Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246783
A. Nehorai, E. Paldi
The authors introduce a wave frame model and define the covariance of vector angular frame model (CVAE) in this frame. A lower bound is derived on the CVAE for source direction and orientation estimation. An explicit expression for the CVAE matrix bound is found to be diagonal, easy to interpret, and having only intrinsic singularities. A relationship is also provided between the CVAE and the mean-square angular error quality measure.<>
{"title":"Electromagnetic vector sensor processing in the wave frame","authors":"A. Nehorai, E. Paldi","doi":"10.1109/SSAP.1992.246783","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246783","url":null,"abstract":"The authors introduce a wave frame model and define the covariance of vector angular frame model (CVAE) in this frame. A lower bound is derived on the CVAE for source direction and orientation estimation. An explicit expression for the CVAE matrix bound is found to be diagonal, easy to interpret, and having only intrinsic singularities. A relationship is also provided between the CVAE and the mean-square angular error quality measure.<<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":"129802823","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.1992.246837
L. Cohen, K. Assaleh, A. Fineberg
The concept of instantaneous bandwidth introduced by Cohen and Lee (1990) is used to explain 'formant bandwidth' as used in speech analysis. An explicit expression for the formant bandwidth in terms of the parameters of the components of the speech signal is given. The result is verified using real and simulated speech signals and a simple plausibility argument is given. It is argued that instantaneous bandwidth has greater applicability since it does not have to be defined only within a pitch period.<>
{"title":"Instantaneous bandwidth and formant bandwidth","authors":"L. Cohen, K. Assaleh, A. Fineberg","doi":"10.1109/SSAP.1992.246837","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246837","url":null,"abstract":"The concept of instantaneous bandwidth introduced by Cohen and Lee (1990) is used to explain 'formant bandwidth' as used in speech analysis. An explicit expression for the formant bandwidth in terms of the parameters of the components of the speech signal is given. The result is verified using real and simulated speech signals and a simple plausibility argument is given. It is argued that instantaneous bandwidth has greater applicability since it does not have to be defined only within a pitch period.<<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":"129632689","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.1992.246884
F. Li, H. Liu
The new approach includes the steps of preprocessing to extract structure, several subspace methods (ESPRIT, MUSIC, and Min-Norm) to estimate time delay of seismic arrival at each sensor, and postprocessing. The advantages are high resolution and less computation.<>
{"title":"A high-resolution approach to simultaneously estimate seismic stacking velocity and zero-offset time","authors":"F. Li, H. Liu","doi":"10.1109/SSAP.1992.246884","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246884","url":null,"abstract":"The new approach includes the steps of preprocessing to extract structure, several subspace methods (ESPRIT, MUSIC, and Min-Norm) to estimate time delay of seismic arrival at each sensor, and postprocessing. The advantages are high resolution and less computation.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"35 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":"126963792","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.1992.246857
A. Quinn
The author adopts a strong Bayesian philosophy and derives the marginal inference for the nonlinear parameters in a general deterministic signal model, having integrated over the linear terms. The marginal inference is shown to embody Ockham's razor in an objective manner via the Ockham parameter inference. From this, a new definition of hypothesis complexity, is proposed. The marginal inference provides a means of testing the status of an alternative-free hypothesis, thereby unifying the detection and estimation tasks. Robust estimates may then be inferred below the thresholds for maximum likelihood estimation. The analysis is extended to a multi-hypothesis environment, using the example of a periodic model of unknown order. The fundamental frequency is estimated in a unified procedure which can either (i) simultaneously estimate the model order, or (ii) marginalize analytically over the model order. Both techniques confer improved inferential consistency and a much reduced numerical load when compared with the popular evidence-based technique, which is also described.<>
{"title":"A unified approach to model-based signal processing using Bayesian marginal inference","authors":"A. Quinn","doi":"10.1109/SSAP.1992.246857","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246857","url":null,"abstract":"The author adopts a strong Bayesian philosophy and derives the marginal inference for the nonlinear parameters in a general deterministic signal model, having integrated over the linear terms. The marginal inference is shown to embody Ockham's razor in an objective manner via the Ockham parameter inference. From this, a new definition of hypothesis complexity, is proposed. The marginal inference provides a means of testing the status of an alternative-free hypothesis, thereby unifying the detection and estimation tasks. Robust estimates may then be inferred below the thresholds for maximum likelihood estimation. The analysis is extended to a multi-hypothesis environment, using the example of a periodic model of unknown order. The fundamental frequency is estimated in a unified procedure which can either (i) simultaneously estimate the model order, or (ii) marginalize analytically over the model order. Both techniques confer improved inferential consistency and a much reduced numerical load when compared with the popular evidence-based technique, which is also described.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"114 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":"122619326","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.1992.246780
