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More About This Textbook
Overview
SIGNALS, SYSTEMS, AND TRANSFORMS
FOURTH EDITION
Charles L. Phillips  John M. Parr  Eve A. Riskin
A clear, comprehensive presentation of the theory and applications of signals, systems, and transforms. presents the mathematical backgroung of signals and systems, including the Fourier transform, the Fourier series, the Laplace transform, the discrtetime and discrete Fourier transforms, and the ztransforms. Organization permits great flexibility in course emphasis. MATLAB® examples are integrated throughout the book. The advanced features of the student version of MATLAB are integrated into the examples and problems.
The interactive Web site at
www.ee.washington.edu/class/SST_textbook/textbook.html has numerous animated demonstrations and interactive examples.
More than 350 homework problems and over 150 examples. Answers to selected problems enable students to gain instant feedback of their understanding of new concepts.
Significant Changes in the Fourth Edition
Editorial Reviews
Booknews
Begins with continuoustime topics and progresses to discretetime materials, yet is flexible for courses that treat them in parallel. Emphasizes the difference between models and the physical signals and systems they represent, introducing and covering several continuous and discretetime systems, the Fourier series, the Fourier transform for continuoustime signals and systems, the Laplace transform, and state variables for continuoustime systems. The software tool Matlab is integrated in examples and homework problems. Annotation c. Book News, Inc., Portland, OR (booknews.com)Product Details
Related Subjects
Table of Contents
Contents
Preface
1 Introduction
1.1 Modeling
1.2 ContinuousTime Physical Systems
Electric Circuits,
Operational Amplifier Circuits,
Simple Pendulum,
DC Power Supplies,
Analogous Systems,
1.3 Samplers and DiscreteTime Physical Systems
AnalogtoDigital Converter,
Numerical Integration,
Picture in a Picture,
Compact Disks,
Sampling in Telephone Systems,
DataAcquisition System,
1.4 Matlab and Simulink
2 ContinuousTime Signals and Systems
2.1 Transformations of ContinuousTime Signals
Time Transformations,
Amplitude Transformations,
2.2 Signal Characteristics
Even and Odd Signals,
Periodic Signals,
2.3 Common Signals in Engineering
2.4 Singularity Functions
Unit Step Function,
Unit Impulse Function,
2.5 Mathematical Functions for Signals
2.6 ContinuousTime Systems
Interconnecting Systems,
Feedback System,
2.7 Properties of ContinuousTime Systems
Stability
Linearity
Summary
Problems
3 ContinuousTime Linear TimeInvariant Systems
3.1 Impulse Representation of ContinuousTime Signals
3.2 Convolution for ContinuousTime LTI Systems
3.3 Properties of Convolution
3.4 Properties of ContinuousTime LTI Systems
Memoryless Systems,
Invertibility,
Causality,
Stability,
Unit Step Response,
3.5 DifferentialEquation Models
Solution of Differential Equations,
General Case,
Relation to Physical Systems,
3.6 Terms in the Natural Response
Stability,
3.7 System Response for ComplexExponential Inputs
Linearity,
Complex Inputs for LTI Systems,
Impulse Response,
3.8 Block Diagrams
Direct Form I,
Direct Form II,
nthOrder Realizations,
Practical Considerations,
Summary
Problems
4 Fourier Series
4.1 Approximating Periodic Functions
Periodic Functions,
Approximating Periodic Functions,
4.2 Fourier Series
Fourier Series,
Fourier Coefficients,
4.3 Fourier Series and Frequency Spectra
Frequency Spectra,
4.4 Properties of Fourier Series
4.5 System Analysis
4.6 Fourier Series Transformations
Amplitude Transformations,
Time Transformations,
Summary
Problems
5 The Fourier Transform
5.1 Definition of the Fourier Transform
5.2 Properties of the Fourier Transform
Linearity,
Time Scaling,
Time Shifting,
Time Transformation,
Duality,
Convolution,
Frequency Shifting,
Time Differentiation,
Time Integration,
Frequency Differentiation,
Summary,
5.3 Fourier Transforms of Time Functions
DC Level,
Unit Step Function,
Switched Cosine,
Pulsed Cosine,
Exponential Pulse,
Fourier Transforms of Periodic Functions,
Summary,
5.4 Sampling ContinuousTime Signals
Impulse Sampling,
Shannon’s Sampling Theorem,
Practical Sampling,
5.5 Application of the Fourier Transform
Frequency Response of Linear Systems,
Frequency Spectra of Signals,
Summary,
5.6 Energy and Power Density Spectra
Energy Density Spectrum,
Power Density Spectrum,
Power and Energy Transmission,
Summary,
Summary
Problems
6 Applications of the Fourier Transform
6.1 Ideal Filters
6.2 Real Filters
RC LowPass Filter,
Butterworth Filter,
Chebyschev and Elliptic Filters,
Bandpass Filters,
Summary,
6.3 Bandwidth Relationships
6.4 Reconstruction of signals from sample data
Interpolating Function,
