Blind Recursive Tracking of Carrier Frequency Offset (CFO) Vector in MC-CDMA Systems
A recursive algorithm for estimating and updating the effective carrier frequency offset (CFO) vector in a multicarrier code-division multiple-access (MC-CDMA) system is proposed in this work. The recursive relation is derived based on the expectation maximization (EM) algorithm with a quadratic con...
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| Published in: | IEEE transactions on wireless communications Vol. 6; no. 4; pp. 1246 - 1255 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Piscataway, NJ
IEEE
01.04.2007
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1536-1276, 1558-2248 |
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| Abstract | A recursive algorithm for estimating and updating the effective carrier frequency offset (CFO) vector in a multicarrier code-division multiple-access (MC-CDMA) system is proposed in this work. The recursive relation is derived based on the expectation maximization (EM) algorithm with a quadratic constraint. This new approach enables the use of linear estimation theory to tackle the CFO estimation problem with or without training data, which leads to an analytic CFO estimate in closed form. Furthermore, the multiple access interference (MAI) is mitigated using the second order statistics of the interference-plus-noise vector, which is updated in a recursive manner under the EM formulation, too. When reaching a converged estimate, a fixed-norm quadratic constraint is imposed so that the final CFO estimate is robust to an imprecise covariance matrix estimate caused by insufficient data samples. It is demonstrated by computer simulation that the performance of an MC-CDMA system without the CFO information can be restored by the proposed scheme in the sense that its bit error probability (BEP) performance is close to that with perfect CFO knowledge |
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| AbstractList | A recursive algorithm for estimating and updating the effective carrier frequency offset (CFO) vector in a multicarrier code-division multiple-access (MC-CDMA) system is proposed in this work. The recursive relation is derived based on the expectation maximization (EM) algorithm with a quadratic constraint. This new approach enables the use of linear estimation theory to tackle the CFO estimation problem with or without training data, which leads to an analytic CFO estimate in closed form. Furthermore, the multiple access interference (MAI) is mitigated using the second order statistics of the interference-plus-noise vector, which is updated in a recursive manner under the EM formulation, too. When reaching a converged estimate, a fixed-norm quadratic constraint is imposed so that the final CFO estimate is robust to an imprecise covariance matrix estimate caused by insufficient data samples. It is demonstrated by computer simulation that the performance of an MC-CDMA system without the CFO information can be restored by the proposed scheme in the sense that its bit error probability (BEP) performance is close to that with perfect CFO knowledge. When reaching a converged estimate, a fixed-norm quadratic constraint is imposed so that the final CFO estimate is robust to an imprecise covariance matrix estimate caused by insufficient data samples. A recursive algorithm for estimating and updating the effective carrier frequency offset (CFO) vector in a multicarrier code-division multiple-access (MC-CDMA) system is proposed in this work. The recursive relation is derived based on the expectation maximization (EM) algorithm with a quadratic constraint. This new approach enables the use of linear estimation theory to tackle the CFO estimation problem with or without training data, which leads to an analytic CFO estimate in closed form. Furthermore, the multiple access interference (MAI) is mitigated using the second order statistics of the interference-plus-noise vector, which is updated in a recursive manner under the EM formulation, too. When reaching a converged estimate, a fixed-norm quadratic constraint is imposed so that the final CFO estimate is robust to an imprecise covariance matrix estimate caused by insufficient data samples. It is demonstrated by computer simulation that the performance of an MC-CDMA system without the CFO information can be restored by the proposed scheme in the sense that its bit error probability (BEP) performance is close to that with perfect CFO knowledge |
| Author | Chien, F.-T. Kuo, C.-C.J. |
| Author_xml | – sequence: 1 givenname: F.-T. surname: Chien fullname: Chien, F.-T. organization: Dept. of Electron. Eng., Nat. Chiao Tung Univ., Hsinchu – sequence: 2 givenname: C.-C.J. surname: Kuo fullname: Kuo, C.-C.J. |
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| Keywords | Second order Wireless telecommunication Updating Code division multiple access (CDMA) Learning quadratic constraint carrier frequency offset (CFO) Linear estimation Multiple access Target tracking Computer simulation Multicarrier Estimation theory recursive EM algorithm Order statistic Covariance matrix Recursive algorithm Statistical method Signal interference Carrier frequency Code division multiple access Linear theory Recursive method multicarrier CDMA Frequency offset EM algorithm |
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| Snippet | A recursive algorithm for estimating and updating the effective carrier frequency offset (CFO) vector in a multicarrier code-division multiple-access (MC-CDMA)... When reaching a converged estimate, a fixed-norm quadratic constraint is imposed so that the final CFO estimate is robust to an imprecise covariance matrix... |
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| SubjectTerms | Algorithms Applied sciences Carrier frequencies Computer simulation Estimates Estimation theory Exact sciences and technology Frequency estimation Interference constraints Mathematical analysis Maximization Multiaccess communication Multicarrier code division multiple access Multiple access interference Offsets Recursive Recursive estimation Statistics Studies Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Training data Transmission and modulation (techniques and equipments) Vectors Vectors (mathematics) |
| Title | Blind Recursive Tracking of Carrier Frequency Offset (CFO) Vector in MC-CDMA Systems |
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