Accession Number : ADA299584

Title :   High-Speed Fixed- and Floating-Point Implementation of Delta-Operator Formulated Discrete-Time Systems.

Descriptive Note : Final technical rept. 1 Jan-31 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, Time-Invariant Delta-Systems: With fixed-point, delta-operator based implementations are shown to always possess limit cycles regardless of quantization format. This problem is virtually non-existent with floating-point if mantissa is sufficiently long. When this is the case, delta-systems offer superior performance (especially, for sampled continuous-time systems) with high sampling rate. (b) Analysis of Nonlinear Circuits Through Delta-Operator Based Schemes: Delta-operator 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 floating-point, the proposed numerical schemes are shown to produce superior performance when using a small discretization step size. (c) 2-D and m-D Delta-Models: Delta-models for 2-D and m-D discrete-time 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 shift-operator case. Conditions where delta-systems 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