Spectrum resources are facing huge demands and cognitive radio (CR) can
improve the spectrum utilization. Recently, power spectral density (PSD) map is
defined to enable the CR to reuse the frequency resources regarding to the
area. For this reason, the sensed PSDs are fused by a Fusion Center (FC) which
the sensed PSDs are collected by the distributed sensors in the area. But, for
a given zone, the sensed PSD by neighbor CR sensors may contain a shared common
component for a while. This component can be exploited in the theory of the
distributed source coding (DSC) to compress sensing data more. In this paper
based on the distributed compressive sensing (DCS) a method is proposed to
compress and reconstruct the PSDs of the sensors when the data transmission is
slightly imperfect. Simulation results show the advantages of using proposed
method in compressing, reducing overhead and also recovering PSDs. % Proposed
method can be used to develop a framework when the holding times of the users
are large in comparison with the rate of the spectrum sensing.
