
Accession Number : ADA299584
Title : HighSpeed Fixed and FloatingPoint Implementation of DeltaOperator Formulated DiscreteTime Systems.
Descriptive Note : Final technical rept. 1 Jan31 Dec 94,
Corporate Author : MIAMI UNIV CORAL GABLES FL
Personal Author(s) : Premaratne, Kamal
PDF Url : ADA299584
Report Date : 24 FEB 1995
Pagination or Media Count : 283
Abstract : This final report addresses research; results on three areas (a) Analysis and Design of Finite Wordlength Implementations of Linear, TimeInvariant DeltaSystems: With fixedpoint, deltaoperator based implementations are shown to always possess limit cycles regardless of quantization format. This problem is virtually nonexistent with floatingpoint if mantissa is sufficiently long. When this is the case, deltasystems offer superior performance (especially, for sampled continuoustime systems) with high sampling rate. (b) Analysis of Nonlinear Circuits Through DeltaOperator Based Schemes: Deltaoperator based numerical schemes for nonlinear system simulation were proposed. For certain classes of nonlinearities, sensitivity measures and quantization error bounds for state orbit were also developed. With floatingpoint, the proposed numerical schemes are shown to produce superior performance when using a small discretization step size. (c) 2D and mD DeltaModels: Deltamodels for 2D and mD discretetime systems were developed. Notions of gramians, balanced realizations, etc., were introduced, Coefficient sensitivity was also analyzed. Ml results obtained were compared with corresponding results for the shiftoperator case. Conditions where deltasystems are superior are also established.
Descriptors : *MATHEMATICAL MODELS, *COMPUTERIZED SIMULATION, *FLOATING POINT OPERATION, ALGORITHMS, SIGNAL PROCESSING, STABILITY, OPTIMIZATION, COMPUTATIONS, TWO DIMENSIONAL, MATRICES(MATHEMATICS), LINEAR PROGRAMMING, NONLINEAR SYSTEMS, ERROR ANALYSIS, POLYNOMIALS, SAMPLING, CONVERGENCE, DISCRETE DISTRIBUTION, SYSTEMS ANALYSIS, OPERATORS(MATHEMATICS), NUMERICAL METHODS AND PROCEDURES, CIRCUIT ANALYSIS, DIGITAL FILTERS, BINARY ARITHMETIC.
Subject Categories : Operations Research
Computer Programming and Software
Distribution Statement : APPROVED FOR PUBLIC RELEASE