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

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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)32-36
Number of pages5
JournalIEEE Transactions on Instrumentation and Measurement
VolumeIM-36
Issue number1
DOIs
StatePublished - Mar 1987

ASJC Scopus subject areas

  • Instrumentation
  • Electrical and Electronic Engineering

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