Interpolation of bandlimited signals from uniform or non-uniform integral samples

A digital filter with finite impulse response is developed for interpolating a bandlimited signal at an arbitrary point from uniform or non-uniform integral samples. The convergence of approximation is established via a closed form upper bound on the error of interpolation. The accuracy of interpolation is further demonstrated with numerical experiments. The proposed method has potential applications in the design of interferometers and integrating sensors.