{"title":"具有滑动窗口AMP解码的空间耦合稀疏回归码","authors":"Cynthia Rush, Kuan Hsieh, R. Venkataramanan","doi":"10.1109/ITW44776.2019.8989108","DOIUrl":null,"url":null,"abstract":"We analyze the performance of spatially coupled sparse regression codes (SC-SPARCs) over the AWGN channel with a sliding window approximate message passing (AMP) decoder. In an SC-SPARC, the codewords are sparse linear combinations of columns of a Gaussian matrix that has a block-wise band-diagonal structure. In this paper we introduce and motivate the sliding-window AMP decoder for SC-SPARCs, and present the first steps towards a fully rigorous proof that the SC-SPARCs with sliding window AMP decoding are asymptotically capacity-achieving. We also provide numerical simulation results demonstrating the error performance of the sliding window AMP decoder at finite code lengths.","PeriodicalId":214379,"journal":{"name":"2019 IEEE Information Theory Workshop (ITW)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Spatially Coupled Sparse Regression Codes with Sliding Window AMP Decoding\",\"authors\":\"Cynthia Rush, Kuan Hsieh, R. Venkataramanan\",\"doi\":\"10.1109/ITW44776.2019.8989108\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We analyze the performance of spatially coupled sparse regression codes (SC-SPARCs) over the AWGN channel with a sliding window approximate message passing (AMP) decoder. In an SC-SPARC, the codewords are sparse linear combinations of columns of a Gaussian matrix that has a block-wise band-diagonal structure. In this paper we introduce and motivate the sliding-window AMP decoder for SC-SPARCs, and present the first steps towards a fully rigorous proof that the SC-SPARCs with sliding window AMP decoding are asymptotically capacity-achieving. We also provide numerical simulation results demonstrating the error performance of the sliding window AMP decoder at finite code lengths.\",\"PeriodicalId\":214379,\"journal\":{\"name\":\"2019 IEEE Information Theory Workshop (ITW)\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 IEEE Information Theory Workshop (ITW)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITW44776.2019.8989108\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 IEEE Information Theory Workshop (ITW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITW44776.2019.8989108","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Spatially Coupled Sparse Regression Codes with Sliding Window AMP Decoding
We analyze the performance of spatially coupled sparse regression codes (SC-SPARCs) over the AWGN channel with a sliding window approximate message passing (AMP) decoder. In an SC-SPARC, the codewords are sparse linear combinations of columns of a Gaussian matrix that has a block-wise band-diagonal structure. In this paper we introduce and motivate the sliding-window AMP decoder for SC-SPARCs, and present the first steps towards a fully rigorous proof that the SC-SPARCs with sliding window AMP decoding are asymptotically capacity-achieving. We also provide numerical simulation results demonstrating the error performance of the sliding window AMP decoder at finite code lengths.
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