Accurate Spectral Estimation from Unequally Spaced Samples of Exponentially Damped Sinusoidal Signals

Tapan K. Sarkar; Huanqun Chen; Sohail A. Dianat

doi:10.1109/TIM.1987.6312626

Accurate Spectral Estimation from Unequally Spaced Samples of Exponentially Damped Sinusoidal Signals

Tapan K. Sarkar, Huanqun Chen, Sohail A. Dianat

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper a method is presented to interpolate and extrapolate unequally spaced signals that are not bandlimited. This is achieved by utilizing the Gregory-Newton quadrature formula which circumvents aliasing without bandlimiting. Also with the Gregory-Newton quadrature formula, it is possible to compute the Fourier spectrum of the unequally spaced signals, which is not bandlimited. Finally, the effect of noise on the Gregory-Newton quadrature formula is observed. Specifically, the quality of interpolation, extrapolation, and the spectrum as a function of various signal-to-noise ratios is observed. This may be a useful technique for computing unaliased spectra of unequally spaced damped sinusoidal signals having a signal-to-noise ratio greater than 20 dB.

Original language	English (US)
Pages (from-to)	32-36
Number of pages	5
Journal	IEEE Transactions on Instrumentation and Measurement
Volume	IM-36
Issue number	1
DOIs	https://doi.org/10.1109/TIM.1987.6312626
State	Published - Mar 1987

ASJC Scopus subject areas

Instrumentation
Electrical and Electronic Engineering

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abstract = "In this paper a method is presented to interpolate and extrapolate unequally spaced signals that are not bandlimited. This is achieved by utilizing the Gregory-Newton quadrature formula which circumvents aliasing without bandlimiting. Also with the Gregory-Newton quadrature formula, it is possible to compute the Fourier spectrum of the unequally spaced signals, which is not bandlimited. Finally, the effect of noise on the Gregory-Newton quadrature formula is observed. Specifically, the quality of interpolation, extrapolation, and the spectrum as a function of various signal-to-noise ratios is observed. This may be a useful technique for computing unaliased spectra of unequally spaced damped sinusoidal signals having a signal-to-noise ratio greater than 20 dB.",

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AB - In this paper a method is presented to interpolate and extrapolate unequally spaced signals that are not bandlimited. This is achieved by utilizing the Gregory-Newton quadrature formula which circumvents aliasing without bandlimiting. Also with the Gregory-Newton quadrature formula, it is possible to compute the Fourier spectrum of the unequally spaced signals, which is not bandlimited. Finally, the effect of noise on the Gregory-Newton quadrature formula is observed. Specifically, the quality of interpolation, extrapolation, and the spectrum as a function of various signal-to-noise ratios is observed. This may be a useful technique for computing unaliased spectra of unequally spaced damped sinusoidal signals having a signal-to-noise ratio greater than 20 dB.

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Accurate Spectral Estimation from Unequally Spaced Samples of Exponentially Damped Sinusoidal Signals

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