The implementation of the compressive sensing was studied in this paper.Because of the transmission delay and the pass band ripple

the measurement matrix in a real compressive sensing receiver was different from that in theory.These differences caused the reconstruction error when digital modulated signals were compressively sensed.A self-loop measuring method of the circuit dictionary basis and an algorithm of time-delay compensation were proposed to solve this problem.The frequency range and the effectiveness of our compressive sensing receiver were verified through experiments.The SNR(Signal Noise Ratio) loss of the compressive sensing was also evaluated through the QPSK(Quadrature Phase Shift keying) demodulation test.