ADAPTIVE SYMBOL-BY-SYMBOL RECEPTION OF MPSK ON THE GAUSSIAN-CHANNEL WITH UNKNOWN CARRIER PHASE CHARACTERISTICS

An adaptive version of the optimum, decision-aided, symbol-by-symbol r eceiver obtained in our previous works for M-ary phase shift keying ov er the Gaussian channel with unknown carrier phase characteristics is considered, It uses a first-order adaptive filter for carrier referenc e tracking, and the filter gain is adapted on-line based on the observ ed signal samples using a least-mean-square-error criterion. The phase tracking performance of the filter in the steady-state tracking mode is analyzed using a linearized model. The phase tracking error varianc e is minimized due to the risk function used in designing the filter g ain adaptation algorithm. The bit-error probability for quadrature pha se shift-keying is obtained, both analytically and via computer simula tions.