Bandwidth from a large excursion of Gaussian noise

Some statistics properties of large excursions of Gaussian processes are presented, along with exact asymptotic formulas for calculating the root-mean-square (RMS) bandwidths of the underlying wideband or narrowband Gaussian processes in terms of the excursion level, height, and duration. The measured trajectory of a large excursion is used to illustrate the method. A somewhat similar phenomenon occurs for the envelope of a narrowband Gaussian process