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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Electrical and Electronics Engineers ( IEEE )
2009
|
| Subjects: | |
| Online Access: | 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 |
| _version_ | 1848775792891265024 |
|---|---|
| author | Abeysekera, Saman S. Sharif, Md. Raihan |
| author_facet | Abeysekera, Saman S. Sharif, Md. Raihan |
| author_sort | Abeysekera, Saman S. |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:19:50Z |
| format | Article |
| id | iium-1042 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:19:50Z |
| publishDate | 2009 |
| publisher | Institute of Electrical and Electronics Engineers ( IEEE ) |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| spellingShingle | QA Mathematics Abeysekera, Saman S. Sharif, Md. Raihan Efficient wideband parameter estimation using arbitrary enveloped LFM signals via hermite decompositions |
| title | 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_short | 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 |
| topic | QA Mathematics |
| 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 |