An adaptive linear function elimination filter

This paper presents an analysis of a linear function elimination filter (LFEF) with adaptive feedback decision applied to the coherent detection ASK-system. Using the adaptive feedback decision permits a more precise estimation of the predictor coefficient, whose value depends on the input signal spectrum. The theoretical analysis of adaptive feedback decision system is based on the finite state Markov chain. An estimation of the probability of error is given in comparison with the probability of error for such a filter without a feedback decision system. The experimental results of testing this filter for detecting the binary ASK signal in the presence of both sinusoidal interference and gaussian noise confirm the obtained theoretical results.