{"title":"On blind equalization of rank deficient nonlinear channels","authors":"Roberto López-Valcarce, S. Dasgupta","doi":"10.1109/SSP.2001.955274","DOIUrl":null,"url":null,"abstract":"We consider the problem of blind equalization of nonlinear channels from the second-order statistics of the channel output. The channel model is linear in the parameters, with additive terms that are nonlinear functions of the transmitted symbols. All previous approaches assume that the corresponding channel matrix has full column rank, which ensures the existence of linear FIR zero forcing equalizers. We show that this assumption is not necessary, and that under certain circumstances linear FIR equalizers can be found despite the violation of this assumption. An important consequence of this fact is that equalization can be effected with a smaller level of diversity. In this paper necessary and sufficient conditions on the channel matrix are given. An algorithm for the computation of the equalizers is also given for those channels satisfying these conditions, assuming an i.i.d. symbol sequence and memory dominance of the linear part.","PeriodicalId":70952,"journal":{"name":"信号处理","volume":"82 1","pages":"269-272"},"PeriodicalIF":0.0000,"publicationDate":"2001-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"信号处理","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.1109/SSP.2001.955274","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We consider the problem of blind equalization of nonlinear channels from the second-order statistics of the channel output. The channel model is linear in the parameters, with additive terms that are nonlinear functions of the transmitted symbols. All previous approaches assume that the corresponding channel matrix has full column rank, which ensures the existence of linear FIR zero forcing equalizers. We show that this assumption is not necessary, and that under certain circumstances linear FIR equalizers can be found despite the violation of this assumption. An important consequence of this fact is that equalization can be effected with a smaller level of diversity. In this paper necessary and sufficient conditions on the channel matrix are given. An algorithm for the computation of the equalizers is also given for those channels satisfying these conditions, assuming an i.i.d. symbol sequence and memory dominance of the linear part.
期刊介绍:
Journal of Signal Processing is an academic journal supervised by China Association for Science and Technology and sponsored by China Institute of Electronics. The journal is an academic journal that reflects the latest research results and technological progress in the field of signal processing and related disciplines. It covers academic papers and review articles on new theories, new ideas, and new technologies in the field of signal processing. The journal aims to provide a platform for academic exchanges for scientific researchers and engineering and technical personnel engaged in basic research and applied research in signal processing, thereby promoting the development of information science and technology. At present, the journal has been included in the three major domestic core journal databases "China Science Citation Database (CSCD), China Science and Technology Core Journals (CSTPCD), Chinese Core Journals Overview" and Coaj. It is also included in many foreign databases such as Scopus, CSA, EBSCO host, INSPEC, JST, etc.