Modified compressive sensing based receiver for impulse radio communications in UWB channels

For impulse radio communications, the coherent Rake receiver requires accurate time acquisition and channel estimation whereas the autocorrelation receiver (AcR) requires a wideband analog delay element which has high complexity. In this paper, we propose a modified compressive sensing (CS) based receiver to avoid the stringent time acquisition, channel estimation and complicated wideband analog delay element. Different from the conventional CS algorithms, the proposed receiver modifies the randomly generated base functions according to channel statistics and simplifies the ℓ₁ norm minimization as to form the detection template by combining several base functions which have larger correlation coefficients with the received signal. Furthermore, the received signal is demodulated by a symbol rate sampling at the proposed receiver. Computer simulation results show that the proposed receiver outperforms the Rake receiver with 8 fingers and AcR.