Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference
Abstract This paper is a theoretical analysis of the maximum likelihood (ML) channel estimator for orthogonal frequency-division multiplexing (OFDM) systems in the presence of unknown interference. The following theoretical results are presented. Firstly, the uniqueness of the ML solution for practi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | EURASIP Journal on Advances in Signal Processing |
| Online Access: | http://link.springer.com/article/10.1186/s13634-017-0504-x |
| _version_ | 1818113489223286784 |
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| author | Azzouz Dermoune Eric Pierre Simon |
| author_facet | Azzouz Dermoune Eric Pierre Simon |
| author_sort | Azzouz Dermoune |
| collection | DOAJ |
| description | Abstract This paper is a theoretical analysis of the maximum likelihood (ML) channel estimator for orthogonal frequency-division multiplexing (OFDM) systems in the presence of unknown interference. The following theoretical results are presented. Firstly, the uniqueness of the ML solution for practical applications, i.e., when thermal noise is present, is analytically demonstrated when the number of transmitted OFDM symbols is strictly greater than one. The ML solution is then derived from the iterative conditional ML (CML) algorithm. Secondly, it is shown that the channel estimate can be described as an algebraic function whose inputs are the initial value and the means and variances of the received samples. Thirdly, it is theoretically demonstrated that the channel estimator is not biased. The second and the third results are obtained by employing oblique projection theory. Furthermore, these results are confirmed by numerical results. |
| first_indexed | 2024-12-11T03:35:38Z |
| format | Article |
| id | doaj.art-61c4bf50afd6402da4bc645e4aabc2e7 |
| institution | Directory Open Access Journal |
| issn | 1687-6180 |
| language | English |
| last_indexed | 2024-12-11T03:35:38Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Advances in Signal Processing |
| spelling | doaj.art-61c4bf50afd6402da4bc645e4aabc2e72022-12-22T01:22:16ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61802017-09-012017111110.1186/s13634-017-0504-xAnalysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interferenceAzzouz Dermoune0Eric Pierre Simon1Laboratoire Paul Painlevé, USTL-UMR-CNRS 8524. UFR de Mathématiques, Bât. M2IEMN lab, TELICE group, University of LilleAbstract This paper is a theoretical analysis of the maximum likelihood (ML) channel estimator for orthogonal frequency-division multiplexing (OFDM) systems in the presence of unknown interference. The following theoretical results are presented. Firstly, the uniqueness of the ML solution for practical applications, i.e., when thermal noise is present, is analytically demonstrated when the number of transmitted OFDM symbols is strictly greater than one. The ML solution is then derived from the iterative conditional ML (CML) algorithm. Secondly, it is shown that the channel estimate can be described as an algebraic function whose inputs are the initial value and the means and variances of the received samples. Thirdly, it is theoretically demonstrated that the channel estimator is not biased. The second and the third results are obtained by employing oblique projection theory. Furthermore, these results are confirmed by numerical results.http://link.springer.com/article/10.1186/s13634-017-0504-x |
| spellingShingle | Azzouz Dermoune Eric Pierre Simon Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference EURASIP Journal on Advances in Signal Processing |
| title | Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference |
| title_full | Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference |
| title_fullStr | Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference |
| title_full_unstemmed | Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference |
| title_short | Analysis of the maximum likelihood channel estimator for OFDM systems in the presence of unknown interference |
| title_sort | analysis of the maximum likelihood channel estimator for ofdm systems in the presence of unknown interference |
| url | http://link.springer.com/article/10.1186/s13634-017-0504-x |
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