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In several applications, such as wideband spectrum sensing for cognitive radio, only the power spectrum (a.k.a. the power spectral density) is of interest and there is no need to recover the original signal itself. In addition, high-rate Analog-to-Digital Converters (ADCs) are too power hungry for direct wideband spectrum sensing. These two facts have motivated them to investigate compressive wideband power spectrum sensing, which consists of a compressive sampling procedure and a reconstruction method that is able to recover the unknown power spectrum of a wide-sense stationary signal from the obtained sub-Nyquist rate samples. It is different from Spectrum Blind Sampling (SBS), which aims at reconstructing the original signal instead of the power spectrum.
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