{"title":"用于高精度瞬时频率估计的可变传输零点滤波器的设计","authors":"Keisuke Takao, Takahiro Natori, N. Aikawa","doi":"10.1109/MWSCAS47672.2021.9531907","DOIUrl":null,"url":null,"abstract":"The instantaneous frequency of a sine wave can be estimated using a Hilbert transformer. However, there is a ripple in the amplitude characteristics of finite-order Hilbert transformers. The estimate thus contains an oscillatory component that depends on this ripple. In this paper, we theoretically show that the frequency of the oscillation component is an even multiple of the input signal frequency. We propose a method for designing a low-pass FIR filter with variable transmission zeros. A simulation is used to show that this filter improves estimation accuracy.","PeriodicalId":6792,"journal":{"name":"2021 IEEE International Midwest Symposium on Circuits and Systems (MWSCAS)","volume":"6 1","pages":"395-399"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Design of filters with variable transmission zeros for highly accurate instantaneous frequency estimation\",\"authors\":\"Keisuke Takao, Takahiro Natori, N. Aikawa\",\"doi\":\"10.1109/MWSCAS47672.2021.9531907\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The instantaneous frequency of a sine wave can be estimated using a Hilbert transformer. However, there is a ripple in the amplitude characteristics of finite-order Hilbert transformers. The estimate thus contains an oscillatory component that depends on this ripple. In this paper, we theoretically show that the frequency of the oscillation component is an even multiple of the input signal frequency. We propose a method for designing a low-pass FIR filter with variable transmission zeros. A simulation is used to show that this filter improves estimation accuracy.\",\"PeriodicalId\":6792,\"journal\":{\"name\":\"2021 IEEE International Midwest Symposium on Circuits and Systems (MWSCAS)\",\"volume\":\"6 1\",\"pages\":\"395-399\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 IEEE International Midwest Symposium on Circuits and Systems (MWSCAS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS47672.2021.9531907\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 IEEE International Midwest Symposium on Circuits and Systems (MWSCAS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS47672.2021.9531907","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Design of filters with variable transmission zeros for highly accurate instantaneous frequency estimation
The instantaneous frequency of a sine wave can be estimated using a Hilbert transformer. However, there is a ripple in the amplitude characteristics of finite-order Hilbert transformers. The estimate thus contains an oscillatory component that depends on this ripple. In this paper, we theoretically show that the frequency of the oscillation component is an even multiple of the input signal frequency. We propose a method for designing a low-pass FIR filter with variable transmission zeros. A simulation is used to show that this filter improves estimation accuracy.
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