This paper proposes a Compressive Signal Processing Receiver based on Modulated Wideband Converter (MWC) sensing architecture and power spectrum estimation method in compressive domain for interference detection and filtering. The proposed receiver uses the signal processing method capable of reconstructing the unknown power spectrum of a signal from the MWC output samples in compressive domain. Interference detection achieved with respect to ITU or service provider defined PFD limits for operating frequency band on per Hz basis for a given receive system. Interference filtering by a novel method of compressive domain filtering which exploits the conjugate symmetry of DFT matrix for modifying the sensing matrix to achieve the sub-band filtering in compressive domain for interference removal is proposed. Proposed receiver is suitable for next generation of wideband satellite transponders. Matlab simulation to verify the proposed algorithm and results are presented. © 2014 IEEE.