{"title":"Effect of spatial smoothing on state space methods/ESPRIT","authors":"B. Rao, K. Hari","doi":"10.1109/SPECT.1990.205523","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205523","url":null,"abstract":"Results concerning the effect of using a spatially smoothed forward-backward covariance matrix on the performance of state space methods/ESPRIT for the direction of arrival (DOA) estimation using a uniformly spaced linear sensor array (ULA) are presented. Compact expressions for the asymptotic mean squared error in the estimates of the signal zeros and the DOA estimates are derived. Some general properties of the estimates are derived which lend insight into the effect of spatial smoothing and the forward-backward approach on state space methods/ESPRIT. An optimally weighted state space method/ESPRIT algorithm is also presented. The results indicate that by properly choosing the number of subarrays used for spatial smoothing, the performance of the method can be greatly enhanced.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117027370","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}
{"title":"Modeling arbitrary polynomial bispectra using systems with multiplicity in one- and two-dimensions","authors":"A. T. Erdem, A. Tekalp","doi":"10.1109/SPECT.1990.205574","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205574","url":null,"abstract":"Introduces a new class of systems, called systems with multiplicity (SWM), to model arbitrary polynomial bispectra. It is shown that an arbitrary polynomial bispectrum of a one-dimensional (1-D) process can always be modeled using an SWM with FIR components. Experimental results for the identification of SWM based on their output bispectra using a proposed method are then presented. In two-dimensions (2-D), it is shown that an arbitrary polynomial bispectrum cannot always be modeled using an SWM with 2-D FIR components, although a given SWM with 2-D FIR components can be identified using the bispectrum of its output.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114695510","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}
{"title":"Set theoretic autoregressive spectral estimation","authors":"P. L. Combettes, H. Trussell","doi":"10.1109/SPECT.1990.205587","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205587","url":null,"abstract":"Presents the set theoretic approach in autoregressive (AR) spectral estimation. Conventional AR estimates, which are based on some criterion of optimality, may violate a priori constraints on the problem. In the framework of set theoretic estimation, one produces an estimate of the regression vector which has the property of being consistent with all the available a priori knowledge. Each known property being associated with a set in the regression space, the problem is then to find a common point of these sets.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127393440","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}
{"title":"On the equivalence of uniform circular arrays and uniform linear arrays","authors":"A. Tewfik, W. Hong","doi":"10.1109/SPECT.1990.205562","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205562","url":null,"abstract":"The problem of estimating the directions of arrivals of narrowband plane waves impinging on a uniform circular array with N identical sensors uniformly distributed around a circle is considered. It is shown that for this problem the uniform circular array is equivalent to a uniform linear array with N elements. Specifically, if the number of sensors N is odd and large enough then a linear combination of the inverse discrete Fourier transform of the sensor outputs yields a sequence of measurements z(n)= Sigma A/sub m/ exp(jn theta m), where theta /sub m/ is the angle of arrival of the mth plane wave. This sequence can then be processed using ROOT MUSIC or any other modern line spectral estimation technique as if it came from a uniform linear array. An advantage of using the transformed sequence is that it has a higher signal-to-noise ratio than the array output sequence.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122055764","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}
{"title":"Performance evaluation of Marple modified FBLP and MINNORM methods for angle of arrival estimation using real multipath active sonar data","authors":"D. Le jeune, P. Jarry, A. Salaun, M. Kerbrat","doi":"10.1109/SPECT.1990.205606","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205606","url":null,"abstract":"In underwater passive listening, the high-resolution direction-finding methods which employ an eigendecomposition of the estimated covariance matrix, are likely to work satisfactorily, even at relatively low signal-to-noise ratio (SNR) if the sensor parameters and the wavefront are well-known. In the field of active sonar, the observation time can be low and the asymptotic properties of the eigenstructure methods not verified. This can be compensated by higher SNR which permits the utilisation of AR methods. The authors present the results of an experiment in a water dock with a solid cylinder suspended near the water surface. The investigated methods are Marple, MFBLP, and MINNORM.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134073802","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}
