We introduce a new class of distributions called generalized complex elliptically symmetric distributions. Several distributions commonly used in the literature, for example, the multivariate complex normal and Cauchy...
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ISBN:
(纸本)0780385454
We introduce a new class of distributions called generalized complex elliptically symmetric distributions. Several distributions commonly used in the literature, for example, the multivariate complex normal and Cauchy and the generalized complex normal distribution, are prominent members of this class. The treatment covers both proper and improper random vectors and goes beyond second-order concepts in defining the distribution model. Some properties of these distributions are Studied and illustrative examples of their applications in multichannelsignalprocessing are presented such as tests for circularity.
This paper extends the Extended Kalman Filter (EKF) to cover those scenarios in which the input signal is unknown and quadratic processing is required to estimate and track some parameters of interest. The optimal qua...
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ISBN:
(纸本)0780385454
This paper extends the Extended Kalman Filter (EKF) to cover those scenarios in which the input signal is unknown and quadratic processing is required to estimate and track some parameters of interest. The optimal quadratic tracker is found to incorporate the fourth-order statistical knowledge about the excitation signal. To illustrate these conclusions, we have studied the problem of direction-of-arrival (DOA) tracking of digitally-modulated signals. Simulations have reflected the advantage of considering this information in terms of acquisition and steady-state performance.
This paper derives the Haar measure over the set of unitary matrices. The Haar measure is essential when studying the statistical behavior of complex sample covariance matrices in terms of their eigenvalues and eigenv...
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ISBN:
(纸本)0780385454
This paper derives the Haar measure over the set of unitary matrices. The Haar measure is essential when studying the statistical behavior of complex sample covariance matrices in terms of their eigenvalues and eigenvectors. The characterization is based on Murnaghans parameterization of unitary matrices which can be seen as a generalization of the representation of orthogonal matrices using Givens rotations. In addition to deriving the Haar measure, an efficient method to obtain samples from it is also presented.
In presence of general array error in a uniform circular arrays (UCAs), estimation of azimuth and elevation for a Source is proposed. Based on array manifold in UCAs, the spatial frequency that is related to DOA is ga...
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ISBN:
(纸本)0780385454
In presence of general array error in a uniform circular arrays (UCAs), estimation of azimuth and elevation for a Source is proposed. Based on array manifold in UCAs, the spatial frequency that is related to DOA is gained and theoretical expression for its asymptotic variance and the Cramer-Rao Bound (CRB) of estimation is derived. The ambiguous problem is analyzed. The azimuth and elevation of source are estimated by Weight Total Least Squares. The results of simulation show that the performance of the estimation is close to the CRB.
This paper is concerned with a new accelerated RLS adaptive beamforming algorithm applied to fast moving mobile terminals. The proposed algorithm is based on the internal model principle by approximately expressing th...
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ISBN:
(纸本)0780385454
This paper is concerned with a new accelerated RLS adaptive beamforming algorithm applied to fast moving mobile terminals. The proposed algorithm is based on the internal model principle by approximately expressing the parameter changes in terms of polynomial time functions, and can rapidly track the multipath fading environment. We show that the amount of calculation of the proposed algorithm is almost the same as that of the ordinary RLS adaptive beamforming, and its effectiveness is examined in numerical simulations.
This paper investigates an adaptive beamforming technique that is robust against imperfect knowledge of signal and interference arrival directions, antenna calibration errors and other similar imperfections. The propo...
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ISBN:
(纸本)9781467310710
This paper investigates an adaptive beamforming technique that is robust against imperfect knowledge of signal and interference arrival directions, antenna calibration errors and other similar imperfections. The proposed technique is based on Generalized Sidelobe Canceller but uses Slepian sequences in both the steering and blocking lobes of the algorithm. Only Slepians corresponding to large spectral concentrations are used in the branches. The theoretical results are verified in a simulation study.
In this paper we evaluate the performance of a Tripole array for estimation of the polarization and one dimensional direction of arrival (DOA). We employ a model based on far-field calculations of a Tripole antenna an...
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ISBN:
(纸本)0780385454
In this paper we evaluate the performance of a Tripole array for estimation of the polarization and one dimensional direction of arrival (DOA). We employ a model based on far-field calculations of a Tripole antenna and completely polarized electromagnetic waves carrying Gaussian distributed signals. The analysis of the performance is based on calculations of the Cramer-Rao Lower Bound (CRLB) for the polarization and DOA estimators. It is seen that the Tripole array is suitable for polarization estimation with or without knowledge of the DOA. It is also seen that the quality of the DOA estimate depends strongly on the polarization state.
In this paper, we propose a method for estimating the number of sources based on the eigenvectors of the covariance matrix of a narrowband array. The proposed method provides the same detection sensitivity as AIC and ...
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ISBN:
(纸本)0780385454
In this paper, we propose a method for estimating the number of sources based on the eigenvectors of the covariance matrix of a narrowband array. The proposed method provides the same detection sensitivity as AIC and MDL, but appears to be much more robust to signal and noise model perturbations. Unlike AIC and MDL that do not make use of the procedure used in calibrating the antenna array, the proposed method can use the calibrated antenna responses to take into account the existing nonidealities present in the antenna array, and hence outperforming AIC and MDL methods in practice.
In this paper we derive a generic signalprocessing model for oversampled linear antenna arrays based on network theory and Nyquist sampling theory. The theoretical model is verified with experimental data collected o...
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ISBN:
(纸本)9781467310710
In this paper we derive a generic signalprocessing model for oversampled linear antenna arrays based on network theory and Nyquist sampling theory. The theoretical model is verified with experimental data collected on an HF OTHR receive array.
We present a definition of a dual-frequency dual-wavenumber cross-spectrum of two nonstationary and inhomogeneous harmonizable random fields, which is in fact a generalization of the Loeve (dual-frequency) cross-spect...
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ISBN:
(纸本)0780385454
We present a definition of a dual-frequency dual-wavenumber cross-spectrum of two nonstationary and inhomogeneous harmonizable random fields, which is in fact a generalization of the Loeve (dual-frequency) cross-spectrum of two random processes. Furthermore, a geometric argument shows that a proper normalization yields a natural measure of cross-coherence, and application of the Cauchy-Schwarz inequality results in a necessary and sufficient condition for full cross-coherence. Finally, estimators of the cross-spectrum and the cross-coherence based on the multitaper approach are suggested, and tested on synthetic arrayprocessing data.
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