Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246842
S. Puechmorel, B. Lacaze
This paper shows how to construct integral operators adapted to a given time-frequency energy distribution. The phase function, which is an extension of the phase omega t of the classical Fourier transform, makes it possible to construct an integral operator. The transform is adapted when the partial derivative delta phi / delta t is the instantaneous frequency of the signal.<>
{"title":"Optimal transforms related to path in the time-frequency plane","authors":"S. Puechmorel, B. Lacaze","doi":"10.1109/SSAP.1992.246842","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246842","url":null,"abstract":"This paper shows how to construct integral operators adapted to a given time-frequency energy distribution. The phase function, which is an extension of the phase omega t of the classical Fourier transform, makes it possible to construct an integral operator. The transform is adapted when the partial derivative delta phi / delta t is the instantaneous frequency of the signal.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"126 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133291055","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 : 1992-10-07DOI: 10.1109/SSAP.1992.246864
J.M.M. Anderson, G. Giannakis
Given a single record, the authors consider the problem of estimating the harmonics of a signal buried in noise. The observed data is modeled as a superposition of sinusoids plus stationary, zero-mean additive Gaussian noise of unknown covariance. Novel higher-order statistics, referred to as 'mixed' cumulants, are appropriate for certain types of mixed processes. After a consistent HOS-based linear estimate, an improved estimate is computed via mixed-cumulant matching. Issues regarding quadratic coupling are addressed. The performance of the proposed method is examined via simulations.<>
{"title":"HOS-based harmonic retrieval: a deterministic formulation","authors":"J.M.M. Anderson, G. Giannakis","doi":"10.1109/SSAP.1992.246864","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246864","url":null,"abstract":"Given a single record, the authors consider the problem of estimating the harmonics of a signal buried in noise. The observed data is modeled as a superposition of sinusoids plus stationary, zero-mean additive Gaussian noise of unknown covariance. Novel higher-order statistics, referred to as 'mixed' cumulants, are appropriate for certain types of mixed processes. After a consistent HOS-based linear estimate, an improved estimate is computed via mixed-cumulant matching. Issues regarding quadratic coupling are addressed. The performance of the proposed method is examined via simulations.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132136755","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 : 1992-10-07DOI: 10.1109/SSAP.1992.246806
L. G. Weiss, R. K. Young
For a nearfield sensor array, wideband signals, and moving scatterers or sensors, beamforming may not be valid. The signals received at different sensors may no longer be delayed versions of one another. To localize wideband, nearfield, and/or moving sources, a wideband spatial processor is presented. Applicable to both active and passive processing, it relies on a new relation that expresses the wideband correlation receiver output as an affine convolution of two wavelet transforms; the wideband spreading function is convolved with an auto ambiguity function. This new expression is then deconvolved to obtain a high resolution estimate of the wideband spreading function.<>
{"title":"Wideband spatial processing with wavelet transforms","authors":"L. G. Weiss, R. K. Young","doi":"10.1109/SSAP.1992.246806","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246806","url":null,"abstract":"For a nearfield sensor array, wideband signals, and moving scatterers or sensors, beamforming may not be valid. The signals received at different sensors may no longer be delayed versions of one another. To localize wideband, nearfield, and/or moving sources, a wideband spatial processor is presented. Applicable to both active and passive processing, it relies on a new relation that expresses the wideband correlation receiver output as an affine convolution of two wavelet transforms; the wideband spreading function is convolved with an auto ambiguity function. This new expression is then deconvolved to obtain a high resolution estimate of the wideband spreading function.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"55 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113981288","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 : 1992-10-07DOI: 10.1109/SSAP.1992.246803
E.J. Baranoski
A new source-independent subspace technique for adaptive array processing applications incorporates sidelobe control in the subspace selection process. The subspace is determined solely by the desired mainbeam width and a priori knowledge of the array manifold, and is therefore independent of the directional interference environment. This technique achieves significant computational savings since a data-dependent subspace does not have to computed. Due to the subspace construction, the algorithm provides enhanced sidelobe control while still achieving nulling performance comparable with other subspace techniques.<>
