Yc. Jenq, PERFECT RECONSTRUCTION OF DIGITAL SPECTRUM FROM NONUNIFORMLY SAMPLED SIGNALS, IEEE transactions on instrumentation and measurement, 46(3), 1997, pp. 649-652
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.