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Discrete Time Lyapunov Stable MIMO Adaptive Interference Cancelation

Adaptive interference cancelation is of vital importance in a broad array of scientific and engineering disciplines. In this paper we develop a closed-loop discrete-time interference cancelation algorithm. The novel features of this algorithm are its ability to deal with multiple channels being affected by interferences with different frequency spectrums. Furthermore we provide a proof of Lyapunov stability of closed loop system and asymptotically perfect interference cancelation for a class of interference signals.