### 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 language | English (US) |
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Pages (from-to) | 77-80 |

Number of pages | 4 |

Journal | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |

Volume | 1 |

State | Published - Jan 1 1981 |

Event | Unknown conference - Atlanta, Ga Duration: Mar 30 1981 → Apr 1 1981 |

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**FREQUENCY ERRORS IN THE SPECTRAL ESTIMATES OF COMPLEX SINUSOIDS USING THE ″TAPERED″ BURG TECHNIQUE.** / Lippert, G. A.; Kaveh, M.

Research output: Contribution to journal › Conference article

}

TY - JOUR

T1 - FREQUENCY ERRORS IN THE SPECTRAL ESTIMATES OF COMPLEX SINUSOIDS USING THE ″TAPERED″ BURG TECHNIQUE.

AU - Lippert, G. A.

AU - Kaveh, M.

PY - 1981/1/1

Y1 - 1981/1/1

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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M3 - Conference article

AN - SCOPUS:0019679796

VL - 1

SP - 77

EP - 80

JO - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

JF - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

SN - 0736-7791

ER -