The fundamental theorem of information theory from the sampling theorem point of view

摘要

The authors investigate the relationship between the nonuniform sampling theorem and the fundamental theorem of information theory. This analysis leads to an alternative method of error correction. They propose not to correct for the lost samples but rather to reconstruct the original signal from the rest of the samples using nonuniform sampling reconstruction techniques. This idea can be generalized to additive noise where the binary digits are in error but there is no erasure.