Regularized Estimate of the Weight Vector of an Adaptive Interference Canceller

Abstract

We consider an adaptive multi-channel interference canceller, which ensures the minimum value of the average output power of interference. It is proposed to form the weight vector of such a canceller as the power-vector expansion. It is shown that this approach allows one to obtain an exact analytical solution for the optimal weight vector by using the procedure of the power-vector orthogonalization. In the case of a limited number of the input-process samples, the solution becomes ill-defined and its regularization is required. An effective regularization method, which ensures a high degree of the interference suppression and does not involve the procedure of inversion of the correlation matrix of interference, is proposed, which significantly reduces the computational cost of the weight-vector estimation.