A. Satish, R. Kashyap
The estimation of DOA and associated signal parameters from the observations received by isotropic sensors in additive noise medium is considered. The DOAs and signal parameters to be estimated are functions of number of snapshots (N), number of sensors(M), signal-to-noise ratio (SNR), separation, phi /sub d/ and correlation between the sources, theta . Different criterion functions for low and for high SNR are obtained by suitable approximations choosing relevant terms depending upon the nature of the parameters. In the first step, expressions are derived for the estimates of the signal power (spectral density in the wideband instance) and noise power. In step two, these are used to estimate the DOA angles. Simulation results for narrowband signals show the performance of the proposed method. The estimation approach could be extended for wideband signals.<>
{"title":"An approximate maximum likelihood method for estimation of direction of arrival parameters","authors":"A. Satish, R. Kashyap","doi":"10.1109/SSAP.1992.246780","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246780","url":null,"abstract":"The estimation of DOA and associated signal parameters from the observations received by isotropic sensors in additive noise medium is considered. The DOAs and signal parameters to be estimated are functions of number of snapshots (N), number of sensors(M), signal-to-noise ratio (SNR), separation, phi /sub d/ and correlation between the sources, theta . Different criterion functions for low and for high SNR are obtained by suitable approximations choosing relevant terms depending upon the nature of the parameters. In the first step, expressions are derived for the estimates of the signal power (spectral density in the wideband instance) and noise power. In step two, these are used to estimate the DOA angles. Simulation results for narrowband signals show the performance of the proposed method. The estimation approach could be extended for wideband signals.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"706 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":"116511742","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}
Under the assumption that noise correlation is spatially limited, using two separated arrays, the authors propose a new parametric approach for consistent directions-of-arrival estimations in unknown noise environments. The theoretical performance analysis of the proposed DOA estimations is presented. With the use of the theoretical performance, the best weighting matrices of the parametric criteria have been derived. More significantly, it has been shown that within the best weighted criteria, using canonical decomposition, one can achieve optimal performance among a large set of eigendecompositions.<>
在噪声相关性空间有限的假设下，作者利用两个分离的阵列，提出了一种新的参数方法，用于在未知噪声环境中进行一致的到达方向估计。文中对所提出的 DOA 估计进行了理论性能分析。利用理论性能，得出了参数标准的最佳加权矩阵。更重要的是，研究表明，在最佳加权准则范围内，利用规范分解，可以在大量的eigendecompositions中获得最佳性能。
{"title":"Optimal array signal processing in unknown noise environments via parametric approaches","authors":"Qiang Wu, K. M. Wong, J. Reilly","doi":"10.1117/12.130934","DOIUrl":"https://doi.org/10.1117/12.130934","url":null,"abstract":"Under the assumption that noise correlation is spatially limited, using two separated arrays, the authors propose a new parametric approach for consistent directions-of-arrival estimations in unknown noise environments. The theoretical performance analysis of the proposed DOA estimations is presented. With the use of the theoretical performance, the best weighting matrices of the parametric criteria have been derived. More significantly, it has been shown that within the best weighted criteria, using canonical decomposition, one can achieve optimal performance among a large set of eigendecompositions.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"59 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":"128460307","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.1992.246788
H. Lee, R. Stovall
The paper addresses both the problems of estimating DOA from a single array snapshot, and also from a sequence of array snapshots possibly having different polarizations. The principal result is identification of the maximum likelihood estimator of DOA. The associated estimation algorithm is designated as the dual beam scan (DBS) Algorithm. For large signal-to-noise ratios the DBS algorithm is unbiased, and has minimum variance. The DBS computational requirements are modest, and similar to those of conventional monopulse processors. Specifically the eigenanalyses associated with the extended MUSIC algorithm are bypassed.<>
