Title :
On the application of ehD2 to evaluate integrals
Author :
Gray, John E. ; Harter, Terry L.
Author_Institution :
Naval Surface Warfare Center, Dahlgren, VA, USA
Abstract :
We derive some results on determining the exponential of a derivative squared and apply it to several integrals including a communication theory integral. Using this technique, one can, in principle, compute the expected value of any function whose variables are Gaussian distributed. Some generalizations to defining functions defined as operators acting on other functions is also briefly considered
Keywords :
Gaussian distribution; exponential distribution; information theory; integral equations; Gaussian distributed variables; communication theory integral; exponential; integrals evaluation; squared derivative; Gaussian noise; Laplace equations; Mathematics; Polynomials; Probability density function; Probability distribution; Protection; Random variables; Taylor series; US Government;
Conference_Titel :
System Theory, 1997., Proceedings of the Twenty-Ninth Southeastern Symposium on
Conference_Location :
Cookeville, TN
Print_ISBN :
0-8186-7873-9
DOI :
10.1109/SSST.1997.581580
