On the use of a compressive receiver for signal detection

The performance of a compressive receiver is compared to that of a wideband radiometer in order to determine if there is any significant loss in detection performance that accompanies the added feature of frequency estimation in the compressive receiver. The waveforms to be detected are either sine waves or phase-shift keyed signals, where the latter waveforms can represent either narrow-band binary phase-shift keyed (PSK) signals or direct sequence spread spectrum waveforms. It is shown that the compressive receiver outperforms the radiometer in detecting the presence of a sine wave. The compressive receiver is also shown to exhibit superior performance when the input contains a binary PSK signal and the system is operating under the conditions of low input signal-to-noise power ratio and low probability of false alarm