Signals and Systems with MATLAB Computing and Simulink Modeling, Fifth Edition  by Steven T. Karris  ISBN: 9781934404232  Circuit Analysis with Laplace Transforms. Discrete Fourier Transform (DFT). Analog and Digital Filters

by Steven T. Karris
2012
ISBN: 9781934404232
Containing information on window functions, cross correlation and autocorrelation functions, a discussion on nonlinear systems, as well as additional endofchapter exercises, this text introduces signal and system analysis, digital signal processing, and the design of analog and digital filters.
Signals and Systems with MATLAB Computing and Simulink Modeling, Fifth Edition
shipping_weight: 4.05 pounds
ASIN: 1934404233
Table of Contents
Signals and Systems with MATLAB Computing and Simulin Modeling, Fifth Edition
Preface
Chapter 1 – Elementary Signals
1.1: Signals Described in Math Form
1.2: The Unit Step Function u0(t)
1.3: The Unit Ramp Function u1(t)
1.4: The Delta Function d(t)
1.5: Higher Order Delta Functions
1.6: Summary
1.7: EndofChapter Exercises and Solutions
Chapter 2 – The Laplace Transformation
2.1: Definition of the Laplace Transformation
2.2: Properties and Theorems of the Laplace Transform
2.3: Laplace Transforms of Common Functions of Time
2.4: Laplace Transform of Common Waveforms
2.5: Using MATLAB for Finding the Laplace Transforms of Time Functions
2.6: Summary
2.7: EndofChapter Exercises and Solutions
Chapter 3 – The Inverse Laplace Transformation
3.1: The Inverse Laplace Transform Integral
3.2: Partial Fraction Expansion
3.3: Case where F(s) is Improper Rational Function
3.4: Alternate Method of Partial Fraction Expansion
3.5: Summary
3.6: EndofChapter Exercises and Solutions
Chapter 4 – Circuit Analysis with Laplace Transforms
4.1: Circuit Transformation from Time to Complex Frequency
4.2: Complex Impedance Z(s)
4.3: Complex Admittance Y(s)
4.4: Transfer Functions
4.5: Using the Simulink Transfer Fcn Block
4.6: Summary
4.7: EndofChapter Exercises and Solutions
Chapter 5 – State Variables and State Equations
5.1: Expressing Differential Equations in State Equation Form
5.2: Solution of Single State Equations
5.3: The State Transition Matrix
5.4: Computation of the State Transition Matrix eAt
5.5: Eigenvectors
5.6: Circuit Analysis with State Variables
5.7: Relationship between State Equations and Laplace Transform
5.8: Summary
5.9: EndofChapter Exercises and Solutions
Chapter 6 – The Impulse Response and Convolution
6.1: The Impulse Response in Time Domain
6.2: Even and Odd Functions of Time
6.3: Convolution
6.4: Graphical Evaluation of the Convolution Integral
6.5: Circuit Analysis with the Convolution Integral
6.6: Summary
6.7: EndofChapter Exercises and Solutions
Chapter 7 – Fourier Series
7.1: Wave Analysis
7.2: Evaluation of the Coefficients
7.3: Symmetry in Trigonometric Fourier Series
7.4: Trigonometric Form of Fourier Series for Common Waveforms
7.5: Gibbs Phenomenon
7.6: Alternate Forms of the Trigonometric Fourier Series
7.7: Circuit Analysis with Trigonometric Fourier Series
7.8: The Exponential Form of the Fourier Series
7.9: Symmetry in Exponential Fourier Series
7.10: Line Spectra
7.11: Computation of RMS Values from Fourier Series
7.12: Computation of Average Power from Fourier Series
7.13: Evaluation of Fourier Coefficients Using Excel®
7.14: Evaluation of Fourier Coefficients Using MATLAB®
7.15: Summary
7.16: Solutions to End?of?Chapter Exercises
Chapter 8 – The Fourier Transform
8.1: Definition and Special Forms
8.2: Special Forms of the Fourier Transform
8.3: Properties and Theorems of the Fourier Transform
8.4: Fourier Transform Pairs of Common Functions
8.5: Derivation of the Fourier Transform from the Laplace Transform
8.6: Fourier Transforms of Common Waveforms
8.7: Using MATLAB for Finding the Fourier Transform of Time Functions
8.8: The System Function and Applications to Circuit Analysis
8.9: Summary
8.10: EndofChapter Exercises and Solutions
Chapter 9 – DiscreteTime Systems and the Transform
9.1: Definition and Special Forms
9.2: Properties and Theorems of the Transform
9.3: The Transform of Common DiscreteTime Functions
9.4: Computation of the Transform with Contour Integration
9.5: Transformation Between s and z Domains
9.6: The Inverse Transform
9.7: The Transfer Function of DiscreteTime Systems
9.8: State Equations for DiscreteTime Systems
9.9: Summary
9.10: Solutions to EndofChapter Exercises
Chapter 10 – The DFT and the FFT Algorithm
10.1: The Discrete Fourier Transform (DFT)
10.2: Even and Odd Properties of the DFT
10.3: Common Properties and Theorems of the DFT
10.4: The Sampling Theorem
10.5: Number of Operations Required to Compute the DFT
The Fast Fourier Transform (FFT)
10.7: Summary
10.8: EndofChapter Exercises and Solutions
Chapter 11 – Analog and Digital Filters
11.1: Filter Types and Classifications
11.2: Basic Analog Filters
11.3: LowPass Analog Filter Prototypes
11.4: High–Pass, Band–Pass, and Band–Elimination Filter Design
11.5: Digital Filters
11.6: Digital Filter Design with Simulink
11.7: Summary
11.8: EndofChapter Exercises and Solutions
Appendix A – Introduction to MATLAB®
A.1: MATLAB® and Simulink®
A.2: Command Window
A.3: Roots of Polynomials
A.4: Polynomial Construction from Known Roots
A.5: Evaluation of a Polynomial at Specified Values
A.6: Rational Polynomials
A.7: Using MATLAB to Make Plots
A.8: Subplots
A.9: Multiplication, Division, and Exponentiation
A.10: Script and Function Files
A.11: Display Formats
Appendix B – Introduction to Simulink
B.1: Simulink and Its Relation to MATLAB
B.2: Simulink Demos
Appendix C – A Review of Complex Numbers
C.1: Definition of a Complex Number
C.2: Addition and Subtraction of Complex Numbers
C.3: Multiplication of Complex Numbers
C.4: Division of Complex Numbers
C.5: Exponential and Polar Forms of Complex Numbers
Appendix D – Matrices and Determinants
D.1: Matrix Definition
D.2: Matrix Operations
D.3: Special Forms of Matrices
D.4: Determinants
D.5: Minors and Cofactors
D.6: Cramer’s Rule
D.7: Gaussian Elimination Method
D.8: The Adjoint of a Matrix
D.9: Singular and NonSingular Matrices
D.10: The Inverse of a Matrix
D.11: Solution of Simultaneous Equations with Matrices
Appendix E – Window Functions
E.1: Window Function Defined
E.2: Common Window Functions
E.3: Other Window Functions
E.4: Fourier Series Method for Approximating an FIR Amplitude Response
Appendix F – Correlation Functions
F.1: Cross Correlation
F.2: Autocorrelation
Appendix G – Nonlinear Systems
References and Suggestions for Further Study
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