{"title":"基数22 FFT的有限字长分析","authors":"H. Rey, C. Galarza","doi":"10.5281/ZENODO.38166","DOIUrl":null,"url":null,"abstract":"In this paper, we analyze the quantization error effects of the radix-22 FFT algorithm. We propose per tone models for the error power. This is a different approach from the common choice of a maximum or mean value over the spectrum. In particular, we treat three different errors: due to input quantization, due to coefficient quantization and due to quantization after a multiplication. This analysis is applied to a DMT scheme. Simulation results agree with the theoretical predictions.","PeriodicalId":347658,"journal":{"name":"2004 12th European Signal Processing Conference","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Finite word length analysis of the radix-22 FFT\",\"authors\":\"H. Rey, C. Galarza\",\"doi\":\"10.5281/ZENODO.38166\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we analyze the quantization error effects of the radix-22 FFT algorithm. We propose per tone models for the error power. This is a different approach from the common choice of a maximum or mean value over the spectrum. In particular, we treat three different errors: due to input quantization, due to coefficient quantization and due to quantization after a multiplication. This analysis is applied to a DMT scheme. Simulation results agree with the theoretical predictions.\",\"PeriodicalId\":347658,\"journal\":{\"name\":\"2004 12th European Signal Processing Conference\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2004 12th European Signal Processing Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5281/ZENODO.38166\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2004 12th European Signal Processing Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.38166","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we analyze the quantization error effects of the radix-22 FFT algorithm. We propose per tone models for the error power. This is a different approach from the common choice of a maximum or mean value over the spectrum. In particular, we treat three different errors: due to input quantization, due to coefficient quantization and due to quantization after a multiplication. This analysis is applied to a DMT scheme. Simulation results agree with the theoretical predictions.
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