{"title":"On the Calculation of the Error Probability for a Multilevel Modulation Scheme Using QAM-Signaling","authors":"K. Engdahl, K. Zigangirov","doi":"10.1109/18.681340","DOIUrl":null,"url":null,"abstract":"We analyze the quadrature amplitude modulation (QAM) version of multilevel modulation with multistage decoding using a suboptimal metric, when transmission takes place over a memoryless Gaussian channel. The upper bounds for decoding error probabilities are functions of the Chernoff bounding parameter Z. We argue that the conventional approximation of Z is not adequate; new values of Z that tightens the error bounds without causing them to lose their validity are given. The capacity for this system is also calculated, and we conclude that the use of a suboptimal metric in multistage decoding causes very little degradation in capacity compared to when the optimal metric is used in each decoding stage.","PeriodicalId":13250,"journal":{"name":"IEEE Trans. Inf. Theory","volume":"11 1","pages":"1612-1620"},"PeriodicalIF":0.0000,"publicationDate":"1997-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Trans. Inf. Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/18.681340","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
We analyze the quadrature amplitude modulation (QAM) version of multilevel modulation with multistage decoding using a suboptimal metric, when transmission takes place over a memoryless Gaussian channel. The upper bounds for decoding error probabilities are functions of the Chernoff bounding parameter Z. We argue that the conventional approximation of Z is not adequate; new values of Z that tightens the error bounds without causing them to lose their validity are given. The capacity for this system is also calculated, and we conclude that the use of a suboptimal metric in multistage decoding causes very little degradation in capacity compared to when the optimal metric is used in each decoding stage.
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