Title :
Gaussian noise. 1. The shape of large excursions
Author :
Blachman, Nelson M.
Author_Institution :
GTE Gov. Syst. Corp., Mountain View, CA, USA
Abstract :
Work on the parabolic shape of the topmost part of high noise peaks is extended to show that these peaks are all approximately proportional to the autocorrelation function, R( tau ), of the noise. It is shown that the large excursions of the envelope of narrowband Gaussian noise also tend to have the shape of the envelope of its autocorrelation function.
Keywords :
correlation theory; information theory; random noise; autocorrelation function; envelope; large excursions; narrowband Gaussian noise; parabolic shape; Autocorrelation; Frequency domain analysis; Gaussian distribution; Gaussian noise; Lagrangian functions; Narrowband; Noise shaping; Phase noise; Reactive power; Shape; Tail;
Journal_Title :
Information Theory, IEEE Transactions on
