Blind identification of FIR systems excited by discrete-alphabet inputs

An algorithm for the identification of finite-impulse-response (FIR) system parameters from output measurements, for systems excited by discrete-alphabet inputs, is described. The approach taken is algebraic. It does not rely directly on the statistical properties of the measurements, but rather it essentially solves the nonlinear equations appearing in the problem by converting them to equivalent linear equations, using the discrete-alphabet property of the input signal. The proposed algorithm was tested by computer simulations and some of these simulations are illustrated.>