In this thesis, we drive a variety of results for a phase offset correcting algorithm (POCA) used in order to compensate for the channel phase caused by the imperfection of a carrier recovery. Both the theoretical results and computer simulation show that the loop gain is highly dependent on the echo and signal power. We present the new type of a POCA. Normalizing the loop gain by the time-average of a correcting phase term, in case of a first order POCA and by the echo power, in case of a second order POCA, this dependence is reduced somewhat and cancelled perfectly, respectively.