{"title":"广义谐波分析(GHA)算法","authors":"T. Muraoka, S. Kiriu, Y. Kamiya","doi":"10.1109/MWSCAS.2004.1354114","DOIUrl":null,"url":null,"abstract":"Generalized harmonic analysis (GHA) proposed by Wiener (1958) is a fine tool in time-frequency resolution because it expresses signal using almost-periodic function. However, the method is rarely utilized because it involves a large amount of calculation. High efficiency algorithm for GHA was developed first by Hirata, and was further improved recently in a reduction of calculation amount. However, they were not enough in accuracy. Starting from the Hirata's algorithm, the authors have achieved a high-speed, highly accurate GHA algorithm by improvement in the calculation method of sine and cosine coefficients and subdivision of a frequency scale.","PeriodicalId":185817,"journal":{"name":"The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04.","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Algorithm for generalized harmonic analysis (GHA)\",\"authors\":\"T. Muraoka, S. Kiriu, Y. Kamiya\",\"doi\":\"10.1109/MWSCAS.2004.1354114\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Generalized harmonic analysis (GHA) proposed by Wiener (1958) is a fine tool in time-frequency resolution because it expresses signal using almost-periodic function. However, the method is rarely utilized because it involves a large amount of calculation. High efficiency algorithm for GHA was developed first by Hirata, and was further improved recently in a reduction of calculation amount. However, they were not enough in accuracy. Starting from the Hirata's algorithm, the authors have achieved a high-speed, highly accurate GHA algorithm by improvement in the calculation method of sine and cosine coefficients and subdivision of a frequency scale.\",\"PeriodicalId\":185817,\"journal\":{\"name\":\"The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04.\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS.2004.1354114\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.2004.1354114","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized harmonic analysis (GHA) proposed by Wiener (1958) is a fine tool in time-frequency resolution because it expresses signal using almost-periodic function. However, the method is rarely utilized because it involves a large amount of calculation. High efficiency algorithm for GHA was developed first by Hirata, and was further improved recently in a reduction of calculation amount. However, they were not enough in accuracy. Starting from the Hirata's algorithm, the authors have achieved a high-speed, highly accurate GHA algorithm by improvement in the calculation method of sine and cosine coefficients and subdivision of a frequency scale.
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