Probability, random processes, and estimation theory for engineers
Probability, random processes, and estimation theory for engineers
Signal processing with alpha-stable distributions and applications
Signal processing with alpha-stable distributions and applications
A practical guide to heavy tails: statistical techniques and applications
A practical guide to heavy tails: statistical techniques and applications
Array Signal Processing: Concepts and Techniques
Array Signal Processing: Concepts and Techniques
Global Optimization by Multilevel Coordinate Search
Journal of Global Optimization
IEEE Transactions on Signal Processing
Maximum likelihood localization of sources in noise modeled as astable process
IEEE Transactions on Signal Processing
Robust maximum likelihood source localization: the case for sub-Gaussian versus Gaussian
IEEE Transactions on Audio, Speech, and Language Processing
Alpha-stable modeling of noise and robust time-delay estimation inthe presence of impulsive noise
IEEE Transactions on Multimedia
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In this paper we present an alternative to the Gaussian and Cauchy distributions for modeling stochastic signals. The proposed model has the same impulsiveness as the Cauchy density, but it is derived as a sub-Gaussian process, i.e., a variance mixture of Gaussian random variables.We proceed to use the derived model in the problem of signal parameter estimation through the use of multisensor data. Both the data and noise are assumed to be stochastic. The main problem of interest is the estimation of the DOA and statistics of the signal. A maximum likelihood algorithm is presented for the solution of this problem, and a pseudomaximum-likelihood separable solution approach is derived. Finally, simulations are presented to demonstrate the robustness of the proposed algorithm.