Reconstruction of Periodically Nonuniformly Sampled Bandlimited Signals Using Time-varying Fir Filters

This paper deals with reconstruction of nonuniformly sampled bandlimited continuous-time signals using time-varying discrete-time FIR filters. The point of departure is a representation of the reconstructed sequence that utilizes a time-frequency function. This representation enables a proper utilization of the slight oversampling that is assumed and reduces the reconstruction problem to a design problem that resembles an ordinary filter design problem. Of particular interest in this paper is an important special case of nonuniform sampling that corresponds to a certain type of periodic nonuniform sampling. It is shown how the reconstruction problem in this case can be posed as a multirate filter-bank design problem, thus with requirements on a distortion transfer function and a number of aliasing transfer functions.