A Robust Decision Directed Algorithm for Blind Equalization Under \alpha-Stable Noise
This paper reports a solution to a linear blind equalizer used in communication systems under the effect of two factors: i) An unknown linear inter symbol interference and ii) the impulsive noise satisfying the <inline-formula><tex-math notation="LaTeX">\alpha</tex-math>&...
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| Veröffentlicht in: | IEEE transactions on signal processing Jg. 69; S. 4949 - 4960 |
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| Sprache: | Englisch |
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2021
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| ISSN: | 1053-587X, 1941-0476 |
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| Abstract | This paper reports a solution to a linear blind equalizer used in communication systems under the effect of two factors: i) An unknown linear inter symbol interference and ii) the impulsive noise satisfying the <inline-formula><tex-math notation="LaTeX">\alpha</tex-math></inline-formula>-stable distribution. First, a constellation matching error-based cost function associated with the linear equalizer is designed to effectively compensate for the inter symbol interference and suppress the influence of the impulsive noise. Second, an improved form of the proposed cost function is derived through the finite alphabet property of information symbols. The theoretical analysis shows that the improved cost function significantly reduces the local minima and converges more stably in high-order modulation systems. Furthermore, based on the special structure of the designed cost function, a modified Newton scheme is constructed to quickly minimize it, and then the corresponding optimal blind equalizer can be obtained. Finally, computer simulations are presented to demonstrate the robust equalization performance and fast convergence of the novel algorithm under both impulsive and Gaussian noise environments. |
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| AbstractList | This paper reports a solution to a linear blind equalizer used in communication systems under the effect of two factors: i) An unknown linear inter symbol interference and ii) the impulsive noise satisfying the <inline-formula><tex-math notation="LaTeX">\alpha</tex-math></inline-formula>-stable distribution. First, a constellation matching error-based cost function associated with the linear equalizer is designed to effectively compensate for the inter symbol interference and suppress the influence of the impulsive noise. Second, an improved form of the proposed cost function is derived through the finite alphabet property of information symbols. The theoretical analysis shows that the improved cost function significantly reduces the local minima and converges more stably in high-order modulation systems. Furthermore, based on the special structure of the designed cost function, a modified Newton scheme is constructed to quickly minimize it, and then the corresponding optimal blind equalizer can be obtained. Finally, computer simulations are presented to demonstrate the robust equalization performance and fast convergence of the novel algorithm under both impulsive and Gaussian noise environments. |
| Author | Feng, Da-Zheng Li, Jin Zheng, Wei Xing |
| Author_xml | – sequence: 1 givenname: Jin orcidid: 0000-0003-3832-9664 surname: Li fullname: Li, Jin email: lijin342@xidian.edu.cn organization: State Key Laboratory of Integrated Service Networks, Xidian University, Xi'an, China – sequence: 2 givenname: Da-Zheng surname: Feng fullname: Feng, Da-Zheng email: dzfeng@xidian.edu.cn organization: National Laboratory of Radar Signal Processing, Xidian University, Xi'an, China – sequence: 3 givenname: Wei Xing orcidid: 0000-0002-0572-5938 surname: Zheng fullname: Zheng, Wei Xing email: w.zheng@westernsydney.edu.au organization: School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney, NSW, Australia |
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| Title | A Robust Decision Directed Algorithm for Blind Equalization Under \alpha-Stable Noise |
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