Transmission over Rician fading channels with unknown carrier phase is cons
idered. Differential encoding of APSK constellations at the transmitter and
non-coherent demodulation without channel state information/carrier phase
estimate at the receiver are applied. In this paper, various differential e
ncoding strategies suited for multiple symbol detection are presented and c
ompared. In particular, the encoding of the amplitude is considered. Moreov
er, a method for diversity enhancement is introduced. Regarding channel cap
acity as an appropriate performance measure when powerful channel coding is
applied we show that the proposed differential encoding strategies have ad
vantages over usual differential encoding for transmission over fading chan
nels. The results obtained by numerical simulations are in great accordance
with the prediction from information theory.