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| Homework | Course topic | MATLAB topic | Related Sections |
|---|---|---|---|
| HW 1 | Signals | Ch1 | |
| HW 2 | LTI systems, Convolution, Causality and Stability | 2.1-2.6 | |
| HW 3 | LTI Sinusoidal Response, Second-Order LCCDE, | 2.7-2.9, 3.1-3.3 | |
| Laplace transform and its properties | |||
| HW 4 | Circuit examples, Transfer function, | 3.4-3.8 | |
| LTI system stability, invertible systems | |||
| HW 5 | Interrelating Descriptions, s-domain analysis, | 3.10, 4.1-4.2 | |
| Fourier Transform | 5.7-5.8 | ||
| HW 6 | Fourier Series, Parseval's Theorem | 5.3-5.4, 5.7-5.8, 5.9 | |
| HW 7 | Signal Filters, Filters, Sampling | 6.1, 6.6-6.10, 6.12 | |
| HW 8 | Fourier Transform, Sampling, Signals and Functions | 5.7-5.8, 6.12, | |
| Discrete-Time LTI systems, D-T Convolution | 7.1-7.5 | ||
| HW 9 | Z-trans, Inverse z-trans,difference equations | 7.5-7.12 | |
| Transforms and BIBO stability, Freq response | |||
| HW 10 | DTFS, DTFT, DFT | 7.12-7.15 | |
| HW 11 |
| Lab | Topic | MATLAB topic/ commands | Time durations | Related Sections |
|---|---|---|---|---|
| LB 1 | Intro to MATLAB, data acquisition | sound, wavewrite, save, | two weeks | |
| LB 2 | LTI, Convolution, Impulse response | System of equations, conv | two weeks | 2.2,2.3,2.8 |
| Speaker Crossover | ||||
| LB 3 | Laplace transform analysis, | freqz, roots, conv, zplane | Three weeks | 4.5,4.6,6.8 |
| Butter Worth Filter | ||||
| LB 4 | Filter signals, aliasing | audiorecorder, audioplayer, disp, wavread, and conv. | Two Weeks | 6.12 |
| LB 5 | Bandpass filter | load, length, log10, exp, conv, fft, freqz, fftshift, | Three weeks | B W filters 6.8 |
| zplane, filter, pwelch, rectwin, butter. | Sampling 6.12 | |||
| D-time conv 7.5 | ||||
| z-trans 7.6 | ||||
| stability 7.11 | ||||
| sys freq resp 7.12 | ||||
| DTFT 7.14 | ||||
| DFT 7.15 | ||||
| Windowing 7.15 | ||||
| D-time filter 8.1 |
Introduction for those unfamiliar with MATLAB
Combined Signal transformations Use the even odd synthesis to form x(t). x(t) = 1/2Xeven(t) + 1/2Xodd(t) Practice creating the different waveforms in MATLAB to gain familiarity for future assignments
Create a robust function for convolution and have them visually see some of the properties: commutative, associative, causal * causal, width...
LTI Sinusoidal Response (2-7). Have them compute H(w) for an RLC circuit with a sinusoidal source input( either cos or sin). Plot the magnitude and phase for various frequencies to help them visualize that |H(w)| is an even function and the phase <H(w) is an odd function. Sections 2-8, and 2-9 are about impulse response of second-order LCCDEs. Lab 2 covers this material, however it did seem like students struggled with it. We can create a MATLAB program that will reinforce the main ideas. Sections 3-1 - 3-3 introduces the Laplace transform. Help students gain intuition about the properties of the Laplace Transform. This would be a long project, perhaps over two weeks.