Continuous signals and systems with MATLAB. (2020)
- Record Type:
- Book
- Title:
- Continuous signals and systems with MATLAB. (2020)
- Main Title:
- Continuous signals and systems with MATLAB
- Further Information:
- Note: Taan S. ElAli.
- Authors:
- ElAli, Taan S, 1963-
- Contents:
- Chapter 1 Signal Representation; 1.1 Examples of Continuous Signals; 1.2 The Continuous Signal; 1.3 Periodic and Nonperiodic Signals; 1.4 General Form of Sinusoidal Signals; 1.5 Energy and Power Signals; 1.6 The Shifting Operation; 1.7 The Reflection Operation; 1.8 Even and Odd Functions; 1.9 Time Scaling; 1.10 The Unit Step Signal; 1.11 The Signum Signal; 1.12 The Ramp Signal; 1.13 The Sampling Signal; 1.14 The Impulse Signal; 1.15 Some Insights: Signals in the Real World; 1.16 End-of-Chapter Examples; 1.17 End-of-Chapter Problems; References ; Chapter 2 Continuous Systems; 2.1 Definition of a System; 2.2 Input and Output; 2.3 Linear Continuous System; 2.4 Time-Invariant System; 2.5 Systems without Memory; 2.6 Causal Systems; 2.7 The Inverse of a System; 2.8 Stable Systems; 2.9 Convolution; 2.10 Simple Block Diagrams; 2.11 Graphical Convolution; 2.12 Differential Equations and Physical Systems; 2.13 Homogeneous Differential Equations and Their Solutions; 2.14 Nonhomogeneous Differential Equations and Their Solutions; 2.15 The Stability of Linear Continuous Systems: The Characteristic Equation; 2.16 Block Diagram Representation of Linear Systems; 2.17 From Block Diagrams to Differential Equations; 2.18 From Differential Equations to Block Diagrams; 2.19 The Impulse Response; 2.20 Some Insights: Calculating y(t); 2.21 End-of-Chapter Examples; 2.22 End-of-Chapter Problems; References ; Chapter 3 Fourier Series; 3.1 Review of Complex Numbers; 3.2 Orthogonal Functions; 3.3Chapter 1 Signal Representation; 1.1 Examples of Continuous Signals; 1.2 The Continuous Signal; 1.3 Periodic and Nonperiodic Signals; 1.4 General Form of Sinusoidal Signals; 1.5 Energy and Power Signals; 1.6 The Shifting Operation; 1.7 The Reflection Operation; 1.8 Even and Odd Functions; 1.9 Time Scaling; 1.10 The Unit Step Signal; 1.11 The Signum Signal; 1.12 The Ramp Signal; 1.13 The Sampling Signal; 1.14 The Impulse Signal; 1.15 Some Insights: Signals in the Real World; 1.16 End-of-Chapter Examples; 1.17 End-of-Chapter Problems; References ; Chapter 2 Continuous Systems; 2.1 Definition of a System; 2.2 Input and Output; 2.3 Linear Continuous System; 2.4 Time-Invariant System; 2.5 Systems without Memory; 2.6 Causal Systems; 2.7 The Inverse of a System; 2.8 Stable Systems; 2.9 Convolution; 2.10 Simple Block Diagrams; 2.11 Graphical Convolution; 2.12 Differential Equations and Physical Systems; 2.13 Homogeneous Differential Equations and Their Solutions; 2.14 Nonhomogeneous Differential Equations and Their Solutions; 2.15 The Stability of Linear Continuous Systems: The Characteristic Equation; 2.16 Block Diagram Representation of Linear Systems; 2.17 From Block Diagrams to Differential Equations; 2.18 From Differential Equations to Block Diagrams; 2.19 The Impulse Response; 2.20 Some Insights: Calculating y(t); 2.21 End-of-Chapter Examples; 2.22 End-of-Chapter Problems; References ; Chapter 3 Fourier Series; 3.1 Review of Complex Numbers; 3.2 Orthogonal Functions; 3.3 Periodic Signals; 3.4 Conditions for Writing a Signal as a Fourier Series Sum; 3.5 Basis Functions; 3.6 The Magnitude and the Phase Spectra; 3.7 Fourier Series and the Sin-Cos Notation; 3.8 Fourier Series Approximation and the Resulting Error; 3.9 The Theorem of Parseval; 3.10 Systems with Periodic Inputs; 3.11 A Formula for Finding y(t) When x(t) Is Periodic: The Steady-State Response; 3.12 Some Insight: Why the Fourier Series?; 3.13 End-of-Chapter Examples; 3.14 End-of-Chapter Problems; References ; Chapter 4 The Fourier Transform and Linear Systems; 4.1 Definition; 4.2 Introduction; 4.3 The Fourier Transform Pairs; 4.4 Energy of Non-Periodic Signals; 4.5 The Energy Spectral Density of a Linear System; 4.6 Some Insights: Notes and a Useful Formula; 4.7 End-of-Chapter Examples; 4.8 End-of-Chapter Problems; References; Chapter 5 The Laplace Transform and Linear Systems; 5.1 Definition; 5.2 The Bilateral Laplace Transform; 5.3 The Unilateral Laplace Transform; 5.4 The Inverse Laplace Transform; 5.5 Block Diagrams Using the Laplace Transform; 5.6 Representation of Transfer Functions as Block Diagrams; 5.7 Procedure for Drawing the Block Diagram from the Transfer Function; 5.8 Solving LTI Systems Using the Laplace Transform; 5.9 Solving Differential Equations Using the Laplace Transform; 5.10 The Final Value Theorem; 5.11 The Initial Value Theorem; 5.12 Some Insights: Poles and Zeros; 5.13 End-of-Chapter Examples; 5.14 End-of-Chapter Problems; References ; Chapter 6 State-Space and Linear Systems; 6.1 Introduction; 6.2 A Review of Matrix Algebra; 6.3 General Representation of Systems in State-Space; 6.4 General Solution of State-Space Equations Using the Laplace Transform; 6.5 General Solution of the State-Space Equations in Real Time; 6.6 Ways of Evaluating eAt 6.7 Some Insights: Poles and Stability; 6.8 End-of-Chapter Examples; 6.9 End-of-Chapter Problems; References … (more)
- Edition:
- Third edition
- Publisher Details:
- Boca Raton : CRC Press
- Publication Date:
- 2020
- Extent:
- 1 online resource, illustrations (black and white)
- Subjects:
- 621.3822
Signal processing -- Mathematics
System analysis - Languages:
- English
- ISBNs:
- 9781000180015
9781000179972
9781000179996
9781003088585 - Related ISBNs:
- 9780367533595
- Notes:
- Note: Description based on CIP data; resource not viewed.
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- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.547858
- Ingest File:
- 03_163.xml