Blind channel identification of MISO systems based on the CP decomposition of cumulant tensors

We consider a Multiple-Input Single-Output Finite Impulse Response system. We are interested in the identifying channel parameters only from output signal. Our approach is based on fitting higher-order cumulants in a least squares sense which yields a polynomial optimization problem. Using the link between the problem and the Parallel Factor decomposition of a structured third-order tensor we derive a cheap algorithm for identifying the parameters of MISO system.