A Novel Entropy-based Equalization Performance Measure and Relations to L p -Norm Deconvolution

A crucial performance measure in the context of the problem of deconvolution is the level of residual intersymbol interference (ISI), a metric that is classically understood and formulated in terms of an L 2 -norm perspective. In order to enhance the scope of ISI quantification, we propose a novel entropy-based performance measure, which is called Entropy- based Intersymbol Interference (HISI). Interestingly, this metric is related to an information-theoretic relationship between source distribution and L p -norms when the error entropy is used as a basis for optimal filtering. The new metric is analytically investigated and illustrated with some simulations.