Statistical Signal Processing of Complex-Valued Data: The Theory of Improper and Noncircular Signals

By Peter J. Schreier, Louis L. Scharf. 2010

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Empirical Bayesian regularization of the inverse acoustic problem (2015, background): “[55, 56] for a good support and to Ref.”
Complex-Valued Signal Processing: The Proper Way to Deal With Impropriety (2011, background): “More detailed discussions of higher order statistics, Taylor series expansions, and characteristic functions for improper random vectors are provided in [11], [42], and [115].”
Robust Estimation in Signal Processing: A Tutorial-Style Treatment of Fundamental Concepts (2012, background): “Due to lack of space, we only treat the case where the complex-valued random vectors are circular, such that the complementary covariance matrix (also pseudo-covariance matrix or relation matrix) [46], E 31Z2m 2 1Z2m 2^4 , is zero.”
Widely Linear Digital Self-Interference Cancellation in Direct-Conversion Full-Duplex Transceiver (2014, methodology): “sample size N , XaugXaug can be approximated with ensemble augmented covariance matrix Rx,aug of transmit data x(n) [37], that is”