{"title":"Dynamical Systems for Principal Singular Subspace Analysis","authors":"M. Hasan","doi":"10.1109/SAM.2006.1677175","DOIUrl":"https://doi.org/10.1109/SAM.2006.1677175","url":null,"abstract":"The computation of the principal subspaces is an essential task in many signal processing and control applications. In this paper novel dynamical systems for finding the principal singular subspace and/or components of arbitrary matrix are developed. The proposed dynamical systems are gradient flows or weighted gradient flows derived from the optimization of certain objective functions over orthogonal constraints. Global asymptotic stability analysis and domains of attractions of these systems are examined via Liapunov theory and LaSalle invariance principle. Weighted versions of these methods for computing principal singular components are also given. Qualitative properties of the proposed systems are analyzed in detail","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115334815","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":"Forward-Looking Planar Array 3D-STAP using Space Time Illumination Patterns (STIP)","authors":"P. Corbell, M. Temple, T. D. Hale","doi":"10.1109/SAM.2006.1706205","DOIUrl":"https://doi.org/10.1109/SAM.2006.1706205","url":null,"abstract":"Close-in sensing is needed for urban warfare operations, where ground moving target indication (GMTI) could be provided via forward or rear-facing multi-function array radars mounted on small highly-maneuverable airborne platforms. However, airborne radar arrays oriented any direction other than side-looking cause an elevation dependent angle-Doppler relationship in the clutter returns. This non-stationarity is acute in close-in sensing geometries where elevation diversity exists over the scene of interest. However, planar arrays have an inherent advantage over linear arrays due to their ability to observe clutter statistics as a function of elevation. This paper demonstrates the utility of elevation diversity by synthesizing a single 3D-STAP filter that exhibits an elevation dependent azimuth-Doppler response which is tailored to null the clutter \"bowl\" which characterizes the forward-looking clutter spectrum. Such a capability is particularly exploitable on transmit, where all elevation angles are simultaneously illuminated. To demonstrate potential benefits, this paper proposes the use of recently developed space time illumination patterns (STIP) from a planar AESA to invoke elevation diverse space-time illumination in a forward-looking clutter scenario. It is shown that 3D-STIP (azimuth-elevation-Doppler) facilitates elevation specific space-time beamforming which removes the clutter energy from a given Doppler frequency across all ranges, potentially simplifying processing on receive. Simulations using synthesized training data and clairvoyant covariance knowledge are conducted to demonstrate proof-of-concept","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116020953","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 Analysis of Linear Predictive Super-Resolution Processing for Antenna Arrays","authors":"Honglei Chen, D. Kasilingam","doi":"10.1109/SAM.2006.1706112","DOIUrl":"https://doi.org/10.1109/SAM.2006.1706112","url":null,"abstract":"Many applications in array processing require a high resolution beamforming method. For example, spatial division multiple access (SDMA) has been proposed to achieve higher system capacity in wireless systems. Implicit in SDMA is the ability to adaptively generate narrow antenna beam patterns, which ensures the physical separation between users and minimizes multiple user interference. However, antenna theory requires large antenna apertures to generate narrow beam patterns. This paper discusses an adaptive algorithm for extrapolating measurements from a small antenna array to a much larger virtual array. The technique utilizes linear prediction (LP) methods to perform the extrapolation. A least mean square (LMS) based algorithm was used to estimate the LP coefficients. Since the algorithm is linear, it serves both as a direction-of-arrival (DoA) estimator and a matched filter for retrieving the transmitted signal. Other popular high-resolution algorithms such as MUSIC are inherently nonlinear and thus cannot be used on their own for retrieving signal information. The performance of this algorithm is studied with respect to interference suppression, noise and spatial resolution. It is shown that the HR filter representing the LP process has poles corresponding to the DoA of the signal. The resulting LP coefficients can eliminate the interference between signals from different transmitters. However, no improvement in noise performance is seen because the receiver noise couples into the extrapolation process when two transmitters are closely located. The extrapolation algorithm is compared with the LCMV algorithm and found to produce similar results","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116313604","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":"MUSIC using Off-Origin Hessians of the Second Characteristic Function","authors":"A. Yeredor","doi":"10.1109/SAM.2006.1706116","DOIUrl":"https://doi.org/10.1109/SAM.2006.1706116","url":null,"abstract":"In its classical form, the multiple signal classification (MUSIC) algorithm applies eigen-decomposition to the estimated correlation matrix of the noisy sensors' outputs in order to estimate the directions of arrival (DOAs) of several sources. When the noise is spatially white, consistent estimates of the DOAs are obtained. However, when the noise is spatially correlated (and / or has different variances at different sensors), the correlation-based MUSIC cannot produce consistent DOA estimates, unless the noise covariance is known in advance. To mitigate this drawback, the use of certain matrices of higher order statistics (HOS), mainly fourth-order cumulants, has been proposed, which can still lead to consistent DOA estimates when the noise is not spatially white, as long as it has a Gaussian distribution. However, estimates of the required HOS often introduce larger variances; Moreover, if the sources happen to have null cumulants of the chosen order, they remain unaccounted for in the algorithm. In this paper we propose a new target-matrix to substitute HOS as the input to MUSIC. Our target matrix is based on subtracting the observations' correlation matrix from Hessians of their second characteristic function, evaluated at several \"processing points\". These Hessians are related to the array steering-vectors (hence to the DOAs) in the same way as the correlation matrix, and can be easily estimated from the data. The subtraction of the