Study On Prony Algorithm And Pisarenko Algorithm Under Parameter Estimation For Multi-Sinusoidal Signal

The estimation of multi-sinusoidal signal parameter has applied in fields such as communication system,power system and speech signal processing system.White Gaussian noise is the most common noise.How to extract the signal parameters in the white Gaussian noise background has been a concern.This paper firstly introduces the basic theory of multi-sinusoidal signal parameter estimation.Then it analyzes the classical Prony and classical Pisarenko algorithm.Aiming at the problem that the two algorithms are susceptible to noise,the improved ones based on the traditional Prony and Pisarenko algorithm are proposed.Simulation results show the effectiveness of the proposed algorithms.The contents of this paper are as follows:1.An improved algorithm based on Prony is proposed.In the time domain the algorithm constructs a new sequence,and estabishes the relationship between the multi-sinusoidal signal.Based on the relationship,a new Prony polynomial is constructed.Finally,the frequency is calculated using the least squares method.The simulation results show that the improved algorithm is able to get better estimation result of parameter than the estimation result of the classical Prony algorithm in the case of the low signal to noise ratio(SNR).2.A new multi-sinusoids amplitude and phase estimation algorithm is obtained.According to the multi-sinusoidal signal equivalent relationship in the time domain,the method is effective to suppress the noise on the influence of amplitude and phase.The simulation results show that the proposed amplitude and phase estimation algorithm is better in the case of the high SNR.3.On the basis of Pisarenko algorithm,a new improved Pisarenko algorithm is proposed.This algorithm is combined with the multi-sinusoidal signal equivalent relationship in time domain.At the same time,it can reduce the influence of noise to the signal by using the autocorrelation function.The simulation results show that the improved Pisarenko algorithm has better result than the estimation result of the classical Pisarenko algorithm.At the same time,the amplitude and phase estimation algorithm based on autocorrelation function is given.The improved algorithm is ableto get better the estimation result of parameter.