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Tuesday, April 21, 2020 | History

2 edition of Dynamical behaviour of digital filters subject to 2"s complement arithmetic nonlinearity found in the catalog.

Dynamical behaviour of digital filters subject to 2"s complement arithmetic nonlinearity

Christopher James Vowden

Dynamical behaviour of digital filters subject to 2"s complement arithmetic nonlinearity

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Published by typescript in [s.l.] .
Written in English


Edition Notes

Thesis (Ph.D.) - University of Warwick, 1999.

StatementChristopher James Vowden.
The Physical Object
Pagination2 v. (vi, 379, [62]p.)
Number of Pages379
ID Numbers
Open LibraryOL19461202M

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Dynamical behaviour of digital filters subject to 2"s complement arithmetic nonlinearity by Christopher James Vowden Download PDF EPUB FB2

Are the state variables; uk is the input of the digital filter; and f is the nonlinearity due to the use of two’s complement arithmetic. When the eigenvalues of A are inside the unit circle, one may expect that the state trajectory of the autonomous system will converge to the origin of the phase : Bingo Ling, C Y-F Ho, P K-S Tam.

It is shown that when the second-order digital filter is implemented using a two's-complement arithmetic for the addition operation, it can exhibit chaotic behavior for certain regions in the.

"The Arithmetic of Dynamical Systems is intended for an audience of researchers and graduate students in number theory.

The book could easily be used for a special-topics graduate course. will serve not only as an excellent introduction to the Diophantine aspects of dynamics for the uninitiated, but also as a valuable reference for Cited by: An analysis of the dynamic behavior of a second-order digital filter operating outside the region of absolute stability in the case of saturation nonlinearity of the accumulator is presented.

This book provides an easy to understand overview of nonlinear behavior in digital filters, showing how it can be utilized or avoided when operating nonlinear digital filters. It gives techniques for analyzing discrete-time systems with discontinuous linearity, enabling the analysis of other nonlinear discrete-time systems, such as sigma delta modulators, digital phase lock loops and turbo coders.

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Dynamical behaviour of digital filters subject to 2s complement arithmetic nonlinearity book Contents Preface page xi Acknowledgements xxii 1 Finite Dimensional Maps 1 Introduction 1 Limit Sets 12 Stability 21 Bifurcation 33 Period-Doubling and Chaos 45 Invariant Manifolds 53 Attractors and Related Concepts 71 Global Properties 79 Area-Preserving and Symplectic Maps 89 References 98 2 Ordinary Differential Equations venerable areas of mathematics, Dynamical Systems and Number Theory.

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