journal ArticleDOI
A FrFT based method for measuring chromatic dispersion and SPM in optical fibers
TL;DR: In this article, a fractional Fourier transformation based method is proposed to blindly estimate the chromatic dispersion and self phase modulation in optical fibers, and the experimental results demonstrate that up to 20,000-ps/nm accumulative chromastic dispersion of a fiber link is measured with the error less than 0.8%.
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.
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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.