Probabilistic Interpretation from Behavior and Entropy of Nonlinear Cognitive Radio Networks with Quantum Mechanics Theory

Abstract

We introduce the Quantum Mechanics formalism given by the different operations at the Hilbert space yielding the probability amplitude from a primary source to an target receptor that is seen as the fusion center of all signals. More than an abstract application, we develop a closed-form theory that is applied to certain cases where standards theoretical approaches might fail to describe nonlinear phenomenology of wireless-based events. In concrete we calculate the probability amplitude and therefore it is interpreted as the chance for getting a pure signal from a primary source. Taking into account the completeness property of the orthogonal states, we proceed to implement the noises that would appear as a spontaneous mechanism more than an “adhoc” procedure. Finally, we pass to determinate numerically the signals along the bands that commonly take place the wireless connectivity.