Block-Differential Modulation Over Doubly Selective Wireless Fading Channels

Block-Differential Modulation Over Doubly Selective Wireless Fading Channels Differential encoding is known to simplify receiver implementation because it bypasses channel estimation. However, over rapidly fading wireless channels, extra transceiver modules are necessary to enable differential transmission. Relying on a basis-expansion model for time- and frequency-selective (doubly selective) channels, we derive such a generalized block-differential (BD) codex and prove that it achieves maximum Doppler and multipath diversity gains, while affording low-complexity maximum-likelihood decoding. We further show that existing BD systems over frequency-selective or time-selective channels follow as special cases of our novel system. Simulations using the widely accepted Jakes model corroborate our theoretical analysis.