FREE Download Lecture Notes for almost engineers about (signal and systems,complex numbers etc.) (pdf files)
There is not a 1-to-1 correspondence between "Notes #" and "Lecture #", so...
Suggestion: Print out all notes for a chapter **before** we begin that chapter and bring them to each class.
- Review of Complex Numbers and Sinusoids (You are responsible to review this material... you will be tested on this)
- Historical Link: Euler on Wikipedia
- Video Lecture on Complex Numbers (The angle for Example #4 should be -1.57 rad rather than 1.57 rad)
- Notes on Complex Numbers (The angle for Example #4 should be -1.57 rad rather than 1.57 rad)
- Complex Number Review Sheet
- Chapter 1: Fundamental Concepts
- Matlab Tutorial
- Chapter 2: Differential and Difference Equations
- Notes #6 CT System Model
- Review of Differential Equations (You are responsible to review this material... you will be tested on this)
- Finding Differential Equations
- Review Video from EECE260 Electrical Circuits (You are responsible to review this material... you will be tested on this)
- Examples of Finding Differential Equations (Look particularly at the last example!!)
- Notes #7 DT System Recursion
- Chapter 2: Zero-State Solution via Convolution
- Notes #8 DT Convolution
- Notes #9 DT Convolution
- Notes #9a Motor Speed Example
- M-File: motor_speed.m
- DT Convolution Examples
- Notes #10 CT Convolution
- Notes #11 CT Convolution
- Notes #11a RC Circuit and Guitar
- M-File: RC_filt.m & guitar1.wav
- CT Convolution Practice
- Videos of Convolution Examples and Web Demos
- Chapter 3: Fourier Series & Fourier Transform for CT Signals
- Historical Link: Fourier on Wikipedia
- Notes #12a Sinusoids and Complex Sinusoids
- Notes #12 FS Motivation Trig and Integral Tables (Download these Tables!!)
- Notes #13 FS Details (Don't Use the Book's Tables!!)
- Fourier Series Examples
- Notes #14 Fourier Transform FT Tables (Download these Tables!!)
- Notes #15 FT Properties (Don't Use the Book's Tables!!)
- Notes #16 Generalized FT
- Fourier Transform Examples
- Chapter 5: Zero-State Solution via Frequency Domain Methods
- Notes #17 CT Sinusoidal Response
- Notes #18 CT Periodic Signal Response
- Notes #19 CT Aperiodic Signal Response
- Notes #20 CT Ideal Filters
- Notes #21 Sampling of CT Signals
- Historical Link: Claude Shannon on Wikipedia
- Historical Link: Harry Nyquist on Wikipedia
- Frequency Response Examples
- Sampling Demo
- Chapter 4: DT Fourier Methods
- Notes #22 DTFT Motivation
- Notes #23 DTFT Details DTFT Tables (Download these Tables!!)
- Notes #24 DFT Definition (Don't Use the Book's Tables!!)
- Notes #25 DFT - DTFT - CTFT Relations
- Notes #26 DTFT System Analysis
- DFT Demos
- Chapter 6: Laplace Transform for CT Signals
- Historical Link: Oliver Heaviside on Wikipedia (Heaviside championed use of Laplace in Circuit Analysis)
- Historical Link: Laplace on Wikipedia
- (Note the statement that it was really Euler who invented the Laplace Transform!)
- Notes #27 CT Laplace Transform LT Tables (Download these Tables!!)
- Extra Chart (Don't Use the Book's Tables!!)
- Notes #28 CT Using LT to Solve DiffEq
- Notes #28a CT Partial Fractions
- Notes #29 CT Transfer Function
- LT Examples
- Chapter 8: CT System Analysis using Laplace Transform
- Notes #30 CT System Stability
- Notes #31 CT LT Analysis for System Response
- Notes #32 CT Frequency Response and Bode Plots See Link Below in "Links Of Interest"
- Historical Link: Hendrik Bode on Wikipedia
- Review Decibels
- Bode Plot Examples
- Some Real-World Analyses Using LT & Bode Plots
- Chapter 7: Z Transform and DT System Analysis
- Notes #33 DT Z Transform ZT Tables (Download these Tables!!)
- Notes #33a PFE for ZT (Don't Use the Book's Tables!!)
- Notes #34 DT Using ZT to Solve Difference Eqs
- Notes #35 DT System Stability and Frequency Response
- DT Filter Examples
- Notes #33 DT Z Transform ZT Tables (Download these Tables!!)
MATLAB Links
We will be using MATLAB during EECE 301 for demos and assignments.There will be a Tutorial during an early Discussion section to get you started with MATLAB
(See the link to my MATLAB Tutorial above in the section "Discussion Notes" ).
Here are some other tutorial links you might find useful:
- MATLAB Getting Started Links
- MATLAB Getting Started (Web Link)
- MATLAB Getting Started (Download pdf file from Mathworks' Web Site)
- MATLAB Web Site
Links of Interest
A. Learning LinksTextbook's Web Page
Has the following things:
Graphical Demo of Complex Sinusoid (Rotating Phasor)
- Worked Problems for more practice
- On-Line Demos
- Matlab Tutorial
- Downloadable M-Files from the book
Signals & Systems Demos (Johns Hopkins University)
A site of java applets to demonstrate signals & systems ideas.
Great Web Site for Bode Plots
The Scientist and Engineer's Guide to Digital Signal Processing
A book mostly about digital signal processing (as in EECE 402) but could be helpful for EECE 301
And... it is completely free to download!!!
B. Connections to the Real World
Info on DSP Processors
Dedicated H/W D-T System
Analog Devices manufactures DSP chips, ADC, digital receiver chips, etc. This is a good place to see how the theory we cover gets put to use.
Graychip manufactures DSP hardware like digital filter chips and digital receiver chips.
Design of a Convolution Engine optimised for Reverb
A paper that covers issues surrounding implementation of convolution-based reverb processing for audio
DAFX - Digital Audio Effects
Clicking on the picture of the book gets you to...
A web site for a book on how to use DSP to create audio effects... has matlab m-files on the site
Spectrum Allocation Chart
This chart shows the allocation of the radio spectrum for its various uses.
DSP and A Hard Day's Night
A mathematician tries to use the DFT to unravel the chord that begins A Hard Day's Night.
Interesting, but his methods are flawed!
Tutorials on Using DSP for Audio Time Stretching and Pitch Shifting
Explains how to use DSP to make audio "run slower" without changing the pitch
or to change the pitch without changing the speed.
Links to Circuits for Guitar Effects
Web Site with LOTS of Links!!There are lots of links here that you can explore!!!
How the mp3 algorithm works
A very rudimentary overview
Review of Speakers that Adapt to a Room's Frequency Response
Spec Sheet for the Speakers
Note the Frequency Response & Impulse Response plots!!!
Speaker Impedance
Link to Fishman "Acoustic Imaging" Site (The video will start by itself after just a bit)
An interesting web site that talks about many of the frequency response ideas we
talk about ("time delay = phase shift", "time-domain view", "frequency domain",
"adjustment in frequency response... magnitude & phase") and it is all implemented
using DT methods in the frequency domain!!
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