Peak power limited channels: Analysis of capacity achieving probability measures

none3noThis paper establishes sufficient conditions under which a memoryless channel with real, scalar and peak power limited input exhibits a capacity achieving input probability measure that is discrete with a finite number of probability mass points. A proof for the sufficiency of the proposed conditions is presented. Some examples are also illustrated as further evidence for the presented theory.noneVincenzo Zambianchi;Enrico Paolini;Davide DardariVincenzo Zambianchi;Enrico Paolini;Davide Dardar