STRUCTURAL INFORMATION-THEORY OF SOUND

The topic addressed is the structural information theory of sound. By relating acoustical wave phenomena to Dirac's representation of quantum mechanics, a new information analysis of sound is obtained using the principle of superposition. Unlike digital encoding which is not explainable by wave mechanics, the elementary sound quantum of information obeys Bose statistics. Sound, electromagnetism and hydrodynamics are directly compared and all are based on the geometry of energy forms, which provides the foundation for quantum physics. There are three major assumptions fundamental to the present theory: (1) a quantum mechanical approach is basic to the definition of elementary signals; (2) two uncertainty relations relating four parameters of any wave are required in order to define elementary signals; and (3) these underlying relations are based on the geometry of energy forms. The uniqueness of the present theory lies in the fact that two uncertainty relations - not one - are required, and that four - not two - wave parameters are required. The possibility of applying this analysis to wave encoding and decoding is discussed using a sampling technique based on interpolation theory.