Modelling of a SISO and MIMO non linear communication channel using two modelling techniques
WSEAS Transactions on Circuits and Systems
Modelling and identification of MIMO non linear communication channel
ACMOS'09 Proceedings of the 11th WSEAS international conference on Automatic control, modelling and simulation
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The equalization of nonlinear systems is an important application of Volterra filters. The pth-order inverse is one of the important approaches of Volterra equalization, but up to the present it has only been applied to the single-input multiple-output (SISO) case. The convergence of the Volterra filter equalization and the error bound using the pth-order approximation equalizer instead of the Volterra equalizer have not yet been reported. In this paper, we generalize this method to the multi-input and multi-output (MIMO) Volterra filter case, and discuss the convergence of Volterra filter equalization and the error bound using the pth-order approximation equalizer instead of the Volterra equalizer. The concept of local I/sub 2/ stability for the MIMO Volterra filter is first introduced, and then the algorithmic formula of the pth-order inverse is presented by using the multi-dimensional z-transform. In the end, the convergence of the MIMO Volterra filter equalization and the error bound using the pth-order approximation equalizer instead of the Volterra equalizer are discussed. The proposed algorithms are corroborated with a simulation example.