Research On Spectrum Estimation Of Short-Term Sequence Based On Burg Algorithm

With the development of information science and computer science,spectrum estimation of short-time series plays an important role in scientific research.Using the algorithm to analyze and estimate the signal frequency spectrum can study the parameters in the signal frequency domain and extract the characteristic frequency.The classical spectral estimation method has poor variance performance and low spectral resolution and estimation accuracy.Modern spectrum estimation has high resolution and strong spectrum identification ability,which is more suitable for spectrum analysis of short-time series.Therefore,it is widely used in military,engineering,communication,transportation and other fields.Firstly,this paper introduces the development history and research status of spectrum estimation,analyzes the mainstream algorithms of classical spectrum estimation,and leads to modern spectrum estimation ideas.On the basis of discussing AR parameter model method,Yule-Walker equation for signal spectrum analysis and Levinson-Durbin recurrence formula for solving the equation are analyzed,and Burg algorithm is discussed in detail as an effective method for solving model parameters.Secondly,according to the principle and steps of Burg algorithm,the simulation signal and experimental data are constructed for spectrum estimation.Compared with FFT algorithm in different sequence lengths,the defects are pointed out,and Burg algorithm is further proved to have strong identification ability and high resolution for short-time sequence signal spectrum estimation.Finally,the estimation anomaly and error of Burg algorithm are deduced,and it is pointed out that the error in solving the first-order coefficient leads to the deviation of the final result.Therefore,this paper starts from the second-order coefficient,and introduces the optimal weight function to optimize the Burg algorithm.The experimental data are used to compare the difference between the Burg algorithm before and after improvement.The results show that the improved Burg algorithm can eliminate errors,improve estimation accuracy and frequency resolution,thus proving that the optimized Burg algorithm has better short-term Sequence profile estimation performance.