Signals and Systems / In Continuous Time

Analysis
 
 
de Gruyter (Verlag)
  • 1. Auflage
  • |
  • erschienen am 1. Januar 2017
  • |
  • XXII, 308 Seiten
 
E-Book | PDF mit Wasserzeichen-DRM | Systemvoraussetzungen
E-Book | PDF ohne DRM | Systemvoraussetzungen
978-3-11-041953-5 (ISBN)
 
The book begins by introducing signals and systems, and then discusses Time-Domain analysis and Frequency-Domain analysis for Continuous-Time systems. It also covers Z-transform, state-space analysis and system synthesis. The author provides abundant examples and exercises to facilitate learning, preparing students for subsequent courses on circuit analysis and communication theory.
  • Englisch
  • Berlin/Boston
  • |
  • USA
  • Für höhere Schule und Studium
  • |
  • US School Grade: From College Freshman to College Senior
  • 40
  • |
  • 140 s/w Abbildungen, 40 s/w Tabellen
  • |
  • 140 b/w ill., 40 b/w tbl.
  • 15,18 MB
978-3-11-041953-5 (9783110419535)
http://www.degruyter.com/isbn/9783110419535
weitere Ausgaben werden ermittelt
Weigang Zhang, Chang'an University, Xi'an, China
Table of content:Chapter 1 Signals 1.1 Definition of Signals 1.2 Classification of Signals 1.2.1 Periodic and Aperiodic Signals 1.2.2 Energy and Power Signals 1.2.3 Analog and Digital Signals 1.2.4 Certain and Random Signals 1.3 Basic Continuous-Time Signals 1.3.1 Direct Current Signals 1.3.2 Sinusoidal Signals 1.3.3 Exponential Signals 1.3.4 Complex Exponential Signals 1.3.5 Symbol Signal 1.3.6 Unit Ramp Signal 1.3.7 Unit Step Signal 1.3.8 Unit Impulse Signal 1.3.9 Unit Doublets Signal 1.4 Operation of Continuous-Time signals BR />1.4.1 Arithmetic Operation BR />1.4.2 Time Shifting Transform 1.4.3 Reversal Transform 1.4.4 Scaling Transform 1.4.5 Decomposition and Composition 1.4.6 Plotting of Signals 1.5 Learning Tip 1.6 Exercises Chapter 2 Systems 2.1 Definition of Systems 2.2 State and Response of Systems 2.3 Classification of Systems 2.3.1 Linear and Nonlinear Systems 2.3.2 Time Variant and Invariant Systems 2.3.3 Dynamic and Non-Dynamic Systems BR />2.3.4 Continuous- and Discrete-Systems 2.3.5 Causal and Non-Casual Systems 2.3.6 Open-loop and Closed-loop Systems BR />2.3.7 Stable and Unstable Systems 2.3.8 Lumped-Parameter and Distributed-Parameter Systems 2.4 System Model and Operation Block Diagram BR />2.4.1 System Model 2.4.2 Operation Block Diagram 2.5 Learning Tip 2.6 Exercises Chapter 3 Time-Domain Analysis for Continuous-Time System ;3.1 Analytical Method of Differential Equation 3.1.1 Classical Analytical Method 3.1.2 Response Decomposition Method3.2 Impulse Response and Step Response3.2.1 Impulse Response3.2.2 Step Response3.3 Operator Analysis3.2.1 Differential Operator and Transfer Operator3.3.2 Determine Impulse Response by Transfer Operator3.4 Convolution Method3.4.1 Definition of Convolution3.4.2 Properties of Convolution3.4.3 Determine Zero-State Response by Convolution3.5 Learning Tip3.6 ExercisesChapter 4 Real Frequency-Domain Analysis for Periodic Signals of Continuous-Time System4.1 Orthogonal Functions4.1.1 Orthogonal Function Set4.1.2 Triangle Function Set4.1.3 Imaginary Exponent Function Set4.2 Fourier Series4.2.1 Triangular Form of Fourier Series4.2.2 Function Symmetry and Fourier Coefficient4.2.3 Exponential Form of Fourier Series4.2.4 Properties of Fourier Series4.3 Frequency Spectrum of Signals4.3.1 Definition of Frequency Spectrum4.3.2 Characteristics of Frequency Spectrum4.4 Fourier Series Analysis Method for Systems4.4.1 System Function 4.4.2 Fourier Series Analysis Method4.5 Learning Tip4.6 ExercisesChapter 5 Real Frequency-Domain Analysis for Aperiodic Signals of Continuous-Time System5.1 Fourier Transform5.1.1 Definition of Fourier Transform5.1.2 Fourier Transform of Typical Aperiodic Signals5.2 Properties of Fourier Transform5.2.1 Linearity5.2.2 Time Shifting5.2.3 Frequency Shifting5.2.4 Scaling Transform5.2.5 Symmetry5.2.6 Properties of Convolution5.2.7 Differential in Time-Domain5.2.8 Integration in Time-Domain5.2.9 Modulation5.3 Fourier Transform of