A. Cirik, Muhammad R. A. Khandaker, Y. Rong, Y. Hua
{"title":"On uplink-downlink sum-MSE duality of multi-hop MIMO relay channel","authors":"A. Cirik, Muhammad R. A. Khandaker, Y. Rong, Y. Hua","doi":"10.1109/SPAWC.2014.6941634","DOIUrl":null,"url":null,"abstract":"The uplink and downlink sum mean-squared error (MSE) duality for multi-hop amplify-and-forward (AF) multiple-input multiple-output (MIMO) relay channels is established, which is a generalization of several sum-MSE duality results. Unlike the previous results that prove the duality by computing the MSEs for each stream directly, we introduce an interesting perspective to the relation of the uplink-downlink duality based on the Karush-Kuhn-Tucker (KKT) conditions associated with uplink and downlink transceiver design optimization problems.","PeriodicalId":420837,"journal":{"name":"2014 IEEE 15th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 IEEE 15th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SPAWC.2014.6941634","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The uplink and downlink sum mean-squared error (MSE) duality for multi-hop amplify-and-forward (AF) multiple-input multiple-output (MIMO) relay channels is established, which is a generalization of several sum-MSE duality results. Unlike the previous results that prove the duality by computing the MSEs for each stream directly, we introduce an interesting perspective to the relation of the uplink-downlink duality based on the Karush-Kuhn-Tucker (KKT) conditions associated with uplink and downlink transceiver design optimization problems.