Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions

Signals with finite time support are frequently used in active sonar and radar processing. In these applications, for efficient computations, it is necessary to have a compact description of the signals’ shape and time evolution. For this purpose, the Hermite series expansions are used in this paper...

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Main Authors:	Abeysekera, Saman S., Sharif, Md. Raihan
Format:	Article
Language:	English
Published:	Institute of Electrical and Electronics Engineers ( IEEE ) 2009
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/1042/ http://irep.iium.edu.my/1042/ http://irep.iium.edu.my/1042/ http://irep.iium.edu.my/1042/1/Efficient_Wideband_Parameter_Estimation_Using_Arbitrary_Enveloped_LFM_Signals_via_Hermite_Decompositions.pdf

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spelling	iium-10422011-11-24T05:47:43Z http://irep.iium.edu.my/1042/ Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions Abeysekera, Saman S. Sharif, Md. Raihan QA Mathematics Signals with finite time support are frequently used in active sonar and radar processing. In these applications, for efficient computations, it is necessary to have a compact description of the signals’ shape and time evolution. For this purpose, the Hermite series expansions are used in this paper to approximate an arbitrary enveloped linear frequency modulated signal. The Hermite basis functions are based on the product of Hermite polynomials and a Gaussian function. The analytical expressions for the Fourier transform of linear frequency modulated (LFM) Hermite functions are presented. It is proposed to use the Fourier transform of LFM Hermite functions for efficient computation of the wideband cross-ambiguity function (WCAF) for target parameter estimation in active sonar processing. Efficient 2-D search methods are also proposed to obtain parameters from the WCAF. Institute of Electrical and Electronics Engineers ( IEEE ) 2009-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1042/1/Efficient_Wideband_Parameter_Estimation_Using_Arbitrary_Enveloped_LFM_Signals_via_Hermite_Decompositions.pdf Abeysekera, Saman S. and Sharif, Md. Raihan (2009) Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions. IEEE Journal of Oceanic Engineering, 34 (1). pp. 63-74. ISSN 0364-9059 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4797812 DOI: 10.1109/JOE.2008.2010211
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Abeysekera, Saman S. Sharif, Md. Raihan Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions
description	Signals with finite time support are frequently used in active sonar and radar processing. In these applications, for efficient computations, it is necessary to have a compact description of the signals’ shape and time evolution. For this purpose, the Hermite series expansions are used in this paper to approximate an arbitrary enveloped linear frequency modulated signal. The Hermite basis functions are based on the product of Hermite polynomials and a Gaussian function. The analytical expressions for the Fourier transform of linear frequency modulated (LFM) Hermite functions are presented. It is proposed to use the Fourier transform of LFM Hermite functions for efficient computation of the wideband cross-ambiguity function (WCAF) for target parameter estimation in active sonar processing. Efficient 2-D search methods are also proposed to obtain parameters from the WCAF.
format	Article
author	Abeysekera, Saman S. Sharif, Md. Raihan
author_facet	Abeysekera, Saman S. Sharif, Md. Raihan
author_sort	Abeysekera, Saman S.
title	Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions
title_short	Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions
title_full	Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions
title_fullStr	Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions
title_full_unstemmed	Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions
title_sort	efficient wideband parameter estimation using arbitrary enveloped lfm signals via hermite decompositions
publisher	Institute of Electrical and Electronics Engineers ( IEEE )
publishDate	2009
url	http://irep.iium.edu.my/1042/ http://irep.iium.edu.my/1042/ http://irep.iium.edu.my/1042/ http://irep.iium.edu.my/1042/1/Efficient_Wideband_Parameter_Estimation_Using_Arbitrary_Enveloped_LFM_Signals_via_Hermite_Decompositions.pdf
first_indexed	2023-09-18T20:08:16Z
last_indexed	2023-09-18T20:08:16Z
_version_	1777407304724905984

Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions

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