The state space framework for blind dynamic signal extraction and recovery

The paper describes a framework in the form of an optimization of a performance index subject to the constraints of a dynamic network, represented in the state space. The performance index is a measure of statistical dependence among the outputs of the network, namely, the relative entropy also known as the Kullback-Leibler divergence. The network is represented as (either discrete or continuous time) state space dynamics. Update laws are derived in the general cases. Moreover, in the discrete-time case, they are shown to specialize in the FIR and IIR network representations.

[1]  Fathi M. A. Salam,et al.  Real time separation of audio signals using digital signal processors , 1997, Proceedings of 40th Midwest Symposium on Circuits and Systems. Dedicated to the Memory of Professor Mac Van Valkenburg.

[2]  Andrzej Cichocki,et al.  A New Learning Algorithm for Blind Signal Separation , 1995, NIPS.

[3]  Lang Tong,et al.  Waveform-preserving blind estimation of multiple independent sources , 1993, IEEE Trans. Signal Process..

[4]  Fathi M. A. Salam,et al.  An adaptive network for blind separation of independent signals , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[5]  Gamze Erten,et al.  Blind Signal Separation and Recovery in Dynamic Environments , 1997 .