Open Access Open Access  Restricted Access Subscription or Fee Access

Evaluation of Maximum Entropy Method of Spectrum Estimation

P. SasiKiran, T. GowriManohar, S. KoteswaraRao, K. Bramaramba

Abstract


The parametric models AR/MA/ARMA are sometimes
not capable in finding out the power spectral densities of random
sequences. Under such circumstances the non-parametric methods
outperform the parametric ones because of the sensitivity of the latter
to model specifications. The Maximum Entropy Method (MEM) is
regarded as the Non-parametric method of spectral estimation, it
suggests one possible way of extrapolating the autocorrelation
sequence so that a more accurate estimate of the spectrum can be
obtained with better resolution. This paper investigates the work of
realizing MEM and evaluating it’s performance with Minimum
Variance (MV) method and classical methods.


Keywords


Minimum Variance Method, Maximum Entropy Method, Monte-Carlo Simulation, Non-parametric methods, Random process, Spectrum Estimation.

Full Text:

PDF

References


Monson H.Hayes, “Statiscal Digital Signal Processing and Modeling”,

John Wiley & Sons, INC.

Athanasios Papoulis, “Probability, Random variables, and Stochastic

Processes”, Third Edition

Edwin T.Jaynes, “On the Rationale of Maximum Entropy Method”,

Proceedings of the IEEE, vol.70, No.9, pp.939-952, September 1982.

Saeed V.Vaseghi, “Advanced Digital Signal Processing and Noise

Reduction”, Third Edition, John Wiley & Sons, INC

John G.Proakis, Dimitris G.Manolakis, “Digital Signal Processing

Principles, Algorithms and Applications”, PHI.

Stephen.J.Chapman, “MATLAB programming for Engineers”, Third

Edition.

M.O.Ahmed and L.Lampe,"Parametric and nonparametric methods for

powerline network topology inference",IEEE International symposium

power line communications and its application.pp.274-279,2012.

D.W.P.Thomas and M.S.Woolfson,"Evaluation of frequency tracking

methods",IEEE trans.power Del.,vol.16,no.3,pp.367-371,Jul.2001

F.J.Harris,"On the use of windows for harmonic analysis with the

discretefouriertransform",proc.IEEE,vol.PROC-66,no.3,pp.367-371,Jul.

C.Liguori,A.paolillo,and A.pignolti,"Estimation of signal parameters in

the frequency domain in the presence of harmonic

interference:Acomparativeanalysis",IEEETrans.Instrum.Meas.,vol.55.no

.2.pp.562-569, Apr.2006

Bozeng and Zhaosheng Teng,"Parameter estimation of power system

signals based on cosine self-convolution window with desirable

side-lobe behaviors",IEEE Trans. on power delivery,vol.26,no.1,January

S.M.Kay,Modern spectral estimation: Theory and application,Englewood

cliffs,NJ:prentice-Hall,1988.


Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.