Study an algorithm for compressive spectrum sensing in wireless sensor networks（ WSNs）

considering its unsatisfied accuracy and large calculation

design algorithm using sub-band basis as sparse basis for compressed sensing（ CS）

it is proved that the sub-band basis not only matches the orthogonality and completeness of basis; it shows that sub-bandbasis meet condition of restricted isometry property（ RIP）. The simulation results show that the reconstruction based on sub-band basis can detect the accurate location and amplitude of spectrum occupancy

and it is more robust than traditional edge detection algorithm

and it has higher compression ratio and less calculation

which is suitable for WSNs.