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Parameter estimation of linear and quadratic chirps by employing the fractional fourier transform and a generalized time frequency transform

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Title Parameter estimation of linear and quadratic chirps by employing the fractional fourier transform and a generalized time frequency transform
 
Creator SAHAY, SB
MEGHASYAM, T
ROY, RK
POONIWALA, G
CHILAMKURTHY, S
GADRE, V
 
Subject Mixture of chirp signals
time frequency plane
instantaneous frequency (IF)
model-dependent methods for chirp parameter estimation
Fractional Fourier Transform (FrFT)
Generalized Time-Frequency Transform (GTFT)
Uncertainty principle
Eigenfunction
 
Description This paper is targeted towards a general readership in signal processing. It intends to provide a brief tutorial exposure to the Fractional Fourier Transform, followed by a report on experiments performed by the authors on a Generalized Time Frequency Transform (GTFT) proposed by them in an earlier paper. The paper also discusses the extension of the uncertainty principle to the GTFT. This paper discusses some analytical results of the GTFT. We identify the eigenfunctions and eigenvalues of the GTFT. The time shift property of the GTFT is discussed. The paper describes methods for estimation of parameters of individual chirp signals on receipt of a noisy mixture of chirps. A priori knowledge of the nature of chirp signals in the mixture linear or quadratic is required, as the two proposed methods fall in the category of model-dependent methods for chirp parameter estimation.
 
Publisher INDIAN ACAD SCIENCES
 
Date 2016-01-15T11:03:24Z
2016-01-15T11:03:24Z
2015
 
Type Article
 
Identifier SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 40(4)1049-1075
0256-2499
0973-7677
http://dspace.library.iitb.ac.in/jspui/handle/100/18416
 
Language en