In Continuous Time

Signals of Continuous-Time System 4.1 Orthogonal Functions 4.1.1 Orthogonal Function Set 4.1.2 Triangle Function Set 4.1.3 Imaginary Exponent Function Set 4.2 Fourier Series 4.2.1 Triangular Form of Fourier Series 4.2.2 Function Symmetry and Fourier Coefficient 4.2.3 Exponential Form of Fourier Series 4.2.4 Properties of Fourier Series 4.3 Frequency Spectrum of Signals 4.3.1 Definition of Frequency Spectrum 4.3.2 Characteristics of Frequency Spectrum 4.4 Fourier Series Analysis Method for Systems 4.4.1 System Function  4.4.2 Fourier Series Analysis Method 4.5 Learning Tip 4.6 Exercises Chapter 5 Real Frequency-Domain Analysis for Aperiodic Signals of Continuous-Time System 5.1 Fourier Transform 5.1.1 Definition of Fourier Transform 5.1.2 Fourier Transform of Typical Aperiodic Signals 5.2 Properties of Fourier Transform 5.2.1 Linearity 5.2.2 Time Shifting 5.2.3 Frequency Shifting 5.2.4 Scaling Transform 5.2.5 Symmetry 5.2.6 Properties of Convolution 5.2.7 Differential in Time-Domain 5.2.8 Integration in Time-Domain 5.2.9 Modulation 5.3 Fourier Transform of Periodic Signals 5.4 Solution for Inverse Fourier Transform 5.5 Fourier Transform Analysis for Aperiodic Signals 5.5.1 System Model Analysis 5.5.2 System Function Analysis 5.5.3 Signal Decomposition Analysis 5.6 Fourier Transform Analysis for Periodic Signals 5.7 Undistorted Transmission Condition 5.8 Hilbert Transform 5.9 Disadvantages of Fourier Transform Analysis 5.10 Learning Tip 5.11 Exercises Chapter 6 ; Complex Frequency-Domain Analysis for Continuous-Time System 6.1 Laplace Transform 6.1.1 Definition of Laplace Transform 6.1.2 Laplace Transform of Common Signals 6.1.3 Laplace Transform of Periodic Signals 6.2 Properties of Laplace Transform 6.2.1 Linearity 6.2.2 Time Shifting 6.2.3 Complex Frequency Shifting 6.2.4 Scaling Transform 6.2.5 Differential in Time-Domain 6.2.6 Integration in Time-Domain 6.2.7 Convolution Theorem 6.2.8 Initial-Value Theorem 6.2.9 Final-Value Theorem 6.2.10 Differential in Frequency-Domain 6.2.11 Integration in Frequency-Domain 6.3 Solution for Inverse Laplace transform 6.4 System Function Analysis in Complex Frequency-Domain 6.4.1 System Function 6.4.2 Analysis Method of System Function 6.5 Model Analysis in Complex Frequency-Domain 6.5.1 System Model Analysis 6.5.2 Circuit Model in Complex Frequency-Domain 6.6 Analysis of Signal Decomposition in Complex Frequency-Domain 6.7 Learning Tip 6.8 Exercises Chapter 7 Emulation and Stability Analysis of Continuous-Time System 7.1 System Analysis 7.1.1 Basic Arithmetic Unit 7.1.2 Emulation of System Block Diagram 7.1.3 Emulation of System Flow Diagram 7.2 Stability Analysis of Systems 7.2.1 Stability of Systems 7.2.2 Zeros and Poles Analysis of System Function H(s)  7.2.3 Determination of System Stability 7.3 Learning Tip 7.4 Exercises Chapter 8 Discrete Signals and Systems Analysis in Time-Domain 8.1 Basic Discrete Signals 8.1.1 Sinusoidal-Train 8.1.2 Complex exponential-Train 8.1.3 Exponential-Train 8.1.4 Unit Step-Train 8.1.5 Unit Impulse-Train 8.1.6 Z-Train 8.2 Sequence fundamental operation 8.2.1 Four arithmetic operations 8.2.2 Time shifting 8.2.3 Reversal 8.2.4 Cumulative-Sum 8.2.5 Differential 8.2.6 Overlapping 8.2.7 Convolution-Sum 8.3 Time-domain description for discrete system 8.3.1 Differential equation description method 8.3.2 Operator description method 8.3.3 Convolution sum description method 8.4 Time-domain analysis for discrete system 8.4.1 Classical analysis method in time-domain 8.4.2 Unit impulse response 8.4.3 Analysis method of response decomposition 8.5 Learning tip 8.6 Exercises Chapter 9 Discrete signal and system analysis in z-domain  9.1 z-Transform 9.1.1 Definition of z-Transform 9.1.2 z-Transform of Typical Train 9.1.3 Properties of z-transform 9.1.4 Solution of inverse z- transform 9.1.5 Relationship between z- and s-domain 9.2 Discrete system analysis in z-domain 9.2.1 Differential equation analysis method 9.2.2 System function analysis method 9.2.3 Sequence decomposition analysis method 9.3 Emulation of discrete system 9.4 Stability analysis of discrete system 9.5 Frequency properties of discrete system 9.6 Learning tip 9.7 Exercises Chapter 10 State-space analysis of system 10.1 State-space description of system 10.2 State equation of system 10.3 Establishment of state equation 10.3.1 Circuit diagram establishment method 10.3.2 Analog diagram establishment method 10.3.3 Mathematical model (or system function) establishment method 10.4 Solution of state equation 10.4.1 Solution in frequency-domain 10.4.2 Solution in time-domain 10.4.3 Calculation of eAt 10.5 Stability identification 10.6 Learning tip 10.7 Exercises Chapter 11¿ System synthesis summarize 11.1 Definition of network and two-port network 11.2 Equation and parameters of two-port network 11.2.1 Z equation and parameters 11.2.2 Y equation and parameters 11.3 Condition to achieve passive system synthesis 11.4 Passive One-port Network Synthesis for Continuous-Time System 11.4.1 R-C synthesis 11.4.2 R-L synthesis 11.4.3 L-C synthesis 11.5 Learning tip 11.6 Exercises Appendix  A  Solutions to The Exercises Appendix  B  Tables of Transformations Bibliography