Conjugate symmetric sequency-ordered complex Hadamard transform
A new transform known as conjugate symmetric sequency-ordered complex Hadamard transform (CS-SCHT) is presented in this paper. The transform matrix of this transform possesses sequency ordering and the spectrum obtained by the CS-SCHT is conjugate symmetric. Some of its important properties are disc...
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| Format: | Journal Article |
| Language: | English |
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2011
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| Online Access: | https://hdl.handle.net/10356/93914 http://hdl.handle.net/10220/7088 |
| _version_ | 1826110887542390784 |
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| author | Aung, Aye Ng, Boon Poh Rahardja, Susanto |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Aung, Aye Ng, Boon Poh Rahardja, Susanto |
| author_sort | Aung, Aye |
| collection | NTU |
| description | A new transform known as conjugate symmetric sequency-ordered complex Hadamard transform (CS-SCHT) is presented in this paper. The transform matrix of this transform possesses sequency ordering and the spectrum obtained by the CS-SCHT is conjugate symmetric. Some of its important properties are discussed and analyzed. Sequency defined in the CS-SCHT is interpreted as compared to frequency in the discrete Fourier transform. The exponential form of the CS-SCHT is derived, and the proof of the dyadic shift invariant property of the CS-SCHT is also given. The fast and efficient algorithm to compute the CS-SCHT is developed using the sparse matrix factorization method and its computational load is examined as compared to that of the SCHT. The applications of the CS-SCHT in spectrum estimation and image compression are discussed. The simulation results reveal that the CS-SCHT is promising to be employed in such applications. |
| first_indexed | 2024-10-01T02:41:51Z |
| format | Journal Article |
| id | ntu-10356/93914 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:41:51Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | ntu-10356/939142020-03-07T14:02:37Z Conjugate symmetric sequency-ordered complex Hadamard transform Aung, Aye Ng, Boon Poh Rahardja, Susanto School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Signal processing A new transform known as conjugate symmetric sequency-ordered complex Hadamard transform (CS-SCHT) is presented in this paper. The transform matrix of this transform possesses sequency ordering and the spectrum obtained by the CS-SCHT is conjugate symmetric. Some of its important properties are discussed and analyzed. Sequency defined in the CS-SCHT is interpreted as compared to frequency in the discrete Fourier transform. The exponential form of the CS-SCHT is derived, and the proof of the dyadic shift invariant property of the CS-SCHT is also given. The fast and efficient algorithm to compute the CS-SCHT is developed using the sparse matrix factorization method and its computational load is examined as compared to that of the SCHT. The applications of the CS-SCHT in spectrum estimation and image compression are discussed. The simulation results reveal that the CS-SCHT is promising to be employed in such applications. Accepted version 2011-09-21T04:15:57Z 2019-12-06T18:47:39Z 2011-09-21T04:15:57Z 2019-12-06T18:47:39Z 2009 2009 Journal Article Aung, A., Ng, B. P., & Rahardja, S. (2009). Conjugate Symmetric Sequency-Ordered Complex Hadamard Transform. IEEE Transactions on Signal Processing, 57(7), 2582-2593. 1053-587X https://hdl.handle.net/10356/93914 http://hdl.handle.net/10220/7088 10.1109/TSP.2009.2017572 155440 en IEEE transactions on signal processing © 2009 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [DOI: http://dx.doi.org/10.1109/TSP.2009.2017572]. 12 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Signal processing Aung, Aye Ng, Boon Poh Rahardja, Susanto Conjugate symmetric sequency-ordered complex Hadamard transform |
| title | Conjugate symmetric sequency-ordered complex Hadamard transform |
| title_full | Conjugate symmetric sequency-ordered complex Hadamard transform |
| title_fullStr | Conjugate symmetric sequency-ordered complex Hadamard transform |
| title_full_unstemmed | Conjugate symmetric sequency-ordered complex Hadamard transform |
| title_short | Conjugate symmetric sequency-ordered complex Hadamard transform |
| title_sort | conjugate symmetric sequency ordered complex hadamard transform |
| topic | DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Signal processing |
| url | https://hdl.handle.net/10356/93914 http://hdl.handle.net/10220/7088 |
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