Phase spectrum estimation of the seismic wavelet is an important issue in high-resolution seismic data processing and interpretation.On the basis of two patterns of constant-phase rotation and root transform for wavelet phase spectrum variation,we introduce six sparse criteria,including Lus improved kurtosis criterion,the parsimony criterion,exponential transform criterion,Sech criterion,Cauchy criterion,and the modified Cauchy criterion,to phase spectrum estimation of the seismic wavclet,obtaining an equivalent effect to the kurtosis criterion.Through numerical experiments,we find that when the reflectivity is not a sparse sequence,the estimated phase spectrum of the seismic wavelet based on the criterion function will deviate from the true value.In order to eliminate the influence of non-sparse reflectivity series in a single trace,we apply the method to the multi-trace seismogram,improving the accuracy of seismic wavelet phase spectrum estimation.