Reconstruction method for jitter tolerant data acquisition system

A waveform digitizing system tolerant to deterministic jitter can be obtained by isolating the deterministic part of the jitter and calibrating the system to eliminate its effects. Calibration of the system can be made from measured nonuniform sampling times. It will be shown that this information allows reconstructing the signal at uniformly spaced sampling times. To reconstruct a signal from its nonuniform samples, we use the Shannon expansion combined with a time stretching/compressing method. Moreover, the reconstruction of a signal from a finite number of samples introduces a truncation error. We propose, using a windowing technique, to reduce the truncation error, which improves considerably the resolution, or the number of effective bits of an analog to digital conversion system.

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