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Signals and Systems

ISBN-10: 0471988006

ISBN-13: 9780471988007

Edition: 2000

Authors: Bernd Girod

List price: $86.95
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Description:

Signals and Systems offers a comprehensive, modern approach, focusing on the aspects of signals and systems which are most relevant for modern applications, particularly in fields like communications.
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Book details

List price: $86.95
Copyright year: 2000
Publisher: John Wiley & Sons, Incorporated
Publication date: 6/8/2001
Binding: Paperback
Pages: 596
Size: 6.50" wide x 9.25" long x 1.00" tall
Weight: 2.2
Language: English

Preface
Introduction
Signals
Systems
Overview of the Book
Exercises
Time-Domain Models of Continuous LTI-Systems
Differential Equations
Block Diagrams
State-Space Description of LTI-Systems
Higher-order Differential Equations, Block Diagrams and the State Model
Equivalent State-Space Representations
Controllable and Observable Systems
Summary
Exercises
Modelling LTI-Systems in the Frequency-Domain
Complex Frequencies
Eigenfunctions
Exercises
Laplace Transform
The Eigenfunction Formulation
Definition of the Laplace Transform
Unilateral and Bilateral Laplace Transforms
Examples of Laplace Transforms
Region of Convergence of the Laplace Transform
Existence and Uniqueness of the Laplace Transform
Properties of the Laplace Transform
Exercises
Complex Analysis and the Inverse Laplace Transform
Path Integrals in the Complex Plane
The Main Principle of Complex Analysis
Circular Integrals that Enclose Singularities
Cauchy Integrals
Inverse Laplace Transform
Exercises
Analysis of Continuous-Time LTI-Systems with the Laplace Transform
System Response to Bilateral Input Signals
Finding the System Function
Poles and Zeros of the System Function
Determining the System Function from Differential Equations
Summarising Example
Combining Simple LTI-Systems
Combining LTI-Systems with Multiple Inputs and Outputs
Analysis of State-Space Descriptions
Exercises
Solving Initial Condition Problems with the Laplace Transform
First-Order Systems
Second-Order Systems
Higher-Order Systems
Assessment of the Procedures for Solving Initial Condition Problems
Exercises
Convolution and Impulse Response
Motivation
Time Behaviour of an RC-Circuit
The Delta Impulse
Convolution
Applications
Exercises
The Fourier Transform
Review of the Laplace Transform
Definition of the Fourier Transform
Similarities and Differences between Fourier and Laplace Transforms
Examples of the Fourier Transform
Symmetries of the Fourier Transform
Inverse Fourier Transform
Properties of the Fourier Transform
Parseval's Theorem
Correlation of Deterministic Signals
Time-Bandwidth Product
Exercises
Bode Plots
Introduction
Contribution of Individual Poles and Zeros
Bode Plots for Multiple Poles and Zeros
Rules for Bode Plots
Complex Pairs of Poles and Zeros
Exercises
Sampling and Periodic Signals
Introduction
Delta Impulse Train and Periodic Functions
Sampling
Exercises
The Spectrum of Discrete Signals
Discrete-Time Signals
Some Simple Sequences
Discrete-Time Fourier Transform
Sampling Continuous Signals
Properties of the F[subscript *] Transform
Exercises
The z-Transform
Definition and Examples
Region of Convergence of the z-Transform
Relationships to Other Transformations
Theorems of the z-Transform
Inverse z-Transform
Pole-Zero Diagrams in the z-Plane
Exercises
Discrete-Time LTI-Systems
Introduction
Linearity and Time-Invariance
Linear Difference Equations with Constant Coefficients
Characteristic Sequences and System Functions of Discrete LTI-Systems
Block Diagrams and State-Space
Discrete Convolution and Impulse Response
Exercises
Causality and the Hilbert Transform
Causal Systems
Causal Signals
Signals with a One-Sided Spectrum
Exercises
Stability and Feedback Systems
BIBO, Impulse Response and Frequency Response Curve
Causal Stable LTI-Systems
Feedback Systems
Exercises
Describing Random Signals
Introduction
Expected Values
Stationary Random Processes
Correlation Functions
Power Density Spectra
Describing Discrete Random Signals
Exercises
Random Signals and LTI-Systems
Combining Random Signals
Response of LTI-Systems to Random Signals
Signal Estimation Using the Wiener Filter
Exercises
Solutions to the Exercises
Tables of Transformations
Bilateral Laplace Transform Pairs
Properties of the Bilateral Laplace Transform
Fourier Transform Pairs
Properties of the Fourier Transform
Two-sided z-Transform Pairs
Properties of the z-Transform
Discrete-Time Fourier Transform Pairs
Properties of the Discrete-Time Fourier Transform
Bibliography
Index