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Multilevel coding and bit-interleaved coded modulation using differential encoding and non-coherent reception over flat fading channels are assessed. In order to achieve high bandwidth efficiencies differential encoding is done with respect to phase, as well as with respect to amplitude of APSK constellations. Assuming the channel to be slowly time-varying, encoding and detection are based on blocks of N consecutive symbols (multiple symbol detection). In this paper, we provide the code design and present simulation results. It is shown that only for multilevel coding multiple symbol detection provides significant gains.

The application of bit-interleaved coded modulation (BICM) in combination w i t h differential encoding and non-coherent reception over flat fading channels is assessed. Since the labeling plays a cent r a l role for BICM w e propose a suitable definition of G r a y labeling for differentially encoded transmission. We show that for multiple symbol detection such a G r a y labeling d o e s n o t exist. Finally, w e illustrate the consequences on the capacity by comparing BICM and an optimum coded modulation scheme.

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The capacity of at fading channels when applying di erentially encoding with non coherent reception and no channel state information available at the receiver is considered. Numerical results indicate the gains achievable by multiple symbol detection in the case of slowly time varying channels and provide a comparison among schemes with di erent potential bandwidth e ciencies.