An Identification Algorithm for FIR Systems from Binary Output Measurements

The present study deals with a new identification algorithm from binary output measurements. The study focuses on the class of Finite Impulse Response (FIR) systems. The proposed algorithm is based on the estimation of correlation functions. A geometric interpretation is proposed and leads to a formulation of the algorithm using a Singular Value Decomposition (SVD). A convergence analysis is proposed showing the mean-square convergence with a rate of $\mathscr{O}\left(N^{-1}\right)$ , Monte Carlo simulations are proposed to confirm performance.