
Accession Number : AD0642712
Title : DIGITAL SIMULATION OF THE WIENER CANONICAL EXPANSION.
Descriptive Note : Technical rept.,
Corporate Author : INFORMATION RESEARCH ASSOCIATES INC LEXINGTON MASS
Personal Author(s) : Brick,Donald B. ; Kashian,Henry ; Petri,Larry W. ; Robinson,Mary E.
Report Date : JUL 1966
Pagination or Media Count : 55
Abstract : The numerical and programming aspects of a digital simulation of the HermiteLaguerre (WienerCanonical) expansion of the likelihood function for a stochastic process are described as a first step in a computer investigation and evaluation of the BrickZames method of synthesizing Bayes' Optimum Filters. Initial simulations are being conducted for the baseline cases of whitenormalnoise and signalpluswhitenormal noise inputs. Present trial inputs are generated by MonteCarlo methods. Numerical considerations governing the input process, the convergence of each Laguerre term, the processing time interval required for accurate approximation of the input process, convergence of the coefficients, and the Hermite polynomials are investigated. Where found necessary to investigate these, relevant computer diagnostic procedures are described. Initial results for the baseline processes, although preliminary, are discussed qualitatively. The next steps to be taken in the evaluation are also outlined. The computer programs, flow charts, and Fortran program listings are given in an Appendix. Various allowable forms of the HermiteLaguerre expansion, the convergence properties of each, the relevant amplitudescaling factors, and their relative advantages and disadvantages are considered in another Appendix. (Author)
Descriptors : (*COMPUTER PROGRAMMING, *INFORMATION THEORY), (*SIMULATION, INFORMATION THEORY), SERIES(MATHEMATICS), STATISTICAL FUNCTIONS, STOCHASTIC PROCESSES, NUMERICAL ANALYSIS
Subject Categories : Computer Programming and Software
Cybernetics
Distribution Statement : APPROVED FOR PUBLIC RELEASE