Monday, February 9: Hilbert transform
hilbert_demo.m
Friday, February 13: Amplitude Modulation in Simulink
(See Homework 5 for questions related to these programs.)
Run the following Simulink programs in matlab5 on the Sun computers. To start filename.mdl, type filename at the Matlab prompt.
Wednesday, March 4, 1998:
MATLAB program mod_ex.m for analog modulation and demodulation for Project 2.
(Program was developed and tested using matlab5 on the Sun computers.)
Monday, March 30, 1998: Quantization Demonstration
MATLAB program quant_demo.m
Try changing the number of bits to R = 7, 6, 5, 4, 3, 2, 1. At which number of bits and corresponding signal-to-quantization-noise ratio does the noise due to quantization become audible?
If you just want the results, you can click below to hear the effects of quanitizing to R bits or L = 2^R + 1 levels:
Original, 7 bits, 6 bits, 5 bits, 4 bits, 3 bits, 2 bits, 1 bit.
Monday, April 6, 1998: Matched Filter Demonstration
MATLAB program matchfilt.m
- Note that rectangular filtering of the rectangular pulse performs the best out of the three methods.
- Run the program until you see a case where the matched filtering of the triangular pulse is better than rectangular filtering.
- Try changing the noise amplitude with the variable wstddev.
- The program mc_matchfilt.m simulates the detection performance of the various filters over 10,000 runs.
Monday, April 13, 1998: Raised Cosine Zero-ISI Demonstration
MATLAB program rcdemo.mdl
- Run the Simulink program rcdemo.mdl in matlab5
- Try changing the "Filter rolloff factor" in the "R-C filter" block. This is the "alpha" parameter of the raised-cosine pulse, and the allowable range is from 0 to 1. Recall that alpha = 0 is a sinc-shaped pulse.
- Observe the eye diagram for different values of alpha. Is the eye "more open" when alpha = 1? Can you see much less sensitivity to errors in the sampling times when alpha is close to 1?
- Try increasing the noise size by changing "sigma" in the "Rayl N" block from 0.001 to 0.1. See how the "scatter diagram" smears, and also see the effect on the eye diagram.
- Be sure that you understand how the eye diagram and scatter diagram are produced!
Friday, April 17, 1998:
The effect of bit errors on speech in a 64 kbps PCM system
Here are three speech files to listen to. They are designed to illustrate how bit errors in a PCM system affect the quality of speech that is heard at the receiver. Each file is produced by sampling speech 8000 times per second and quantizing each sample with 8 bits.
- clint.au is the original speech signal, with no transmission errors.
- c1.au corresponds to transmission over a channel with a bit error rate (BER) of 0.1, so that 1 in 10 bits is received incorrectly (on average).
- c4.au corresponds to transmission over a channel with a BER of 0.001, so that 1 bit in every 1000 bits is received incorrectly (on average).
Amati Communications Corporation and ADSL (Asymmetric Digital Subscriber Line)
Look at the "white paper" for a technical description of ADSL.
Monday, April 20, 1998:
Digital Communication System Design Exercise
April 22, 24, and 27, 1998: Adaptive Equalization
- MATLAB program zfeq.m for Zero-Forcing (ZF) Equalization with no noise
Try changing the channel time constant tau in the program. Notice how the equalizer "opens the eye" perfectly!
- MATLAB program zfeqn.m for Zero-Forcing Equalization with additive noise
Notice that the equalizer seems to amplify the noise: the noise looks larger in the eye diagram after equalization. Why is this true?
- MATLAB program wienereq.m for Wiener Filter Equalization with additive noise. This program includes the ZF equalizer for comparison.
- MATLAB program lmseq.m for adaptive equalization using the LMS algorithm.
May 1, 1998: Passband Digital Modulation
Please see Project 3Also see Links to CDMA sites.