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Narrow-Band Systems and Gaussianity

Report Number: RADC TR 71-225
Author: Papoulis, A.
Corporate Author: Polytechnic Institute of Brooklyn
Laboratory: Rome Air Development Center
Date of Publication: 1971-11
Pages: 36
Contract: F30602-69-C-0331
AD Number: AD0733739

Abstract:
The approach to Gaussianity of the output y(t) of a narrowband system h(t) is investigated. It is assumed that the input x(t) is an a-dependent process in the sense that the random variables x(t) and x(t+u) are independent for u a. With F(y) and G(y) the distribution function of y(t) and of a suitable normal process, a realistic bound B of the difference F(y) - G(y) is determined and it is shown that B approaches 0 as the bandwidth omega sub 0 of the system tends to zero.

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