In this article, we propose an improvement of a recently introduced algebraic approach for the non-asymptotic state and parameter estimation of nonlinear systems. In particular, we increase the robustness of the estimation method with respect to zero mean, high frequency, measurement noises by introducing a so-called invariant filtering technique. In order… (More)
A lower bound and the union upper bound of the bit error rate (BER) of the maximum-likelihood (ML) receiver of an optical On/Off-Keying (OOK) system is derived in this paper. Combining the two bounds, the BER of the ML receiver can be estimated.