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Frequency estimation variance with the Burg algorithm

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1 Author(s)
D. N. Swingler ; Div. of Eng., Saint Mary's Univ., Halifax, NS, Canada

The variance of the Burg frequency estimate is computed for the simplest case of a single noisy complex sinusoid through a Monte Carlo simulation over a useful range of data lengths, signal-to-noise ratios, and model orders. It is demonstrated that it is possible to provide a reasonable fit to this data by a relatively simple expression which provides considerable insight into the performance of the Burg algorithm, especially when used in conjunction with the expression for the Cramer-Rao lower bound, which is itself particularly simple in this case

Published in:

IEEE Transactions on Signal Processing  (Volume:39 ,  Issue: 4 )