Noncoherent detection based on compressed sensing for ultra-wideband impulse radio

Noncoherent ultra-wideband (UWB) receivers are suboptimal but have advantage in low-complexity and low-power consumption. The theory of compressed sensing (CS) enables the reconstruction or approximation of sparse or compressible signals from a small set of incoherent projections. This paper presents a noncoherent detection approach based on CS for pulse ultra-wideband systems. The Matching Pursuit (MP) algorithm with implicit denoising operation is used as the signal reconstruction method of CS for pulse UWB. The dictionary of the MP algorithm is weighted with the prior knowledge of the average power delay profile (APDP) of the channel to achieve higher performance. Simulations show that the proposed noncoherent detection approach is resilient to additive noise and outperforms the conventional energy detection method.