FREQUENCY ERRORS IN THE SPECTRAL ESTIMATES OF COMPLEX SINUSOIDS USING THE ″TAPERED″ BURG TECHNIQUE.

G. A. Lippert, M. Kaveh

Research output: Contribution to journalConference article

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Abstract

Frequency errors in spectral estimates of complex sinusoids in white noise by the ″tapered″ Burg technique are discussed. The tapered Burg technique is a direct result of considering a weighted least-squares fit to the parameters of the all-pole model, subject to Levinson's recursion constraint, in place of the usual unweighted least-squares fit. The algorithmic consequence of this approach is the inclusion of an appropriate taper in the calculation of the partial-correlation coefficients in the usual Burg algorithm. Based on the expression for the frequency error in the spectral estimate of a sinusoid, an optimum taper is then compared with those of the rectangular (untapered Burg) and Hamming tapers.

Original languageEnglish (US)
Pages (from-to)77-80
Number of pages4
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume1
StatePublished - Jan 1 1981
EventUnknown conference - Atlanta, Ga
Duration: Mar 30 1981Apr 1 1981

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title = "FREQUENCY ERRORS IN THE SPECTRAL ESTIMATES OF COMPLEX SINUSOIDS USING THE ″TAPERED″ BURG TECHNIQUE.",
abstract = "Frequency errors in spectral estimates of complex sinusoids in white noise by the ″tapered″ Burg technique are discussed. The tapered Burg technique is a direct result of considering a weighted least-squares fit to the parameters of the all-pole model, subject to Levinson's recursion constraint, in place of the usual unweighted least-squares fit. The algorithmic consequence of this approach is the inclusion of an appropriate taper in the calculation of the partial-correlation coefficients in the usual Burg algorithm. Based on the expression for the frequency error in the spectral estimate of a sinusoid, an optimum taper is then compared with those of the rectangular (untapered Burg) and Hamming tapers.",
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N2 - Frequency errors in spectral estimates of complex sinusoids in white noise by the ″tapered″ Burg technique are discussed. The tapered Burg technique is a direct result of considering a weighted least-squares fit to the parameters of the all-pole model, subject to Levinson's recursion constraint, in place of the usual unweighted least-squares fit. The algorithmic consequence of this approach is the inclusion of an appropriate taper in the calculation of the partial-correlation coefficients in the usual Burg algorithm. Based on the expression for the frequency error in the spectral estimate of a sinusoid, an optimum taper is then compared with those of the rectangular (untapered Burg) and Hamming tapers.

AB - Frequency errors in spectral estimates of complex sinusoids in white noise by the ″tapered″ Burg technique are discussed. The tapered Burg technique is a direct result of considering a weighted least-squares fit to the parameters of the all-pole model, subject to Levinson's recursion constraint, in place of the usual unweighted least-squares fit. The algorithmic consequence of this approach is the inclusion of an appropriate taper in the calculation of the partial-correlation coefficients in the usual Burg algorithm. Based on the expression for the frequency error in the spectral estimate of a sinusoid, an optimum taper is then compared with those of the rectangular (untapered Burg) and Hamming tapers.

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