In order to implement the parameter estimation of mW (m-Walsh) composite-sequence spread spectrum signals,the corresponding cyclic spectrum is derived according to the theory of cyclic spectrum,and the feature of cyclic spectrum is analyzed on the basis of spectrum characteristics of Walsh sequence,with a parameter estimation algorithm on the basis of cyclic spectrum being also presented.Moreover,a compressive cyclic spectrum is intro- duced to meet the high-rate sampling for the calculation of cyclic spectrum.Thus,the cyclic spectrum can be reconstructed from compressive samples.Simulated results indicate that the introduction of compressive sampling helps effectively reconstruct the cyclic spectrum and estimate the sequence number of Walsh sequence,the chip rate of m sequence as well as the carrier frequency.