{"title":"Recursive algorithm for state space spectrum estimation","authors":"W. Edmonson, W. Alexander","doi":"10.1109/SPECT.1990.205588","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205588","url":null,"abstract":"A new method is proposed for implementing an adaptive state space filter. This method is based upon the matrix minimum principle of optimal control theory. The adaptive state space filter is a two part algorithm. The first part is a recursive algorithm for optimizing a predictor matrix which describes the transformation from past data to future data. A matrix steepest descent algorithm is developed for use as the update equation in optimizing the predictor matrix. The second part determines the system parameters from the optimized predictor matrix by the decomposition of the predictor matrix and the use of projection techniques. The result is the estimation of the innovations realization which can further describe the spectral characteristics of the model.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134458984","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}
{"title":"Cramer-Rao bounds for location of unknown multiple sources in a multipath environment","authors":"J. Moura","doi":"10.1109/SPECT.1990.205552","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205552","url":null,"abstract":"The authors derive expressions for the Cramer-Rao bound on the location parameters of several stochastic sources. The source signals are Gaussian, with unknown mean and variance parameters. In this way, they are able to derive expressions that encompass the commonly considered models of unknown deterministic and zero-mean stochastic source signals. The inverse of the Cramer-Rao bound for the location parameters is the sum of two components, one representing the information in the mean of the observations, and the other associated to its stochastic nature. Both these components are equal to the information for the corresponding known source signal case minus a loss term due to lack of knowledge of the source signal moments.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134357695","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}
{"title":"Variable-windowed spectrograms: connecting Cohen's class and the wavelet transform","authors":"Jechang Jeong, W. J. Williams","doi":"10.1109/SPECT.1990.205589","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205589","url":null,"abstract":"Defines a class of time-frequency representations called variable-windowed spectrograms (VWS), and explores the link between the two independently developed categories of time-frequency representations: Cohen's class and the wavelet transform (WT). By expanding upon the conventional (fixed-windowed) spectrogram, the VWS provides flexible time-frequency localizations depending on the selection of the variable (i.e., time- and frequency-dependent) windows. It is shown that the VWS is a subclass of Cohen's class and that a particular constraint on the window of the VWS produces a distribution which is equivalent to the modulus squared of a WT. Some aspects of the VWS are discussed in the ambiguity, temporal correlation, spectral correlation, and time-frequency domains.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132868370","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}
{"title":"Bias and variance analysis of MUSIC location estimates","authors":"Xiao-Liang Xu, K. Buckley","doi":"10.1109/SPECT.1990.205602","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205602","url":null,"abstract":"Presents a statistical performance analysis of the MUSIC location estimator. Explicit and concise asymptotical expressions for both the bias and variance of MUSIC location estimates are derived for multiple source cases. These expressions are valid over a wide range of SNR extending down into the resolution threshold region of MUSIC, where analysis is of particular interest. These expressions, though asymptotical, can also be accurately applied to limited number of observation cases. In comparison with previous analysis, this new statistical analysis results in significantly less complicated statistics and derivations and is more general in that it accurately examines both the bias and variance of MUSIC location estimates. Further, this analysis approach can be applied to other eigenspace spatial-spectrum based location estimators.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121844615","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}
{"title":"Estimation of sinusoids by adaptive minimum norm extrapolation","authors":"S. Cabrera, Jan-Ti Yang, Chao-Hsin Chi","doi":"10.1109/SPECT.1990.205541","DOIUrl":"https://doi.org/10.1109/SPECT.1990.205541","url":null,"abstract":"A series of algorithms are described in order of increasing complexity and improved performance. The original scheme of Papoulis and Chamzas (1979) serves as a model for the remaining algorithms. After a review and evaluation of their method, more direct approaches which require less iterations and perform better are then developed by considering adaptive algorithms which produce exact extrapolations at each step. Adaptive conventional bandlimited extrapolation is shown to provide good results in a much smaller number of iterations. Adaptive weighted norm extrapolation which incorporates a spectrum estimation step, rather than thresholding, is then shown to provide almost exact results in the absence of noise. A brief comparison with the principal component linear prediction method is included. The ability to incorporate a priori knowledge about the frequency locations is provided and the potential benefits of its use are briefly illustrated.<<ETX>>","PeriodicalId":117661,"journal":{"name":"Fifth ASSP Workshop on Spectrum Estimation and Modeling","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123515708","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}