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E-raamat: Continuous Signals and Systems with MATLAB® 3rd edition [Taylor & Francis e-raamat]

(Benedict College, USA.)
  • Formaat: 346 pages, 5 Tables, black and white; 269 Illustrations, black and white
  • Sari: Electrical Engineering Textbook Series
  • Ilmumisaeg: 08-Oct-2020
  • Kirjastus: CRC Press
  • ISBN-13: 9781003088585
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  • Taylor & Francis e-raamat
  • Hind: 143,10 €*
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  • Tavahind: 204,43 €
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Continuous Signals and Systems with MATLAB® 3rd editionSuurem pilt
  • Formaat: 346 pages, 5 Tables, black and white; 269 Illustrations, black and white
  • Sari: Electrical Engineering Textbook Series
  • Ilmumisaeg: 08-Oct-2020
  • Kirjastus: CRC Press
  • ISBN-13: 9781003088585
Teised raamatud teemal:
Taylor & Francis e-raamatudRohkem infot Taylor & Francis e-raamatute kohta
Raamatu kodulehekülg: https://www.taylorfrancis.com/books/9781003088585

Continuous Signals and Systems with MATLAB® offers broad, detailed, and focused comprehensive coverage of continuous linear systems, based on basic mathematical principles. It presents many solved problems from various engineering disciplines using analytical tools as well as MATLAB. This book is intended primarily for undergraduate junior and senior electrical, mechanical, aeronautical, and aerospace engineering students. Practicing engineers will also find this book useful.

This book is ideal for use in a one-semester course in continuous linear systems where the instructor can easily cover all of the chapters. Each chapter presents numerous examples that illustrate each concept. Most of the worked-out examples are first solved analytically, and then solved using MATLAB in a clear and understandable fashion.

This book concentrates on explaining the subject matter with easy-to-follow mathematical development and numerous solved examples. The book covers traditional topics and includes an extensive coverage of state-space representation and analysis. The reader does not need to be fluent in MATLAB because the examples are presented in a self-explanatory way.

