|
Date |
Lecture Number |
Lecture Outline |
|
Thurs, September 9th |
0 |
Introduction to EE3TP4 |
|
Friday, September 10th |
1 |
Signal and system definitions, signal energy and power, classifications of signals, some useful signal operations, examples. (Chapter 1) |
|
Tues, September 14th |
2 |
Some useful signals, classification of systems, examples. (Chapter 1) |
|
Thurs, September 16th |
3 |
Linear differential systems, zero state response and zero input response, eignevalues and eigenmodes of the system, obtaining zero input response, the impulse response of the system, Zero state response, examples (Chapter 2) |
|
Friday, September 17th |
4 |
The convolution integral and its properties, graphical understanding of convolution, the everlasting exponential, natural and forced responses, classical solutions of differential equations, examples. (Chapter 2) |
|
Tuesday, September 21st |
5 |
System stability, system time constant, implications of time constant, the resonance phenomenon, examples. (Chapter 2) |
|
Thursday, September 23th |
6 |
Discrete-time signals and systems, some useful discrete time signals, size of a discrete-time signal, examples. (Chapter 8) |
|
Friday, September 24th |
7 |
Useful signal operations, examples of discrete time systems, discrete-time system equations, iterative solution and initial conditions, examples. (Chapters 8 and 9) |
|
Tuesday, September 28th |
8 |
Operational notation, Zero-input response, the unit impulse response, the zero state response, convolution and its properties, graphical representation of convolution, examples. (Chapter 9) |
|
Thursday, September 30th |
9 |
The everlasting exponential, classical solution of linear difference equations, natural and forced responses, system stability, system response to bounded inputs, examples. (Chapter 9) |
|
Friday, October 1st |
10 |
Vector decomposition, signal decomposition, orthogonality in signals, energy of orthogonal signals, correlation, correlation functions, correlation and convolution, orthogonal signal space, examples. (Chapter 3) |
|
Tuesday, October 5th |
11 |
Trigonometric Fourier series, compact Fourier series, periodicity of Fourier series, Fourier Spectrum, existence of Fourier series, effect of symmetry, examples. (Chapter 3) |
|
Thursday, October 7th |
12 |
The Gibbs phenomenon, exponential Fourier series, negative frequency, Parseval’s Theorem, Numerical computation of Fourier series, LTIC response to periodic signals, limitations of Fourier series, examples. (Chapter 3) |
|
Friday, October 8th |
13 |
Aperiodic signal representation by a Fourier integral, Fourier transform, existence of the Fourier transform, LTIC response using the Fourier transform, examples. (Chapter 4) |
|
Tuesday, October 12th |
14 |
Transform of some useful functions, properties of the Fourier transform, examples. (Chapter 4) |
|
Thursday, October 14th |
15 |
Signal transmission through LTIC, ideal and practical filters, dual nature of signals, Parseval’s theorm for aperiodic signals, application to modulation, DSB-SC and AM examples. (Chapter 4) |
|
Friday, October 15th |
16 |
The sampling theorem, signal reconstruction, aliasing, antialiasing filter, practical sampling, applications of the sampling theorem, examples. (Chapter 5) |
|
Tuesday, October 19th |
17 |
Spectral sampling theorem, numerical computation of FT (DFT), zero padding, points of discontinuity, properties of DFT, examples, Fast Fourier Transform (FFT). (Chapter 5) |
|
Thursday, October 21st |
|
First Midterm, Review Lecture |
|
Friday October 22nd |
18 |
The Discrete-Time Fourier Series (DTFS), Fourier spectra, periodic extension of DTFS, Aperiodic signal representation by DTFT, Nature of Frequency spectra, Properties of the DTFT, examples. (Chapter 10) |
|
Tuesday October 26th |
19 |
Connection between DTFT and FT, LTID response using DTFT, computation of DTFS and DTFT using DFT, examples. (Chapter 10) |
|
Thursday October 28th |
20 |
Why use |
|
Friday October 29th |
21 |
Some properties of the |
|
Tuesday, Nov 2nd |
22 |
Solution of integral and differential equations (Cont’d), Analysis of electrical networks, examples. (Chapter 6) |
|
Thursday, Nov. 4th |
23 |
Block diagrams, system realizations, system realization using OpAmps, examples. (Chapter 6) |
|
Friday, Nov 5th |
24 |
Feedback systems, open loop gain, closed loop gain, analysis of a simple control system, analysis of a first and second order systems, examples. (Chapters 6 and 7) |
|
Tuesday Nov 9th |
25 |
Higher order systems, system stability, root locus, Bode diagrams, steady state error, examples. (Chapter 6 and 7). |
|
Thursday Nov. 11th |
26 |
Relative stability, Nyquist criterion, gain and phase margins, transient response in terms of frequency response, examples( Chapters 6 and 7) |
|
Friday, Nov. 12th |
27 |
Simple control systems, ideal differentiator, ideal integrator, lead and lag compensators, examples. (Chapters 6 and 7) |
|
Tuesday Nov. 16th |
28 |
Definition of the z-transform, linearity of the z-transform, the unilateral z-transform, region of convergence, existence of the z-transform, finding the inverse transform, examples. (Chapter 11) |
|
Thursday Nov. 18th |
|
Second Midterm, Review Lecture |
|
Friday Nov 19th |
29 |
Some properties of the z-transform, LTID system response, multiplications, z-transform of linear difference equations, zero state and zero input responses, examples. (Chapter 11) |
|
Tuesday Nov 23rd |
30 |
System realization, connection between |