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 amped sinusoidal signals having a signal-to-noise ratio greater than 20 dB.
Department, Program, or Center
Chester F. Carlson Center for Imaging Science (COS)
IEEE Transactions on Instrumentation and Measurement 36N1 (1987) 32-36
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