Preface xi
About the Author xiii
Acknowledgment xv
Chapter 1 Signal Representation
1(46)
1.1 Examples of Continuous Signals
1(1)
1.2 The Continuous Signal
1(1)
1.3 Periodic and Nonperiodic Signals
2(2)
1.4 General Form of Sinusoidal Signals
4(1)
1.5 Energy and Power Signals
5(2)
1.6 The Shifting Operation
7(1)
1.7 The Reflection Operation
8(2)
1.8 Even and Odd Functions
10(2)
1.9 Time Scaling
12(2)
1.10 The Unit Step Signal
14(2)
1.11 The Signum Signal
16(1)
1.12 The Ramp Signal
16(1)
1.13 The Sampling Signal
17(1)
1.14 The Impulse Signal
18(2)
1.15 Some Insights: Signals in the Real World
20(2)
1.15.1 The Step Signal
20(1)
1.15.2 The Impulse Signal
20(1)
1.15.3 The Sinusoidal Signal
21(1)
1.15.4 The Ramp Signal
22(1)
1.15.5 Other Signals
22(1)
1.16 End-of-Chapter Examples
22(16)
1.17 End-of-Chapter Problems
38(9)
Chapter 2 Continuous Systems
47(72)
2.1 Definition of a System
47(1)
2.2 Input and Output
47(1)
2.3 Linear Continuous System
47(3)
2.4 Time-Invariant System
50(2)
2.5 Systems Without Memory
52(1)
2.6 Causal Systems
52(2)
2.7 The Inverse of a System
54(1)
2.8 Stable Systems
55(1)
2.9 Convolution
56(2)
2.10 Simple Block Diagrams
58(3)
2.11 Graphical Convolution
61(5)
2.12 Differential Equations and Physical Systems
66(1)
2.13 Homogeneous Differential Equations and Their Solutions
66(2)
2.13.1 Case When the Roots Are All Distinct
67(1)
2.13.2 Case When Two Roots Are Real and Equal
67(1)
2.13.3 Case When Two Roots Are Complex
67(1)
2.14 Nonhomogeneous Differential Equations and Their Solutions
68(5)
2.14.1 How Do We Find the Particular Solution?
69(4)
2.15 The Stability of Linear Continuous Systems: The Characteristic Equation
73(3)
2.16 Block Diagram Representation of Linear Systems
76(2)
2.16.1 Integrator
76(1)
2.16.2 Adder
77(1)
2.16.3 Subtractor
77(1)
2.16.4 Multiplier
77(1)
2.17 From Block Diagrams to Differential Equations
78(1)
2.18 From Differential Equations to Block Diagrams
79(2)
2.19 The Impulse Response
81(2)
2.20 Some Insights: Calculating y(t)
83(2)
2.20.1 How Can We Find These Eigenvalues?
84(1)
2.20.2 Stability and Eigenvalues
84(1)
2.21 End-of-Chapter Examples
85(24)
2.22 End-of-Chapter Problems
109(10)
Chapter 3 Fourier Series
119(34)
3.1 Review of Complex Numbers
119(3)
3.1.1 Definition
119(1)
3.1.2 Addition
119(1)
3.1.3 Subtraction
119(1)
3.1.4 Multiplication
119(1)
3.1.5 Division
120(1)
3.1.6 From Rectangular to Polar
121(1)
3.1.7 From Polar to Rectangular
121(1)
3.2 Orthogonal Functions
122(2)
3.3 Periodic Signals
124(1)
3.4 Conditions for Writing a Signal as a Fourier Series Sum
124(1)
3.5 Basis Functions
124(2)
3.6 The Magnitude and the Phase Spectra
126(1)
3.7 Fourier Series and the Sin-Cos Notation
126(4)
3.8 Fourier Series Approximation and the Resulting Error
130(1)
3.9 The Theorem of Parseval
131(1)
3.10 Systems with Periodic Inputs
132(2)
3.11 A Formula for Finding y(t) When x(t) Is Periodic: The Steady-State Response
134(2)
3.12 Some Insight: Why the Fourier Series
136(1)
3.12.1 No Exact Sinusoidal Representation for x(t)
136(1)
3.12.2 The Frequency Components
136(1)
3.13 End-of-Chapter Examples
137(11)
3.14 End-of-Chapter Problems
148(5)
Chapter 4 The Fourier Transform and Linear Systems
153(38)
4.1 Definition
153(1)
4.2 Introduction
153(1)
4.3 The Fourier Transform Pairs
154(13)
4.4 Energy of Nonperiodic Signals
167(1)
4.5 The Energy Spectral Density of a Linear System
168(1)
4.6 Some Insights: Notes and a Useful Formula
168(2)
4.7 End-of-Chapter Examples
170(13)
4.8 End-of-Chapter Problems
183(8)
Chapter 5 The Laplace Transform and Linear Systems
191(54)
5.1 Definition
191(1)
5.2 The Bilateral Laplace Transform
191(1)
5.3 The Unilateral Laplace Transform
191(2)
5.4 The Inverse Laplace Transform
193(5)
5.5 Block Diagrams Using the Laplace Transform
198(2)
5.5.1 Parallel Systems
198(1)
5.5.2 Series Systems
199(1)
5.6 Representation of Transfer Functions as Block Diagrams
200(1)
5.7 Procedure for Drawing the Block Diagram from the Transfer Function
201(2)
5.8 Solving LTI Systems Using the Laplace Transform
203(2)
5.9 Solving Differential Equations Using the Laplace Transform
205(3)
5.10 The Final Value Theorem
208(1)
5.11 The Initial Value Theorem
208(1)
5.12 Some Insights: Poles and Zeros
208(1)
5.12.1 The Poles of the System
209(1)
5.12.2 The Zeros of the System
209(1)
5.12.3 The Stability of the System
209(1)
5.13 End-of-Chapter Examples
209(24)
5.14 End-of-Chapter Problems
233(12)
Chapter 6 State-Space and Linear Systems
245(92)
6.1 Introduction
245(1)
6.2 A Review of Matrix Algebra
246(25)
6.2.1 Definition, General Terms, and Notations
246(1)
6.2.2 The Identity Matrix
246(1)
6.2.3 Adding Two Matrices
246(1)
6.2.4 Subtracting Two Matrices
247(1)
6.2.5 Multiplying a Matrix by a Constant
247(1)
6.2.6 Determinant of a 2 × 2 Matrix
247(1)
6.2.7 Transpose of a Matrix
248(1)
6.2.8 Inverse of a Matrix
248(1)
6.2.9 Matrix Multiplication
248(1)
6.2.10 Diagonal Form of a Matrix
249(1)
6.2.11 Exponent of a Matrix
249(1)
6.2.12 A Special Matrix
250(1)
6.2.13 Observation
251(1)
6.2.14 Eigenvalues of a Matrix
251(1)
6.2.15 Eigenvectors of a Matrix
252(19)
6.3 General Representation of Systems in State Space
271(1)
6.4 General Solution of State-Space Equations Using the Laplace Transform
272(1)
6.5 General Solution of the State-Space Equations in Real Time
272(1)
6.6 Ways of Evaluating eAt
273(9)
6.6.1 First Method: A Is a Diagonal Matrix
273(1)
6.6.2 Second Method: A Is of the Form [ a0 ba]
273(1)
6.6.3 Third Method: Numerical Evaluation, A of Any Form
273(1)
6.6.4 Fourth Method: The Cayley--Hamilton Approach
274(2)
6.6.5 Fifth Method: The Inverse Laplace Method
276(1)
6.6.6 Sixth Method: Using the General Form of Φ(t) = eAt and Its Properties
277(5)
6.7 Some Insights: Poles and Stability
282(1)
6.8 End-of-Chapter Examples
283(43)
6.9 End-of-Chapter Problems
326(11)
Index 337
Dr. Taan S. ElAli, PhD, is a full professor of electrical engineering. He is currently the Coordinator of the Engineering Program in the College of Aeronautics at Embry Riddle Aeronautical University.
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