In modems for burst transmission of digital data, rapid carrier and clock s
ynchronization are essential. Typically, frequency correction occurs prior
to phase recovery since estimators are sensitive to frequency offsets. In t
his paper, we derive the bit error rate (BER) performance of a M-ary phase
shift keying (MPSK) receiver in a closed form when there is no frequency of
fset estimator. Then we derive a relationship of the required burst length
for certain BER with frequency offset estimator. To obtain the BER=10(-4),
approximately we need the burst length of 101 at E-b/N-0=10 dB and 69 at E-
b/N-0=15 dB.