Title
Close frequencies resolution by maximum entropy spectral estimators
Abstract
We study the properties of the maximum entropy spectral estimator in pure frequencies estimation. We modelize this situation by a sum of pure frequencies added to white noise. We study the effect of the signal to noise ratio and of the autoregressive filter order on the resolution power. Neglecting the uncertainties in the autoregressive filter coefficients estimations we show that the poles of the autoregressive filter transfer function can be classified in two families : one gives the pure frequencies and the other one the white noise. By a first order development we can specify the position of the pure frequencies associated poles. This allows us to give analytical results on the bias of the pure frequency estimation and on the resolution power. These theoretical results are confirmed and illustrated by computer simulations.
Year
DOI
Venue
1982
10.1109/ICASSP.1982.1171709
Acoustics, Speech, and Signal Processing, IEEE International Conference ICASSP '82.
Keywords
Field
DocType
signal to noise ratio,white noise,first order,computer simulation,transfer function,entropy,signal analysis,spectral estimation,maximum entropy,uncertainty
Signal processing,Mathematical analysis,White noise,Artificial intelligence,Autoregressive model,Pattern recognition,Signal-to-noise ratio,Transfer function,Principle of maximum entropy,Statistics,Mathematics,Filter design,Estimator
Conference
Volume
Issue
ISSN
7
5
0096-3518
Citations 
PageRank 
References 
7
2.80
0
Authors
4
Name
Order
Citations
PageRank
Jean-Louis Lacoume16212.13
Gharbi, M.272.80
Latombe, C.372.80
Nicolas, J.472.80