{"title":"用近似快速哈特利变换计算DFT","authors":"How Sun Dee, V. Jeoti","doi":"10.1109/ISSPA.2001.949785","DOIUrl":null,"url":null,"abstract":"We propose an approximate fast Hartley transform (FHT) based method to compute the discrete Fourier transform (DFT) coefficients approximately. The approximate FHT is implemented using a periodic discrete wavelet transform (DWT). We find that the proposed method is computationally superior to both the radix 2 fast Fourier transform (FFT) and also the radix 2 approximate FFT algorithms.","PeriodicalId":236050,"journal":{"name":"Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Computing DFT using approximate fast Hartley transform\",\"authors\":\"How Sun Dee, V. Jeoti\",\"doi\":\"10.1109/ISSPA.2001.949785\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose an approximate fast Hartley transform (FHT) based method to compute the discrete Fourier transform (DFT) coefficients approximately. The approximate FHT is implemented using a periodic discrete wavelet transform (DWT). We find that the proposed method is computationally superior to both the radix 2 fast Fourier transform (FFT) and also the radix 2 approximate FFT algorithms.\",\"PeriodicalId\":236050,\"journal\":{\"name\":\"Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)\",\"volume\":\"34 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISSPA.2001.949785\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISSPA.2001.949785","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computing DFT using approximate fast Hartley transform
We propose an approximate fast Hartley transform (FHT) based method to compute the discrete Fourier transform (DFT) coefficients approximately. The approximate FHT is implemented using a periodic discrete wavelet transform (DWT). We find that the proposed method is computationally superior to both the radix 2 fast Fourier transform (FFT) and also the radix 2 approximate FFT algorithms.