{"title":"A simple efficient algorithm for determining the direction of arrival for a single emitter with unknown polarization","authors":"H. Lee, R. Stovall","doi":"10.1109/SSAP.1992.246788","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246788","url":null,"abstract":"The paper addresses both the problems of estimating DOA from a single array snapshot, and also from a sequence of array snapshots possibly having different polarizations. The principal result is identification of the maximum likelihood estimator of DOA. The associated estimation algorithm is designated as the dual beam scan (DBS) Algorithm. For large signal-to-noise ratios the DBS algorithm is unbiased, and has minimum variance. The DBS computational requirements are modest, and similar to those of conventional monopulse processors. Specifically the eigenanalyses associated with the extended MUSIC algorithm are bypassed.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"53 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133141472","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.1992.246825
A. T. Erdem, M. Sezan
The observed images are allowed to be spatially shifted with respect to one another, and the observation noise is assumed to be Gaussian. An algorithm is proposed that recovers the image by separately reconstructing its Fourier phase and Fourier log-magnitude, in the least-squares sense, from the modulo-2 pi phase and log-magnitude of the bispectrum of the image estimated from the given noisy observations. A technique proposed by the authors is used to unwrap the modulo-2 pi bispectral phase and to reconstruct the Fourier phase of the image. Experimental results demonstrate the performance of the proposed algorithm.<>
{"title":"Least-squares reconstruction of an image from its noisy observations using the bispectrum","authors":"A. T. Erdem, M. Sezan","doi":"10.1109/SSAP.1992.246825","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246825","url":null,"abstract":"The observed images are allowed to be spatially shifted with respect to one another, and the observation noise is assumed to be Gaussian. An algorithm is proposed that recovers the image by separately reconstructing its Fourier phase and Fourier log-magnitude, in the least-squares sense, from the modulo-2 pi phase and log-magnitude of the bispectrum of the image estimated from the given noisy observations. A technique proposed by the authors is used to unwrap the modulo-2 pi bispectral phase and to reconstruct the Fourier phase of the image. Experimental results demonstrate the performance of the proposed algorithm.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"25 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":"114158862","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.1992.246848
C. Griffin, I. Kirsteins
A new algorithm for estimating the arrival-times and Doppler-shifts of overlapping signal pulses is based on an extension of a procedure for high resolution time-delay estimation. This approach can exploit prior information from ocean acoustic propagation models about the interference structure.<>
{"title":"Signal resolution in low Doppler interference","authors":"C. Griffin, I. Kirsteins","doi":"10.1109/SSAP.1992.246848","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246848","url":null,"abstract":"A new algorithm for estimating the arrival-times and Doppler-shifts of overlapping signal pulses is based on an extension of a procedure for high resolution time-delay estimation. This approach can exploit prior information from ocean acoustic propagation models about the interference structure.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"14 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":"126057589","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.1992.246796
J. W. Silverstein, P. L. Combettes
This paper brings into play elements of the spectral theory of such matrices and demonstrates their relevance to source detection and bearing estimation in problems with sizable arrays. These results are applied to the sample spatial covariance matrix, R, of the sensed data. It is seen that detection can be achieved with a sample size considerably less than that required by conventional approaches. It is argued that more accurate estimates of direction of arrival can be obtained by constraining R to be consistent with various a priori constraints including those arising from large dimensional random matrix theory. A set theoretic formalism is used for this feasibility problem. Unsolved issues are discussed.<>
{"title":"Large dimensional random matrix theory for signal detection and estimation in array processing","authors":"J. W. Silverstein, P. L. Combettes","doi":"10.1109/SSAP.1992.246796","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246796","url":null,"abstract":"This paper brings into play elements of the spectral theory of such matrices and demonstrates their relevance to source detection and bearing estimation in problems with sizable arrays. These results are applied to the sample spatial covariance matrix, R, of the sensed data. It is seen that detection can be achieved with a sample size considerably less than that required by conventional approaches. It is argued that more accurate estimates of direction of arrival can be obtained by constraining R to be consistent with various a priori constraints including those arising from large dimensional random matrix theory. A set theoretic formalism is used for this feasibility problem. Unsolved issues are discussed.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"59 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":"126726563","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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