{"title":"量化相关解码","authors":"R. Blizard","doi":"10.1109/TCOM.1967.1089615","DOIUrl":null,"url":null,"abstract":"The increase in error rate due to quantizing is examined for the special case of a digital correlation decoder such as can be used for orthogonal and other block codes. Three types of effect are considered separately: 1) the increase in variance, which is proportional to the square of the quantum interval; 2) a threshold, proportional to the quantum interval, caused by the ambiguity when the received signal correlates equally with two code words; 3) the effect of limiting. Approximations are obtained for small quantizing loss, the case of greatest interest since the object of correlation decoding is high efficiency. For a 7-bit biorthogonal code and a total of 16 quantum levels the increase in error rate is computed as a function of the quantum interval, and an optimum is found.","PeriodicalId":134522,"journal":{"name":"IEEE Transactions on Communication Technology","volume":"70 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1967-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Quantizing for Correlation Decoding\",\"authors\":\"R. Blizard\",\"doi\":\"10.1109/TCOM.1967.1089615\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The increase in error rate due to quantizing is examined for the special case of a digital correlation decoder such as can be used for orthogonal and other block codes. Three types of effect are considered separately: 1) the increase in variance, which is proportional to the square of the quantum interval; 2) a threshold, proportional to the quantum interval, caused by the ambiguity when the received signal correlates equally with two code words; 3) the effect of limiting. Approximations are obtained for small quantizing loss, the case of greatest interest since the object of correlation decoding is high efficiency. For a 7-bit biorthogonal code and a total of 16 quantum levels the increase in error rate is computed as a function of the quantum interval, and an optimum is found.\",\"PeriodicalId\":134522,\"journal\":{\"name\":\"IEEE Transactions on Communication Technology\",\"volume\":\"70 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1967-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Communication Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TCOM.1967.1089615\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Communication Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TCOM.1967.1089615","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The increase in error rate due to quantizing is examined for the special case of a digital correlation decoder such as can be used for orthogonal and other block codes. Three types of effect are considered separately: 1) the increase in variance, which is proportional to the square of the quantum interval; 2) a threshold, proportional to the quantum interval, caused by the ambiguity when the received signal correlates equally with two code words; 3) the effect of limiting. Approximations are obtained for small quantizing loss, the case of greatest interest since the object of correlation decoding is high efficiency. For a 7-bit biorthogonal code and a total of 16 quantum levels the increase in error rate is computed as a function of the quantum interval, and an optimum is found.