Low complexity algorithms for implementing multisymbol differential de
tection (MSDD) over flat correlated Rayleigh fading channels are propo
sed, which are extensions of the low complexity MSDD over additive whi
te Gaussian noise channels also proposed by the authors. The complexit
ies of the proposed algorithms increase roughly linearly with block le
ngth N while optimum MSDD increases exponentially with N. Simulation r
esults show almost the same performances for practical N.