Bounds on performance for the noisy reference PSK channel

A lower bound is derived for the uncoded error probability of coherent digital phase-shift-keying without making any assumptions on phase-locked loop speed. An improved upper bound on bit error probability is also derived. The results are applicable to both lightwave homodyne detection, in which the laser´s phase noise must be taken into account, and to general partially coherent detection of (binary phase-shift-keying) over the additive white Gaussian noise channel when a noisy phase reference is derived. Bit-error-rate and cut-off bounds are presented