{"title":"Non-parametric detection of a class of cyclo-stationary signals in stationary colored non-Gaussian noise using non-stationary higher order spectra","authors":"G. R. Wilson, K. Baugh","doi":"10.1109/SSAP.1992.246814","DOIUrl":null,"url":null,"abstract":"This paper considers specifically the sum of coherently related narrowband signals of unknown frequencies and amplitudes. It employs the method of non-stationary higher order spectra (NSHOS) and develops a detection statistic based on the non-stationary bispectrum. Within the domain that excludes the stationary HOS, the NSHOS detection statistics as asymptotically zero for any type of stationary colored Gaussian or non-Gaussian noise, while within the domain of the stationary HOS they are zero for any type of stationary colored Gaussian or symmetric non-Gaussian noise. The detection performance is compared analytically and experimentally with the more traditional power spectrum method based on a periodogram detection statistic for Gaussian and nonGaussian noise.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSAP.1992.246814","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
This paper considers specifically the sum of coherently related narrowband signals of unknown frequencies and amplitudes. It employs the method of non-stationary higher order spectra (NSHOS) and develops a detection statistic based on the non-stationary bispectrum. Within the domain that excludes the stationary HOS, the NSHOS detection statistics as asymptotically zero for any type of stationary colored Gaussian or non-Gaussian noise, while within the domain of the stationary HOS they are zero for any type of stationary colored Gaussian or symmetric non-Gaussian noise. The detection performance is compared analytically and experimentally with the more traditional power spectrum method based on a periodogram detection statistic for Gaussian and nonGaussian noise.<>
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