Pub Date : 1997-07-21DOI: 10.1109/HOST.1997.613479
G. Shor, H. Messer
Time delay estimation (TDE) processors for non-Gaussian conditions have previously been developed and it has also been shown that exploiting the non-Gaussianity of the processes can lead to improved performance, relative to the Gaussian case. However, while for the Gaussian case standard tools (such as the Cramer-Rao bound) can easily be applied to predict the achievable performance, for the general non-Gaussian case using such tools rarely leads to analytical solutions. In this paper we present a close-form expression for a figure of merit (FOM) for any TDE processor under any statistical model. It is then evaluated for different TDE processors and it is confirmed (by simulations) that the proposed FOM accurately predicts the performance of these processors for reasonable values of the time-bandwidth product.
{"title":"Performance evaluation of time-delay estimation in non-Gaussian conditions","authors":"G. Shor, H. Messer","doi":"10.1109/HOST.1997.613479","DOIUrl":"https://doi.org/10.1109/HOST.1997.613479","url":null,"abstract":"Time delay estimation (TDE) processors for non-Gaussian conditions have previously been developed and it has also been shown that exploiting the non-Gaussianity of the processes can lead to improved performance, relative to the Gaussian case. However, while for the Gaussian case standard tools (such as the Cramer-Rao bound) can easily be applied to predict the achievable performance, for the general non-Gaussian case using such tools rarely leads to analytical solutions. In this paper we present a close-form expression for a figure of merit (FOM) for any TDE processor under any statistical model. It is then evaluated for different TDE processors and it is confirmed (by simulations) that the proposed FOM accurately predicts the performance of these processors for reasonable values of the time-bandwidth product.","PeriodicalId":305928,"journal":{"name":"Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"1 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1997-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122585497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1997-07-21DOI: 10.1109/HOST.1997.613500
M. Ghogho
Second-order statistics (SOS) have been widely used for the detection and estimation of coherent sinusoids in additive wide-band noise. This paper addresses the detection and estimation of harmonics which have been corrupted by both multiplicative and additive noise, HOS are useful in estimating harmonics of zero mean amplitude where SOS generally fail. The paper analyses and compares the performance of SOS and HOS when the harmonic has both coherent and non-coherent powers. We determine thresholds on the coherent-to-non-coherent sine wave power ratio which delimitate the regions of optimality of SOS and HOS. Gaussian as well as non-Gaussian noise sources are studied.
{"title":"Second-order statistics versus HOS for the estimation of harmonics in additive and multiplicative noise","authors":"M. Ghogho","doi":"10.1109/HOST.1997.613500","DOIUrl":"https://doi.org/10.1109/HOST.1997.613500","url":null,"abstract":"Second-order statistics (SOS) have been widely used for the detection and estimation of coherent sinusoids in additive wide-band noise. This paper addresses the detection and estimation of harmonics which have been corrupted by both multiplicative and additive noise, HOS are useful in estimating harmonics of zero mean amplitude where SOS generally fail. The paper analyses and compares the performance of SOS and HOS when the harmonic has both coherent and non-coherent powers. We determine thresholds on the coherent-to-non-coherent sine wave power ratio which delimitate the regions of optimality of SOS and HOS. Gaussian as well as non-Gaussian noise sources are studied.","PeriodicalId":305928,"journal":{"name":"Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1997-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129595232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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