{"title":"Source-independent subspace projection","authors":"E.J. Baranoski","doi":"10.1109/SSAP.1992.246803","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246803","url":null,"abstract":"A new source-independent subspace technique for adaptive array processing applications incorporates sidelobe control in the subspace selection process. The subspace is determined solely by the desired mainbeam width and a priori knowledge of the array manifold, and is therefore independent of the directional interference environment. This technique achieves significant computational savings since a data-dependent subspace does not have to computed. Due to the subspace construction, the algorithm provides enhanced sidelobe control while still achieving nulling performance comparable with other subspace techniques.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125197262","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 : 1992-10-07DOI: 10.1109/SSAP.1992.246782
S. Sathyanarayana Rao, R. Raman
Xu and Kailath have proposed (1992) a fast algorithm for signal subspace decomposition that exploits the special matrix structure associated with signal subspace algorithms. This work presents some modifications which eliminate the need to estimate the noise eigenvalue in order to estimate the orthonormal basis of an ideal covariance matrix. The algorithm yields the exact signal subspace and in so doing yields the exact subspace dimension. The modifications presented reduce the computational load by at least a factor of four.<>
{"title":"Signal subspace decomposition of ideal covariance matrices","authors":"S. Sathyanarayana Rao, R. Raman","doi":"10.1109/SSAP.1992.246782","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246782","url":null,"abstract":"Xu and Kailath have proposed (1992) a fast algorithm for signal subspace decomposition that exploits the special matrix structure associated with signal subspace algorithms. This work presents some modifications which eliminate the need to estimate the noise eigenvalue in order to estimate the orthonormal basis of an ideal covariance matrix. The algorithm yields the exact signal subspace and in so doing yields the exact subspace dimension. The modifications presented reduce the computational load by at least a factor of four.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127434823","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 : 1992-10-07DOI: 10.1109/SSAP.1992.246829
S. C. Chan, C. Kok
A flexible and efficient approach for computing the bispectrum of finite duration determistic signals on polar rasters is proposed. The contour consists of equally spaced points over an arbitrary portion on the given slice. Using the Chirp Z-transform to interpolate the discrete-time Fourier transform, linear interpolation of the bispectral points, as required in a previous algorithm is avoided. The formulation is very general and applicable to computation of other high order spectra.<>
{"title":"An efficient and flexible algorithm for computing the higher order spectrum","authors":"S. C. Chan, C. Kok","doi":"10.1109/SSAP.1992.246829","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246829","url":null,"abstract":"A flexible and efficient approach for computing the bispectrum of finite duration determistic signals on polar rasters is proposed. The contour consists of equally spaced points over an arbitrary portion on the given slice. Using the Chirp Z-transform to interpolate the discrete-time Fourier transform, linear interpolation of the bispectral points, as required in a previous algorithm is avoided. The formulation is very general and applicable to computation of other high order spectra.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116371405","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 : 1992-10-07DOI: 10.1109/SSAP.1992.246828
Chong-Yung Chi, J. Kung
This paper proposes a new filtering algorithm for linear time-invariant systems with only non-Gaussian output measurements contaminated by Gaussian noise. Some simulation results demonstrate that the algorithm works well.<>
{"title":"A new cumulant based inverse filtering algorithm for identification and deconvolution of nonminimum-phase systems","authors":"Chong-Yung Chi, J. Kung","doi":"10.1109/SSAP.1992.246828","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246828","url":null,"abstract":"This paper proposes a new filtering algorithm for linear time-invariant systems with only non-Gaussian output measurements contaminated by Gaussian noise. Some simulation results demonstrate that the algorithm works well.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"181 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116141442","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 : 1992-10-07DOI: 10.1109/SSAP.1992.246818
Eric Moulines, K. Choukri, M. Sharbit
These tests are based on quadratic form in deviations of certain sample statistics from their ensemble counterpart, minimised with respect to the unknown parameters. They are shown to converge under the null hypothesis to a chi-squared distribution. A specific test is developed on the basis of the difference between the sample estimate and the ensemble average characteristic functions. Preliminary results demonstrate the discriminative power of the test against various types of alternatives.<>
