Sampled data reconstruction of deterministic band-limited signals (Corresp.)

In obtaining a discrete set of data points to represent a signal, the problem of how to obtain sufficient information about the signal can become pronounced if the rate of obtaining samples of the signal is limited. The multiple-channel interpolation scheme presented in this correspondence uses periodic samples of the output of a set of prefilters excited by a deterministic input signal to reconstruct the original input signal. The input signals considered are band limited, and the sampling rate proposed is less than the Nyquist rate. This procedure may have applications in the analysis of transient signals.