Block differential encoding for rapidly fading channels

Rapidly fading channels provide Doppler-induced diversity, but are also challenging to estimate. To bypass channel estimation, we derive two novel block differential (BD) codecs. Relying on a basis expansion model for time-varying channels, our differential designs are easy to implement, and can achieve the maximum possible Doppler diversity. The first design (BD-I) relies on a time-frequency duality, based on which we convert a time-varying channel into multiple frequency-selective channels, and subsequently into multiple flat-fading channels using orthogonal frequency-division multiplexing. Combined with a group partitioning scheme, BD-I offers flexibility to trade off decoding complexity with performance. Our second block differential design (BD-II) improves the bandwidth efficiency of BD-I at the price of increased complexity at the receiver, which relies on decision-feedback decoding. Simulation results corroborate our theoretical analysis, and compare with competing alternatives.