Performance Parameters for Quasi Canonical Class A Non-Gaussian Noise; Source Distribution Law mu = 0, Propagation Law gamma = 2

摘要

Non-Gaussian noise is very frequently the dominant background interference in a wide variety of communication situations, where in some general sense it is desired to transmit information from one point in space and time to another. Recently, Class A noise is distinguished by its coherent, transientless passage through the linear front end stages of typical receivers. Examples in applications arise in both active systems: (1) in sonar, in radar, in acoustical and electromagnetic (EM) telecommunications; (2) as a result of natural and man-made phenomena, e.g., lightning, ocean ambient noise, and biological mechanisms, automobile ignitions, electrical tools, and arctic ice noise. This report presents extensive numerical results for Class A noise; these consist of (1) probability densities; (2) cumulative probability distributions; (3) and in particular, various special statistics associated with Class A noise, which are needed in the evaluation of general receiver performance, i.e., for optimum weak-signal detection and estimation, and for threshold performance comparisons generally. A concise description of all these quantities is included in the text. In addition, various methods of carrying out the numerical evaluations are described in detail. Several alternative forms for the characteristic function of the normalized instantaneous amplitude have been derived, in terms of incomplete Gamma functions, and are suitable for large or small arguments.