Utilisation of Q2PSK signals is analysed on the land mobile satellite channel. Trellis codes design criteria for coherent, differentially coherent and noncoherent detection procedures are derived. The implementation model of the transmitter-channel-receiver structure, where block interleaving/deinterleaving is utilised, is presented. New Q2PSK MTCM systems are designed following construction criteria for optimum performance on fading channels. Also, four different four-dimensional Q2PSK MTCM with different number of states and diversity factors are designed. Double 8-PSK MTCM are also combined with decoupled Q2PSK signals to construct bandwidth efficient TCs for optimum performance on the fading channel. Finally, the new Q2PSK MTCM and some of the Q2PSK TCs codes presented in Part 1 are evaluated on fading channels, where various levels of shadowing have been tested, from the Rayleigh channel to the AWGN channel.