Signals and Systems Notes
520.214
0.2 Complex-Arithmetic
Background
0.3 Analysis
Background
1. Signals
1.1 Mathematical
Definitions of Signals
1.2 Elementary
Operations on Signals
1.3 Elementary
Operations on the Independent Variable
1.4 Energy
and Power Classifications
1.5 Symmetry-Based
Classifications of Signals
1.6 Additional
Classifications of Signals
1.7 Discrete-Time
Signals: Definitions, Classifications, and Operations
2. Continuous Time
Signals
2.1 The Class of CT Exponential Signals
2.2 The Class of CT Singularity Signals
2.3 Linear Combination of Singularity Signals and
Generalilzed Calculus
3. Discrete Time Signals
3.1 The Class of DT Exponential Signals
3.2 The Class of DT Singularity Signals
4. Systems
4.1 Introduction to Systems
4.2 System Properties
4.3 Interconnections of Systems - Block Diagrams
5. Discrete Time LTI
Systems
5.1 DT LTI Systems
and Convolution
5.2 Properties of
Convolution - Interconnections of DT LTI Systems
5.3 DT LTI System
Properties
5.4 Response to
Singularity Signals
5.5 Response to
Exponentials (Eigenfunction Properties)
5.6 DT LTI Systems
Described by Linear Difference Equations
6. Continuous Time LTI
Systems
6.1 CT LTI Systems
and Convolution
6.2 Properties of
Convolution - Interconnections of CT LTI Systems
6.3 CT LTI System
Properties
6.4 Response to
Singularity Signals
6.5 Response to
Exponentials (Eigenfunction Properties)
6.6 CT LTI Systems
Described by Linear Differential Equations
7. Introduction to
Signal Representation
7.1 Introduction to
CT Signal Representation
7.2 Orthogonality and
Minimum ISE Representation
7.3 Complex Basis
Signals
7.4 DT Signal
Representation
8. Periodic CT Signal
Representation (Fourier Series)
8.1 CT Fourier
Series
8.2 Real Forms,
Spectra, Convergence
8.3 Operations on
Signals
8.4 CT LTI Frequency
Response and Filtering
9. Periodic DT Signal
Representation (Fourier Series)
9.1 DT Fourier
Series
9.2 Real Forms,
Spectra, and Convergence
9.3 Operations on
Signals
9.4 DT LTI Frequency
Response and Filtering
10. Fourier Transform
Representation for CT Signals
10.1 Introduction to CT Fourier Transform
10.2 Fourier Transform for Periodic Signals
10.3 Properties of Fourier Transform
10.4 Convolution Property and LTI Frequency Response
10.5 Additional Fourier Transform Properties
10.6 Inverse Fourier Transform
10.7 Fourier Transform and LTI Systems Described by
Differential Equations
10.8 Fourier Transform and Interconnections of LTI
Systems
11. Unilateral Fourier
Transform
11.1 Introduction
11.2 Properties of the Unilateral Laplace Transform
11.3 Inverse Unilateral Laplace Transform
11.4 Systems Described by Differential Equations
11.5 Introduction to Laplace Transform Analysis of LTI
Systems
12. Application to
Circuits
12.1 Circuits with Zero Initial Conditions
12.2 Circuits with Nonzero Initial Conditions