SEP_MPSK

SEP_MPSK returns the symbol error probability (SEP) for coherent M-ary Phase Shift Keying (M-PSK) in a communication channel.

The function SEP_MPSK determines the phase error probability of the phase of a vector in Gaussian noise when the reference is noiseless for M-ary PSK communication channels. The method employs a new closed-form analytical solution for arbitrary phase threshold to the Blachmann-Bennett phase error distribution, in terms of signal-to-noise ratio γ,

The new approach employs the incomplete confluent (incomplete Kummer) hypergeometric function, based on the incomplete beta-Pochhammer, , for Incidentally, this is also a solution to the Craig integral

The beta-Pochhammer , (when ) is the bivariate counterpart of the single variable Pochhammer,. Further details and references are given in the help section of SEP_MPSK.