Application of fast algorithms to spectral analysis of speech signal

A fast algorithm for the solution of Hankel system of equation is developed based on \´Trench algorithm in reverse\´. The developed method is applied to spectral analysis of speech signal. In analyzing the speech signal, we implemented composite sinusoidal model (CSM) which requires to solve Hankel system of equations. The method developed in the paper reduces the number of computation to from with being the order of the system. In addition, utilization of \´divide and conquer\´ technique makes possible to achieve of computations.