Transforms and Calculations: Behind the Mathematics of Psychophysiology

Abstract

There are numerous scholarly documents with accurate and thorough explanations of the basis of the mathematical processes that have become essential to the field of psychophysiology. Review of many of these has revealed a pervasive emphasis on the technical and theoretical aspects of these formulae and theories with little or no emphasis on the primary and basic understanding of their development and application. This article specifically bridges the gap between the introduction of several cogent mathematical concepts and their ultimate applications within the field of applied psychophysiology, biofeedback, and neurofeedback. Special attention is given to the distinction between transforms and calculations and some of the statistical methods used to analyze them. Because the focus of this article is to enhance conceptual comprehension, integral, differential, and matrix mathematics are not referenced in any of the examples or explanations with the primary reliance on some algebra with verbal and pictorial...