Analysis and Applications To order this title, and for more information, click here
By W. K. Ling, King's College London
Description 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.
Features:
– Uses new methods based on symbolic dynamics, enabling the engineer more easily to operate reliable nonlinear digital filters – Gives
practical, ?real-world' applications of nonlinear digital filter – Includes many examples, together with Matlab source code available
on an accompanying website
Nonlinear Digital Filters: Analysis and Applications is ideal for professional engineers
working with signal processing applications, as well as advanced undergraduates and graduates conducting a nonlinear filter analysis
project.
Companion website at http://books.elsevier.com/9780123725363
Audience
Electrical and electronic engineers working in digital signal processing and communications engineers.
Final year undergraduate and graduate
level electrical and electronic engineering students studying a course in digital signal processing (a general course or a course on
nonlinear signal processing); academic researchers
Contents Contents
Chapter 1 Introduction
1.1 Why are digital filters associated with nonlinearities?
1.2 Challenges for the analysis and design
of digital filters associated with nonlinearities
1.3 An overview of the book
Chapter 2 Mathematical reviews
2.1 Mathematical preliminary
2.2 Backgrounds on signals and systems
2.3 Backgrounds on sampling theorem
2.4 Backgrounds on bifurcation theorem
2.5 Absolute
stability theorem
Chapter 3 Quantization in digital filters
3.1 Model of quantizer
3.2 Quantization noise analysis
3.3 Optimal code
design
3.4 Summary
3.5 Exercises
Chapter 4 Saturation in digital filters
4.1 System model
4.2 Oscillation of digital filters associated
with saturation nonlinearity
4.3 Stability of oscillations associated with saturation nonlinearity
4.4 Summary
4.5 Exercises
Chapter 5 Autonomous response of digital filters with two's complement arithmetic
5.1 System model
5.2 Linear and affine linear behaviors
5.3 Limit cycle behavior
5.4 Chaotic behavior
5.5 Summary
5.6 Exercises
Chapter 6 Step response of digital filters with
two's complement arithmetic
6.1 Affine linear behaviors
6.2 Limit cycle behavior
6.3 Fractal behavior
6.4 Summary
6.5 Exercises
Chapter 7 Sinusoidal response of digital filters with two's complement arithmetic
7.1 No overflow case
7.2 Overflow case
7.3 Summary
7.4 Exercises
Chapter 8 Two's complement arithmetic in complex digital filters
8.1 First order complex digital filters
8.2 Second
order complex digital filters
8.3 Summary
8.4 Exercises
Chapter 9 Quantization and two's complement arithmetic of digital filters
9.1 Nonlinear behavioral differences of finite and infinite state machines
9.2 Nonlinear behaviors of unstable second order digital filters
9.3 Nonlinear behaviors of digital filters with arbitrary orders and inital conditions
9.4 Summary
9.5 Exercises
Chapter
10 Properties and applications of digital filters with nonlinearities
10.1 Admissibility of symbolic sequences
10.2 Statistical
property
10.3 Computer cryptography via digital filters associated with nonlinearities
10.4 Summary
10.5 Exercises
Bibliography
Index
Books and book related electronic products are priced in US dollars (USD), euro (EUR), and Great Britain Pounds (GBP). USD prices apply to the Americas and Asia Pacific. EUR prices apply in Europe and the Middle East. GBP prices apply to the UK and all other countries.
Home | Elsevier Sites | Privacy Policy | Terms and Conditions | Feedback | Site Map | A Reed Elsevier Company