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...
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| Veröffentlicht in: | IEEE journal of oceanic engineering 2009-01, Vol.34 (1), p.63-74 |
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| creator | Abeysekera, S.S. Raihan, S.M. |
| 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. |
| doi_str_mv | 10.1109/JOE.2008.2010211 |
| format | Article |
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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. 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Efficient 2-D search methods are also proposed to obtain parameters from the WCAF.</description><subject>Chirp modulation</subject><subject>Computational efficiency</subject><subject>Computer applications</subject><subject>Fourier transforms</subject><subject>Frequency modulation</subject><subject>Hermite decomposition</subject><subject>linear frequency modulated (LFM) signals</subject><subject>Marine</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Parameter estimation</subject><subject>radar</subject><subject>Radar signal processing</subject><subject>Search methods</subject><subject>Shape</subject><subject>Signal processing</subject><subject>Sonar</subject><subject>Wideband</subject><subject>wideband cross-ambiguity function (WCAF)</subject><issn>0364-9059</issn><issn>1558-1691</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kTFPwzAQRi0EEqWwI7FYDDAFfHbsxCOClIKKQALEaLnOtRg1SbFTJP49rloxMLDcLe-7090j5BjYBQDTl_eP1QVnrEwFGAfYIQOQssxAadglAyZUnmkm9T45iPGDMcjzQg_IezWbeeex7embr3Fq25o-2WAb7DHQKva-sb3vWvoafTunV2Hq-2DDN63aL1x0S6zpZPRAn_28tYtIv7ylYwyN75HeoOuaZRf9Oh8Pyd4sEXi07UPyOqpersfZ5PH27vpqkrkcdJ_JugaNoJSb6lpx5hSgAlcI6WotZC55qSTXVqCoWYEgCsEQuOTclrniTgzJ-WbuMnSfK4y9aXx0uFjYFrtVNKUqirwUWify7F-SMwlcKJ7A0z_gR7cK63tNKYtcSK1ZgtgGcqGLMeDMLEP6Xfg2wMzakEmGzNqQ2RpKkZNNxCPiL560FGVa_AMZcIsu</recordid><startdate>200901</startdate><enddate>200901</enddate><creator>Abeysekera, S.S.</creator><creator>Raihan, S.M.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| source | IEEE Electronic Library (IEL) |
| subjects | Chirp modulation Computational efficiency Computer applications Fourier transforms Frequency modulation Hermite decomposition linear frequency modulated (LFM) signals Marine Mathematical analysis Mathematical models Parameter estimation radar Radar signal processing Search methods Shape Signal processing Sonar Wideband wideband cross-ambiguity function (WCAF) |
| title | Efficient Wideband Parameter Estimation Using Arbitrary Enveloped LFM Signals via Hermite Decompositions |
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