Channel Capacity under General Nonuniform Sampling

Details Channel Capacity under General Nonuniform Sampling Channel Capacity under General Nonuniform Sampling

2012-02-04

arxiv.org/abs/1202.0871v1

Computer Science

Information Theory

5 pages

Scientific paper

This paper develops the fundamental capacity limits of a sampled analog channel under a sub-Nyquist sampling rate constraint. In particular, we derive the capacity of sampled analog channels over a general class of time-preserving sampling methods including irregular nonuniform sampling. Our results indicate that the optimal sampling structures extract out a spectral set that exhibits the highest SNR among all spectral sets of measure equal to the sampling rate. The sampled capacity can be attained through filter-bank sampling, or through a single branch of modulation and filtering followed by uniform sampling. These results indicate that the optimal sampling schemes suppress aliasing, and that employing irregular nonuniform sampling does not provide capacity gain over uniform sampling sets with appropriate preprocessing.

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