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Perfect reconstruction of digital spectrum from nonuniformly sampled signals

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1 Author(s)
Jenq, Y.-C. ; Dept. of Electr. Eng., Portland State Univ., OR, USA

In this paper, we consider the problem of reconstructing the digital spectrum from a set of nonuniformly spaced time samples of a signal. Specifically, we deal with the situation where the timing offsets of each 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/D converters. An algorithm which allows one to reconstruct the digital spectrum perfectly is derived, and a numerical example is presented. The algorithm is noniterative and precise, and should prove to be useful in many applications

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Instrumentation and Measurement, IEEE Transactions on  (Volume:46 ,  Issue: 3 )