Filter bank interpolation and reconstruction from generalized and recurrent nonuniform samples

This paper introduces a filter bank interpretation of various sampling strategies, which leads to efficient interpolation and reconstruction methods. An identity, referred to as the Interpolation Identity, is used to obtain particularly efficient discrete-time (DT) systems for interpolation to uniform Nyquist samples, either for further processing in that form or for conversion to continuoustime (CT). The Interpolation Identity also leads to a new class of sampling theorems including an extension of Papoulis' generalized sampling expansion.