{"title":"统一复Hadamard变换的一种计算算法","authors":"S. Rahardja, S. Xie","doi":"10.1109/ISSPA.2003.1224843","DOIUrl":null,"url":null,"abstract":"This paper focuses on the study of unified complex Hadamard transforms (UCHT) whose transformation matrices contain elements /spl plusmn/1 and /spl plusmn/i. New properties of the UCHT are presented. From the newly discovered properties, the UCHT is conveniently calculated by computing real Walsh Hadamard transform (WHT) of real and imaginary parts of a set of data, which are multiplied by a set of constant complex values, and multiplying the transformed values by some constant complex factors.","PeriodicalId":264814,"journal":{"name":"Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings.","volume":"164 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"An algorithm to compute unified complex Hadamard transform\",\"authors\":\"S. Rahardja, S. Xie\",\"doi\":\"10.1109/ISSPA.2003.1224843\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper focuses on the study of unified complex Hadamard transforms (UCHT) whose transformation matrices contain elements /spl plusmn/1 and /spl plusmn/i. New properties of the UCHT are presented. From the newly discovered properties, the UCHT is conveniently calculated by computing real Walsh Hadamard transform (WHT) of real and imaginary parts of a set of data, which are multiplied by a set of constant complex values, and multiplying the transformed values by some constant complex factors.\",\"PeriodicalId\":264814,\"journal\":{\"name\":\"Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings.\",\"volume\":\"164 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISSPA.2003.1224843\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISSPA.2003.1224843","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An algorithm to compute unified complex Hadamard transform
This paper focuses on the study of unified complex Hadamard transforms (UCHT) whose transformation matrices contain elements /spl plusmn/1 and /spl plusmn/i. New properties of the UCHT are presented. From the newly discovered properties, the UCHT is conveniently calculated by computing real Walsh Hadamard transform (WHT) of real and imaginary parts of a set of data, which are multiplied by a set of constant complex values, and multiplying the transformed values by some constant complex factors.