To fully exploit discontinuous spectra, this paper adopts MCPC (Multi-carrier Phased-coded) signal structure to design discontinuous spectra waveform. The signal adopts cycle complementary P4 coded, the echo expression of the random discontinuous spectra MCPC signal is deduced, and the signal performance in different SNR, Doppler is analyzed. Based on the fast Fourier transform, we propose the processing algorithm flow of discontinuous spectra MCPC signal. The algorithm does the velocity processing, unifies the velocity information under different carrier frequencies, and then by IFFT coherent synthesizes different frequencies range information. For the higher PSL problem generated by discontinuous spectra, we design objective function, use CVX toolbox to solve the least square filter coefficients, and then restrain sidelobes level that coherent processing generating. 