On sparse sensing of coded signals at Sub-Landau sampling rates

Sparse sampling is examined jointly with encoding the transmitted signal. It is shown that with coding the Landau condition may be relaxed and the sampling rate can be lower than the effective bandwidth. Equivalently, the number of measurements can be smaller than the support size. Tight bounds on information rates and on support detection performance are derived for the Gaussian sparsely sampled channel using the context of state dependent channels. Support detection results are verified by a simulation.