Noncentral Interpolation of Band-Limited Signals

A sampling expansion is found for finite power band-limited signals when there are N samples to the right and N + L + I samples to the left of the interpolated point, where N and L are free to be any nonnegative integers. It is shown that the truncation error approaches zero as L approaches infinity for any nonnegative N. This corresponds to using the past samples to force the truncation error to zero while having only a finite reconstruction delay. An expansion is also found for endpoint extrapolation. These new expansions are created by using a convergence factor specially suited for each case.