  There is a growing interest in signaling schemes that operate in the wideband
regime due to the crowded frequency spectrum. However, a downside of the
wideband regime is that obtaining channel state information is costly, and the
capacity of previously used modulation schemes such as code division multiple
access and orthogonal frequency division multiplexing begins to diverge from
the capacity bound without channel state information. Impulsive frequency shift
keying and wideband time frequency coding have been shown to perform well in
the wideband regime without channel state information, thus avoiding the costs
and challenges associated with obtaining channel state information. However,
the maximum likelihood receiver is a bank of frequency-selective filters, which
is very costly to implement due to the large number of filters. In this work,
we aim to simplify the receiver by using an analog compressed sensing receiver
with chipping sequences as correlating signals to detect the sparse signals.
Our results show that using a compressed sensing receiver allows for the
simplification of the analog receiver with the trade off of a slight
degradation in recovery performance. For a fixed frequency separation, symbol
time, and peak SNR, the performance loss remains the same for a fixed ratio of
number of correlating signals to the number of frequencies.

Signal Processing