ISI sparse channel estimation based on ISL0 algorithm

A smoothed L0 (SL0) algorithm based on compressed sensing proposed in previous works for inter symbol in-terference (ISI) sparse channel estimation. But this method has “notched effect” due to the negative iterative gradient direction. Moreover, the “steep nature” of cost function in SL0 is not stee...

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Main Authors: Ting LIU, Jie ZHOU, CHIJiu-he JU
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2014-05-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.05.017/
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author Ting LIU
Jie ZHOU
CHIJiu-he JU
author_facet Ting LIU
Jie ZHOU
CHIJiu-he JU
author_sort Ting LIU
collection DOAJ
description A smoothed L0 (SL0) algorithm based on compressed sensing proposed in previous works for inter symbol in-terference (ISI) sparse channel estimation. But this method has “notched effect” due to the negative iterative gradient direction. Moreover, the “steep nature” of cost function in SL0 is not steep enough, leading to channel estimation errors and make convergence results not the most optimal. The lagrange multipliers and newton method were combined to op-timize SL0 algorithm in order to obtain a more rapid and efficient signal reconstruction algorithm termed as an improved smoothed L0 (ISL0). The channel state information (CSI) of the sparse multi-path channel was obtained and analysis of reconstructed signal deviation, mean squared error (MSE) in the perspective of iterations and signal-to-noise ratio (SNR) as well as the iteration time and ISI equalization performance were also done. Furthermore, the superiority of ISL0 has been verified by computer simulation. Real-time simulation results clearly show that the ISL0 algorithm can estimate the ISI sparse channel much better. Compared with CoSaMP, SL0 and some other algorithms, the ISL0 algorithm can greatly improve the performance of system in the same channel environments.
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institution Kabale University
issn 1000-436X
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publisher Editorial Department of Journal on Communications
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series Tongxin xuebao
spelling doaj-art-227d012731944f07a4738900f244f68b2025-01-14T06:43:24ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2014-05-013512413359681627ISI sparse channel estimation based on ISL0 algorithmTing LIUJie ZHOUCHIJiu-he JUA smoothed L0 (SL0) algorithm based on compressed sensing proposed in previous works for inter symbol in-terference (ISI) sparse channel estimation. But this method has “notched effect” due to the negative iterative gradient direction. Moreover, the “steep nature” of cost function in SL0 is not steep enough, leading to channel estimation errors and make convergence results not the most optimal. The lagrange multipliers and newton method were combined to op-timize SL0 algorithm in order to obtain a more rapid and efficient signal reconstruction algorithm termed as an improved smoothed L0 (ISL0). The channel state information (CSI) of the sparse multi-path channel was obtained and analysis of reconstructed signal deviation, mean squared error (MSE) in the perspective of iterations and signal-to-noise ratio (SNR) as well as the iteration time and ISI equalization performance were also done. Furthermore, the superiority of ISL0 has been verified by computer simulation. Real-time simulation results clearly show that the ISL0 algorithm can estimate the ISI sparse channel much better. Compared with CoSaMP, SL0 and some other algorithms, the ISL0 algorithm can greatly improve the performance of system in the same channel environments.http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.05.017/compressed-sensinglinear programnon-convex optimizationISL0 algorithmsparse restoration
spellingShingle Ting LIU
Jie ZHOU
CHIJiu-he JU
ISI sparse channel estimation based on ISL0 algorithm
Tongxin xuebao
compressed-sensing
linear program
non-convex optimization
ISL0 algorithm
sparse restoration
title ISI sparse channel estimation based on ISL0 algorithm
title_full ISI sparse channel estimation based on ISL0 algorithm
title_fullStr ISI sparse channel estimation based on ISL0 algorithm
title_full_unstemmed ISI sparse channel estimation based on ISL0 algorithm
title_short ISI sparse channel estimation based on ISL0 algorithm
title_sort isi sparse channel estimation based on isl0 algorithm
topic compressed-sensing
linear program
non-convex optimization
ISL0 algorithm
sparse restoration
url http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.05.017/
work_keys_str_mv AT tingliu isisparsechannelestimationbasedonisl0algorithm
AT jiezhou isisparsechannelestimationbasedonisl0algorithm
AT chijiuheju isisparsechannelestimationbasedonisl0algorithm