{"title":"Testing that a multivariate stationary time-series is Gaussian","authors":"Eric Moulines, K. Choukri, M. Sharbit","doi":"10.1109/SSAP.1992.246818","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246818","url":null,"abstract":"These tests are based on quadratic form in deviations of certain sample statistics from their ensemble counterpart, minimised with respect to the unknown parameters. They are shown to converge under the null hypothesis to a chi-squared distribution. A specific test is developed on the basis of the difference between the sample estimate and the ensemble average characteristic functions. Preliminary results demonstrate the discriminative power of the test against various types of alternatives.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129424285","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 : 1992-10-07DOI: 10.1109/SSAP.1992.246800
P. Brouwer, J. Ozard
A modified reduced minimum variance (MRMV) beamformer has been proposed to enhance performance. Computer simulations with and without mismatch are used to investigate the performance of the MV and MRMV beamformers for horizontal, vertical and billboard arrays. With MV processing, mismatch in the form of errors in sensor positions reduced the performance of all array types. Simulations showed the MRMV consistently outperformed MV for all array configurations even when no mismatch was present. A reduction of time-bandwidth affected the potentially superior performance of arrays with horizontal extent to a much greater degree than vertical arrays.<>
{"title":"Effect of reduced beamformers on matched-field performance for various array configurations","authors":"P. Brouwer, J. Ozard","doi":"10.1109/SSAP.1992.246800","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246800","url":null,"abstract":"A modified reduced minimum variance (MRMV) beamformer has been proposed to enhance performance. Computer simulations with and without mismatch are used to investigate the performance of the MV and MRMV beamformers for horizontal, vertical and billboard arrays. With MV processing, mismatch in the form of errors in sensor positions reduced the performance of all array types. Simulations showed the MRMV consistently outperformed MV for all array configurations even when no mismatch was present. A reduction of time-bandwidth affected the potentially superior performance of arrays with horizontal extent to a much greater degree than vertical arrays.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129896419","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 : 1992-10-07DOI: 10.1109/SSAP.1992.246817
H. Parthasarathy, S. Prasad, S. Joshi
Two algorithms are proposed for estimating the quadratically coupled frequency pairs (QC pairs) in a signal consisting of complex sinusoids in white noise, which may be nonGaussian in general. Three matrices are constructed from the complex third order moments of the noisy signal, the latter two being time shifted versions of the first. The list of coupled frequencies is obtained from the rank reducing numbers of the matrix pencil formed from the first matrix and either of the latter two. The first algorithm then pairs these components by relating quadratic coupling to the intersection of generalized eigenspaces corresponding to two of these frequencies. The coupling strengths are obtained in terms of generalized eigenvectors in this intersection space. The second algorithm constructs a two-parameter matrix pencil using all three matrices. The rank reducing pairs of this pencil on the unit circle yield the QC, pairs and the associated generalized eigenvector yields the coupling strength.<>
{"title":"An ESPRIT-like algorithm for the estimation of quadratic phase coupling","authors":"H. Parthasarathy, S. Prasad, S. Joshi","doi":"10.1109/SSAP.1992.246817","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246817","url":null,"abstract":"Two algorithms are proposed for estimating the quadratically coupled frequency pairs (QC pairs) in a signal consisting of complex sinusoids in white noise, which may be nonGaussian in general. Three matrices are constructed from the complex third order moments of the noisy signal, the latter two being time shifted versions of the first. The list of coupled frequencies is obtained from the rank reducing numbers of the matrix pencil formed from the first matrix and either of the latter two. The first algorithm then pairs these components by relating quadratic coupling to the intersection of generalized eigenspaces corresponding to two of these frequencies. The coupling strengths are obtained in terms of generalized eigenvectors in this intersection space. The second algorithm constructs a two-parameter matrix pencil using all three matrices. The rank reducing pairs of this pencil on the unit circle yield the QC, pairs and the associated generalized eigenvector yields the coupling strength.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130733386","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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