Accurate spectral estimation from unequally spaced samples of exponentially damped sinusoidal signals

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. With the Gregory-Newton quadrature formula, it is possible to compute the Fourier spectrum of the unequally spaced signals, which is not… CONTINUE READING