Spectral analysis of randomly sampled signals: suppression of aliasing and sampler jitter
IEEE Transactions on Signal Processing
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This paper presents a method of assessing the quality of signal reconstruction from a finite set of samples taken at arbitrarily distributed time instants. The proposed tool, a time-domain function called reliability of signal reconstruction, provides a quantitative measure of such quality. This approach does not require knowledge of signal samples. Only spectral support of the signal and the positions of the sampling instants are needed to calculate the reliability function. Therefore the method can be used to assess the quality of reconstruction even before any signal samples are acquired. The assessment can be performed for any time instant at which the signal is to be reconstructed. The proposed approach measures imperfections of signal reconstruction resulting from limited provision of signal samples, their distribution (such as gaps and clusters) and aliasing.