ECE301 Summer II Schedule, based on Lathi Table of Contents

Lathi Table of Contents

Last modified: Mon Jun 26 21:47:11 EDT 2006



B. Background
B.1. Complex Numbers
B.2. Sinusoids
B.3. Sketching Signals
B.4. Cramer's Rule
B.5. Partial Fraction Expansion
B.6. Vectors and Matrices
B.7. Miscellaneous
1. Signals and Systems
1.1. Size of a Signal
1.2. Some Useful Signal Operations
1.3. Classification of Signals
1.4. Some Useful Signal Models
1.5. Even and Odd Functions
1.6. Systems
1.7. Classification of Systems
1.8. System Model: Input-Output Description
1.9. Internal and External Descriptions of a System
1.10. Internal Description: The State-Space Description
2. Time-Domain Analysis of Continuous-Time Systems
2.1. Introduction
2.2. System Response to Internal Conditions: The Zero-Input Response
2.3. The Unit Impulse Response h(t)
2.4. System Response to External Input: Zero-State Response
2.5. Classical Solution of Differential Equations
2.6. System Stability
2.7. Intuitive Insights into System Behavior
2.8. Appendix 2.1: Determining the Impulse Response
3. Time-Domain Analysis of Discrete-Time Systems
3.1. Introduction
3.2. Useful Signal Operations
3.3. Some Useful Discrete-Time Signal Models
3.4. Examples of Discrete-Time Systems
3.5. Discrete-Time System Equations
3.6. System Response to Internal Conditions: The Zero-Input Response
3.7. The Unit Impulse Response h[n]
3.8. System Response to External Input: The Zero-State Response
3.9. Classical Solution of Linear Difference Equations
3.10. System Stability: The External (BIBO) Stability Criterion
3.11. Intuitive Insights into System Behavior
3.12. Appendix 3.1: Impulse Response for a Special Case When aN = 0
4. Continuous-Time System Analysis Using the Laplace Transform
4.1. The Laplace Transform
4.2. Some Properties of the Laplace Transform
4.3. Solution of Differential and Integro-Differential Equations
4.4. Analysis of Electrical Networks: The Transformed Network
4.5. Block Diagrams
4.6. System Realization
4.7. Application to Feedback and Controls
4.8. Frequency-Response of an LTIC System
4.9. Bode Plots
4.10. Filter Design by Placement of Poles and Zeros of H(s)
4.11. The Bilateral Laplace Transform
5. Discrete-Time System Analysis Using the z -Transform
5.1. The z -Transform
5.2. Some Properties of the z -Transform
5.3. z -Transform Solution of Linear Difference equations
5.4. System Realization
5.5. Frequency Response of Discrete-Time Systems
5.6. Frequency Response from Pole-Zero Location
5.7. Digital Processing of Analog Signals
5.8. Connection Between the Laplace and the z -Transform
5.9. The Bilateral z -Transform
6. Continuous-Time Signal Analysis: The Fourier Series
6.1. Periodic Signal Representation by Trigonometric Fourier Series
6.2. Existence and Convergence of the Fourier Series
6.3. Exponential Fourier Series
6.4. LTIC System Response to Periodic Inputs
6.5. Generalized Fourier Series: Signals as Vectors
6.6. Numerical Computation of Dn
7. Continuous-Time Signal Analysis: The Fourier Transform
7.1. Aperiodic Signal Representation by Fourier Integral
7.2. Transforms of Some Useful Functions
7.3. Some Properties of the Fourier Transform
7.4. Signal Transmission Through LTIC Systems
7.5. Ideal and Practical Filters
7.6. Signal Energy
7.7. Application to Communications: Amplitude Modulation
7.8. Data Truncation: Window Functions
8. Sampling: The Bridge from Continuous to Discrete
8.1. The Sampling Theorem
8.2. Signal Reconstruction
8.3. Analog-to-Digital (A/D) Conversion
8.4. Dual of Time-Sampling: The Spectral Sampling
8.5. Numerical Computation of the Fourier Transform: The Discrete Fourier Transform (DFT)
8.6. The Fast Fourier Transform (FFT)
9. Fourier Analysis of Discrete-Time Signals
9.1. Discrete-Time Fourier Series (DTFS)
9.2. Aperiodic Signal Representation by Fourier Integral
9.3. Properties of DTFT
9.4. LTI Discrete-Time System Analysis by DTFT
9.5. DTFT Connection with the CTFT
9.6. Generalization of the DTFT and the z -Transform
10. State-Space Analysis
10.1. Introduction
10.2. A Systematic Procedure for Determining State Equations
10.3. Solution of State Equations
10.4. Linear Transformation of State Vectors
10.5. Controllability and Observability
10.6. State-Space Analysis of Discrete-Time Systems