Abstract: The random sequence has been widely used in signal processing.Usually,it is necessary to have a probability distribution function as priori for obtaining the distribution function of the random sequence,then the random sequence is generated.However,it is not easy to obtain the distribution function,which makes it difficult to generate random sequences.Because of this,a frequency based stochastic reconstruction method is proposed to generate random sequence by the probability density of K-distribution,and verified with the characteristic function of K-distribution and the standard deviation of K-distribution.Finally,the analysis of simulation results shows the correctness of the method.This method not only achieves conveniently,but also mitigates some limitations for the traditional methods under statistical comparison.