A Sequence-Based Compressed Sensing Receiver for Impulsive Frequency Shift Keying

Modern communications often operate in the wideband fading regime due to the increasingly crowded frequency spectrum. However, obtaining channel state information in this regime is challenging and costly. We consider the use of impulsive frequency shift keying, which is a noncoherent capacity-achieving scheme, in order to avoid the costs and challenge of obtaining channel state information in this regime. To avoid the cost of a bank of frequency-selective filters, which is the optimal noncoherent receiver, we investigate a more practical and less costly sequence-based compressed sensing receiver where the number of filters can be reduced with the tradeoff of increasing the symbol error rate. We demonstrate that the performance of a chipping sequence-based compressed sensing receiver approaches the performance of a bank of frequency-selective filters as the number of sequences used for recovery increases.