Self-adjustment channel rank based on reordered cholesky factorization

This paper presents a self-adjustment of the length of the channel impulse response using a classical Cholesky Factorization. This is of special importance in the context of algorithms containing a matrix inversion and the rank of this matrix is strongly related to the length of the channel impulse, i.e. interferer cancellation algorithm [1]. When the length of the channel impulse response is overestimated, the matrix inversion is carried out with a singular matrix. A self-adjustment is then required to avoid an increase in the noise level.