  Compressed sensing (CS) theory considers the restricted isometry property
(RIP) as a sufficient condition for measurement matrix which guarantees the
recovery of any sparse signal from its compressed measurements. The RIP
condition also preserves enough information for classification of sparse
symbols, even with fewer measurements. In this work, we utilize RIP bound as
the cost function for training a simple neural network in order to exploit the
near optimal measurements or equivalently near optimal features for
classification of a known set of sparse symbols. As an example, we consider
demodulation of pulse position modulation (PPM) signals. The results indicate
that the proposed method has much better performance than the random
measurements and requires less samples than the optimum matched filter
demodulator, at the expense of some performance loss. Further, the proposed
approach does not need equalizer for multipath channels in contrast to the
conventional receiver.
