PERFECT RECONSTRUCTION OF DIGITAL SPECTRUM FROM NONUNIFORMLY SAMPLED SIGNALS

In this paper, we consider the probIem of reconstructing the digital s pectrum from a set of nonuniformly spaced time samples of a signal, Sp ecifically, we deal with the situation where the timing offsets of eac h sampling instance are known and have a periodic structure, Examples include the random equivalent time sampling system of a digital scope, and an ultra high speed waveform digitizing system with interleaved A ID converters [1]-[3]. An algorithm which allows one to reconstruct th e digital spectrum perfectly is derived, and a numerical example is pr esented, The algorithm is noniterative and precise, and should prove t o be useful in many applications.