Periodic Signals5.4 Solution for Inverse Fourier Transform5.5 Fourier Transform Analysis for Aperiodic Signals 5.5.1 System Model Analysis5.5.2 System Function Analysis 5.5.3 Signal Decomposition Analysis5.6 Fourier Transform Analysis for Periodic Signals5.7 Undistorted Transmission Condition5.8 Hilbert Transform5.9 Disadvantages of Fourier Transform Analysis5.10 Learning Tip5.11 ExercisesChapter 6 ; Complex Frequency-Domain Analysis for Continuous-Time System6.1 Laplace Transform6.1.1 Definition of Laplace Transform6.1.2 Laplace Transform of Common Signals6.1.3 Laplace Transform of Periodic Signals6.2 Properties of Laplace Transform6.2.1 Linearity6.2.2 Time Shifting6.2.3 Complex Frequency Shifting6.2.4 Scaling Transform6.2.5 Differential in Time-Domain6.2.6 Integration in Time-Domain6.2.7 Convolution Theorem6.2.8 Initial-Value Theorem6.2.9 Final-Value Theorem6.2.10 Differential in Frequency-Domain6.2.11 Integration in Frequency-Domain6.3 Solution for Inverse Laplace transform6.4 System Function Analysis in Complex Frequency-Domain6.4.1 System Function6.4.2 Analysis Method of System Function6.5 Model Analysis in Complex Frequency-Domain6.5.1 System Model Analysis6.5.2 Circuit Model in Complex Frequency-Domain6.6 Analysis of Signal Decomposition in Complex Frequency-Domain6.7 Learning Tip6.8 ExercisesChapter 7 Emulation and Stability Analysis of Continuous-Time System7.1 System Analysis7.1.1 Basic Arithmetic Unit7.1.2 Emulation of System Block Diagram7.1.3 Emulation of System Flow Diagram7.2 Stability Analysis of Systems7.2.1 Stability of Systems7.2.2 Zeros and Poles Analysis of System Function H(s) 7.2.3 Determination of System Stability7.3 Learning Tip7.4 ExercisesChapter 8 Discrete Signals and Systems Analysis in Time-Domain8.1 Basic Discrete Signals8.1.1 Sinusoidal-Train8.1.2 Complex exponential-Train8.1.3 Exponential-Train8.1.4 Unit Step-Train8.1.5 Unit Impulse-Train8.1.6 Z-Train8.2 Sequence fundamental operation8.2.1 Four arithmetic operations8.2.2 Time shifting8.2.3 Reversal8.2.4 Cumulative-Sum8.2.5 Differential8.2.6 Overlapping8.2.7 Convolution-Sum8.3 Time-domain description for discrete system8.3.1 Differential equation description method8.3.2 Operator description method8.3.3 Convolution sum description method8.4 Time-domain analysis for discrete system8.4.1 Classical analysis method in time-domain8.4.2 Unit impulse response8.4.3 Analysis method of response decomposition8.5 Learning tip8.6 ExercisesChapter 9 Discrete signal and system analysis in z-domain 9.1 z-Transform9.1.1 Definition of z-Transform9.1.2 z-Transform of Typical Train9.1.3 Properties of z-transform9.1.4 Solution of inverse z- transform9.1.5 Relationship between z- and s-domain9.2 Discrete system analysis in z-domain9.2.1 Differential equation analysis method9.2.2 System function analysis method9.2.3 Sequence decomposition analysis method9.3 Emulation of discrete system9.4 Stability analysis of discrete system9.5 Frequency properties of discrete system9.6 Learning tip9.7 ExercisesChapter 10 State-space analysis of system10.1 State-space description of system10.2 State equation of system10.3 Establishment of state equation10.3.1 Circuit diagram establishment method10.3.2 Analog diagram establishment method10.3.3 Mathematical model (or system function) establishment method10.4 Solution of state equation10.4.1 Solution in frequency-domain10.4.2 Solution in time-domain10.4.3 Calculation of eAt10.5 Stability identification10.6 Learning tip10.7 ExercisesChapter 11: System synthesis summarize11.1 Definition of network and two-port network11.2 Equation and parameters of two-port network11.2.1 Z equation and parameters11.2.2 Y equation and parameters11.3 Condition to achieve passive system synthesis11.4 Passive One-port Network Synthesis for Continuous-Time System11.4.1 R-C synthesis11.4.2 R-L synthesis11.4.3 L-C synthesis11.5 Learning tip11.6 ExercisesAppendix A Solutions to The ExercisesAppendix B Tables of TransformationsBibliography

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