Accession Number : ADA141685

Title :   Extreme Value Estimates for Arbitrary Bandwidth Gaussian Processes Using the Analytic Envelope.

Descriptive Note : Departmental rept.,

Corporate Author : DAVID W TAYLOR NAVAL SHIP RESEARCH AND DEVELOPMENT CENTER BETHESDA MD CENTRAL INSTRUMENTATION DEPT

Personal Author(s) : Pierce,R D

PDF Url : ADA141685

Report Date : Mar 1984

Pagination or Media Count : 75

Abstract : A procedure is presented for the estimation of extreme values of stationary Gaussian random processes with arbitrary bandwidths. This approach is based on the analytic envelope defined by the Hilbert Transform; this envelope is Rayleigh distributed regardless of bandwidth. For experimentally derived data that has been converted into digital flow, the Hilbert Transform is approximated using algorithms implemented on a digital computer to produce samples of the envelope's time history. Next, the degree of correlation between these envelope samples is taken into account using a method developed from simulation studies of a series of synthetic Gaussian time histories with varying bandwidths. Once this correlation effect has been estimated, the standard methods of order statistics are applied to these samples using the Rayleigh probability density function. Examples of applying this procedure to experimentally derived data are presented. (Author)

Descriptors :   *Numerical methods and procedures, *Estimates, *Value, *Gaussian quadrature, *Ship motion, Order statistics, Stationary, Correlation, Algorithms, Digital computers, Charts, Amplitude, Water waves, Height, Bandwidth, Rayleigh waves, Envelope(Space)

Subject Categories : Statistics and Probability
      Marine Engineering

Distribution Statement : APPROVED FOR PUBLIC RELEASE