Digitaltoanalog Conversion,
6.5 Sinusoidal Amplitude Modulation
FrequencyDivision Multiplexing,
6.6 PulseAmplitude Modulation
TimeDivision Multiplexing,
FlatTop PAM,
Summary
Problems
7 The Laplace Transform
7.1 Definitions of Laplace Transforms
7.2 Examples
7.3 Laplace Transforms of Functions
7.4 Laplace Transform Properties
Real Shifting,
Differentiation,
Integration,
7.5 Additional Properties
Multiplication by t,
Initial Value,
Final Value,
Time Transformation,
7.6 Response of LTI Systems
Initial Conditions,
Transfer Functions,
Convolution,
Transforms with Complex Poles,
Functions with Repeated Poles,
7.7 LTI Systems Characteristics
Causality,
Stability,
Invertibility,
Frequency Response,
7.8 Bilateral Laplace Transform
Region of Convergence,
Bilateral Transform from Unilateral Tables,
Inverse Bilateral Laplace Transform,
7.9 Relationship of the Laplace Transform to the Fourier Transform
Summary
Problems
8 State Variables for ContinuousTime Systems
8.1 StateVariable Modeling
8.2 Simulation Diagrams
8.3 Solution of State Equations
LaplaceTransform Solution,
Convolution Solution,
Infinite Series Solution,
8.4 Properties of the State Transition Matrix
8.5 Transfer Functions
Stability,
8.6 Similarity Transformations
Transformations,
Properties,
Summary
Problems
9 DiscreteTime Signals and Systems
9.1 DiscreteTime Signals and Systems
Unit Step and Unit Impulse Functions,
Equivalent Operations,
9.2 Transformations of DiscreteTime Signals
Time Transformations,
Amplitude Transformations,
9.3 Characteristics of DiscreteTime Signals
Even and Odd Signals,
Signals Periodic in n,
Signals Periodic in W
9.4 Common DiscreteTime Signals
9.5 DiscreteTime Systems
Interconnecting Systems,
9.6 Properties of DiscreteTime Systems
Systems with Memory,
Invertibility,
Inverse of a System,
Causality,
Stability,
Time Invariance,
Linearity,
Summary
Problems
10 DiscreteTime Linear TimeInvariant Systems
10.1 Impulse Representation of DiscreteTime Signals
10.2 Convolution for DiscreteTime Systems
Properties of Convolution,
10.3 Properties of DiscreteTime LTI Systems
Memory,
Invertibility,
Causality,
Stability,
Unit Step Response,
10.4 DifferenceEquation Models
DifferenceEquation Models,
Classical Method,
Solution by Iteration,
10.5 Terms in the Natural Response
Stability,
10.6 Block Diagrams
Two Standard Forms,
10.7 System Response for ComplexExponential Inputs
Linearity,
Complex Inputs for LTI Systems,
Stability,
Sampled Signals,
Impulse Response,
Summary
Problems
11 The zTransform
11.1 Definitions of zTransforms
11.2 Examples
Two zTransforms,
DigitalFilter Example,
11.3 zTransforms of Functions
Sinusoids,
11.4 zTransform Properties
Real Shifting,
Initial and Final Values,
11.5 Additional Properties
Time Scaling,
Convolution in Time,
11.6 LTI System Applications
Transfer Functions,
Inverse zTransform,
Complex Poles,
Causality,
Stability,
Invertibility,
11.7 Bilateral zTransform
Bilateral Transforms,
Regions of Convergence,
Inverse Bilateral Transforms,
Summary
Problems
12 Fourier Transforms of DiscreteTime Signals
12.1 DiscreteTime Fourier Transform
zTransform,
12.2 Properties of the DiscreteTime Fourier Transform
Periodicity,
Linearity,
Time Shift,
Frequency Shift,
Symmetry,
Time Reversal,
Convolution in Time,
Convolution in Frequency,
Multiplication by n,
Parseval’s Theorem,
12.3 DiscreteTime Fourier Transform of Periodic Sequences
12.4 Discrete Fourier Transform
Shorthand Notation for the DFT,
Frequency Resolution of the DFT,
Validity of the DFT,
Summary,
12.5 Fast Fourier Transform
DecompositioninTime Fast Fourier Transform Algorithm,
DecompositioninFrequency Fast Fourier Transform,
Summary,
12.6 Applications of the Discrete Fourier Transform
Calculation of Fourier Transforms,
Convolution,
Filtering,
Correlation,
Energy Spectral Density Estimation,
Summary,
12.7 The Discrete Cosine Transform,
Summary
Problems
13 State Variables for DiscreteTime Systems
13.1 StateVariable Modeling
13.2 Simulation Diagrams
13.3 Solution of State Equations
Recursive Solution,
zTransform Solution,
13.4 Properties of the State Transition Matrix
13.5 Transfer Functions
Stability,
13.6 Similarity Transformations
Properties,
Summary
Problems
Appendices
A. Integrals and Trigonometric Identities
Integrals,
Trigonometric Identities,
B. Leibnitz’s and L’Hôpital’s Rules
Leibnitz’s Rule,
L’Hôpital’s Rule,
C. Summation Formulas for Geometric Series
D. Complex Numbers and Euler’s Relation
ComplexNumber Arithmetic,
Euler’s Relation,
Conversion Between Forms,
E. Solution of Differential Equations
Complementary Function,
Particular Solution,
General Solution,
Repeated Roots,
F. PartialFraction Expansions
G. Review of Matrices
Algebra of Matrices,
Other Relationships
H. Answers to Selected Problems
I. Signals and Systems References
Index