This paper presents upper bounds on the average bit error rate (BER) of coh
erent detection of PSK and differential detection of DPSK with adaptive arr
ays in fading environments. A model where a line of sight (LOS) component a
nd Rayleigh distributed scattering components arrive at a receiver with spe
cific arrival angles is used considering the correlation of signal between
multiple antennas. The upper bounds are expressed in a simple matrix form u
sing signal and interference-plus-noise correlation matrices. Examples for
the case of 4-element adaptive arrays are given to illustrate the tightness
and the application of this upper hounds.