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
ISBN: 9781934404232

Containing information on window functions, cross correlation and autocorrelation functions, a discussion on nonlinear systems, as well as additional end-of-chapter exercises, this text introduces signal and system analysis, digital signal processing, and the design of analog and digital filters.

[mp-amz keywords=”1934404233″]

Table of Contents
Signals and Systems with MATLAB Computing and Simulin Modeling, Fifth Edition
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: End-of-Chapter 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: End-of-Chapter 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: End-of-Chapter 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: End-of-Chapter 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: End-of-Chapter 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: End-of-Chapter 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: End-of-Chapter Exercises and Solutions

Chapter 9 – Discrete-Time Systems and the Transform
9.1: Definition and Special Forms
9.2: Properties and Theorems of the Transform
9.3: The Transform of Common Discrete-Time 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 Discrete-Time Systems
9.8: State Equations for Discrete-Time Systems
9.9: Summary
9.10: Solutions to End-of-Chapter 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: End-of-Chapter Exercises and Solutions

Chapter 11 – Analog and Digital Filters
11.1: Filter Types and Classifications
11.2: Basic Analog Filters
11.3: Low-Pass 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: End-of-Chapter 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 Non-Singular 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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