منابع مشابه
Diagonalisation of covariance matrices in quaternion widely linear signal processing
Recent developments in quaternion-valued widely linear processing have established that the exploitation of complete second-order statistics requires consideration of both the standard covariance and the three complementary covariance matrices. Although such matrices have a tremendous amount of structure and their decomposition is a powerful tool in a variety of applications, the noncommutative...
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The division algebra of real quaternions, as the only noncommutative normed division real algebra up to isomorphism of normed algebras, is of great importance. In this note, first we present a brief introduction to quaternion matrices and quaternion linear algebra. This, among other things, will help us present the counterpart of a theorem of Herman Auerbach in the setting of quaternions. More ...
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The augmented complex Kalman filter (ACKF) has been recently proposed for the modeling of noncircular complexvalued signals for which widely linear modelling is more suitable than a strictly linear model. This has been achieved in the context of neural network training, however, the extent to which the ACKF outperforms the conventional complex Kalman filter (CCKF) in standard adaptive filtering...
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The stereophonic acoustic echo cancellation (SAEC) problem is usually modelled as a twoinput/two-output system with real random variables. Recently, the SAEC scheme was recast as a single-input/single-output system with complex random variables, thanks to the widely linear (WL) model. In this paper, we motivate the use of a more general form of the Kalman filter with the WL model for SAEC. Simu...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2010
ISSN: 1053-587X,1941-0476
DOI: 10.1109/tsp.2010.2048323