Filterbank reconstruction of bandlimited signals from nonuniform and generalized samples

This paper introduces a filterbank interpretation of various sampling strat egies, which leads to efficient interpolation and reconstruction methods. A n identity, which is referred to as the Interpolation Identity, is develope d and is used to obtain particularly efficient discrete-time systems for in terpolation of generalized samples as well as a class of nonuniform samples , to uniform Nyquist samples, either for further processing in that form or for conversion to continuous time. The Interpolation Identity also leads t o new sampling strategies including an extension of Papoulis' generalized s ampling expansion.