The Spectral Envelope Estimate via Dirichlet Kernel Function

Abstract

In this article the spectral envelope function for a nonstationary time series is estimated by using the Dirichlet kernel function. we divide the time series into a number of segmentations, then the nonstationary problem is solved to reduce its effect. The simulation and the sequence of the nitrogenous bases of the DNA of Escherichia coli bacteria are used to implement the goal of this article.