Mean absolute value and standard deviation of the phase of a constant vector plus a rayleigh-distributed vector

The mean absolute value of the phase and t he s tandard d eviation of the phase of a constant vector plus a R ayleigh-distributed vector are d etermined by an evalu aLio n of t he fir st and second moment integrals of the probabili ty distribution for various values of a verage relative intensity of t he ra ndom R ayleigh-distributed component. The results of a quadrature evaluation of the integrals are ta bulated over a wide range of values of average relative intensity (k2 = 0.01O to 1,000).