Mathematics of Kalman-Bucy Filtering
Mathematics of Kalman-Bucy Filtering
An introduction to signal detection and estimation (2nd ed.)
An introduction to signal detection and estimation (2nd ed.)
Second-order statistics of complex signals
IEEE Transactions on Signal Processing
Second-order analysis of improper complex random vectors and processes
IEEE Transactions on Signal Processing
Widely linear estimation with complex data
IEEE Transactions on Signal Processing
Kinematics of Complex-Valued Time Series
IEEE Transactions on Signal Processing
Detection and estimation of improper complex random signals
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
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In this paper, the problem of estimating an improper complex-valued random signal in colored noise with an additive white part is addressed. We tackle the problem from a mathematical perspective and emphasize the advantages of this rigorous treatment. The formulation considered is very general in the sense that it permits us to estimate any functional of the signal of interest. Finally, the superiority of the widely linear estimation with respect to the conventional estimation techniques is both theoretically and experimentally illustrated.