correlation matrices eliminates (asymptotically) the effect of any additive independent Gaussian noise, hence maintaining consistency. We demonstrate the attainable improvement in comparative simulation","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122950015","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":"Multiple Window Bispectrum Estimator","authors":"Huixia He, D. Thomson","doi":"10.1109/SAM.2006.1706179","DOIUrl":"https://doi.org/10.1109/SAM.2006.1706179","url":null,"abstract":"By taking the third-order statistical information of processes into account, the bispectrum is a useful tool in digital signal processing and statistics. The paper proposes a nonparametric approach of estimating the bispectrum, using tapers designed to achieve maximal bifrequency concentration. Bispectra are functions of two frequencies plus their sum, so the optimum tapers are not products of Slepian sequences. The new tapers minimize the sixth-moment \"energy\" leakage in the estimate, and thus the new multiple window bispectrum estimator (MWBE) can be interpreted as minimizing the broad-band bias. Alternatively, the MWBE can be viewed as a solution of an integral inverse problem using an eigenfunction expansion. This approach can be extended to estimate higher-order polyspectra. Numerical simulations use moving average (MA) data with non-Gaussian white driving noise. Simulation results with small sample sizes show that this new MWBE is feasible and mean-squared error (MSE) optimal","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123826162","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 Proposal Functions for Cost-Reference Particle Filtering","authors":"M. Bugallo, M. Vemula, P. Djuric","doi":"10.1109/SAM.2006.1706181","DOIUrl":"https://doi.org/10.1109/SAM.2006.1706181","url":null,"abstract":"Standard particle filtering (SPF) schemes rely on the availability of probability distributions of the state and observation noises involved in the dynamic state space model. Cost reference particle filtering (CRPF) techniques have proven to be a viable and robust alternative in situations when the probability distributions of these noise processes are unknown. In this paper, we propose two new CRPF methods which use different proposal functions from the one of the original CRPF method. The proposed algorithms are applied to target tracking in a wireless sensor network. The performance of the proposed methods is demonstrated by computer simulations","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125169745","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":"Semi-Blind Source Separation for Memoryless Volterra Channels in UWB and its Uniqueness","authors":"N. Petrochilos, K. Witrisal","doi":"10.1109/SAM.2006.1706197","DOIUrl":"https://doi.org/10.1109/SAM.2006.1706197","url":null,"abstract":"We study in this article the output of an autocorrelation receiver for a delay-hopped transmitted-reference ultra-wideband (UWB) communications systems with multiple access. Next to a linear multi-input multi-output (MIMO) channel, this receiver generates quadratic channels consisting of cross-product between original sources. Hence the received signal is the output of a multi-user (MU) MIMO Volterra channel, which can be ensured to be memoryless. We propose a novel blind algorithm to perform source separation and a semi-blind version of it. After demonstrating its effectiveness, we discuss the uniqueness problem for linear-quadratic channels with binary input","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126328582","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 Analysis of Quantifying Fluorescence of Target-Captured Microparticles from Microscopy Images","authors":"P. Sarder, A. Nehorai","doi":"10.1109/SAM.2006.1706139","DOIUrl":"https://doi.org/10.1109/SAM.2006.1706139","url":null,"abstract":"Fluorescence microscopy imaging is widely used in biomedical research, astronomical speckle imaging, remote sensing, positron-emission tomography, and many other applications. In companion papers P. Sarder and A. Nchorai, we developed a maximum likelihood (ML)-based image deconvolution technique to quantify fluorescence signals from a three-dimensional (3D) image of a target captured microparticle ensemble. We assumed both the additive Gaussian and Poisson statistics for the noise. Imaging is performed by using a confocal fluorescence microscope system. Potential application of microarray technology includes security, environmental monitoring, analyzing assays for DNA or protein targets, functional genomics, and drug development. We proposed a new parametric model of the fluorescence microscope 3D point-spread function (PSF) in terms of basis functions. In this paper, we present a performance analysis of the ML-based deconvolution techniques (P. Sarder and A. Nchorai) for both the noise models","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116677308","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 Lower Bound for Prior-Subspace Estimation","authors":"Remy Boyer, G. Bouleux","doi":"10.1109/SAM.2006.1706162","DOIUrl":"https://doi.org/10.1109/SAM.2006.1706162","url":null,"abstract":"In the context of the localization of digital multi-source, we can sometimes assume that we have some a priori knowledge of the location/direction of several sources. In that situation, some works have proposed to tacking into account of this knowledge to improve the localization of the unknown sources. These solutions are based on an orthogonal deflation of the signal subspace. In this paper, we derive the Cramer-Rao lower bound for orthogonally deflated MIMO model and we show that the estimation schemes based on this model can help the estimation of the unknown DOA in some limit situations as for coherent or highly correlated sources but cannot totally cancel the influence of the known directions, in particular for uncorrelated sources with closely-spaced DOA with finite number of sensors","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121864392","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":"VisiBuilding: Sensing through Walls","authors":"E. Baranoski","doi":"10.1109/SAM.2006.1706221","DOIUrl":"https://doi.org/10.1109/SAM.2006.1706221","url":null,"abstract":"Seeing into buildings is vital for success in urban combat. This paper discusses the VisiBuilding, which provides standoff building penetrating sensing: find insurgents inside of buildings, provide building layouts (walls, room, stairs, doorways), and identify weapons caches, shielded rooms, etc","PeriodicalId":272327,"journal":{"name":"Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131099323","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}