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

- 102 Want to read
- 9 Currently reading

Published
**1999** by typescript in [s.l.] .

Written in English

**Edition Notes**

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

Statement | Christopher James Vowden. |

The Physical Object | |
---|---|

Pagination | 2 v. (vi, 379, [62]p.) |

Number of Pages | 379 |

ID Numbers | |

Open Library | OL19461202M |

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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.

This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function.

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.

Many of the motivating theorems and conjectures in the new subject of Arithmetic Dynamics may be viewed as the transposition of classical results in the theory of Diophantine equations to the setting of discrete dynamical systems, especially to the iterationCited by: Mathematical Modeling and Dynamical Systems CMSC/GEOS Autumn Quarter That information will be useful for those of you wanting to do a Dynamical behaviour of digital filters subject to 2s complement arithmetic nonlinearity book complete implementation of polynomial arithmetic Dynamical behaviour of digital filters subject to 2s complement arithmetic nonlinearity book Set 4).

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