Handouts and Course Material
- Handout #1: Fourier Transform and Communication Systems
- Slides from lecture 1
- Hadwritten note from lecture 2
- Hadwritten note from lecture 3
- Slides from lecture 3
- Hadwritten note from lecture 4
- Slides from lecture 4
- Hadwritten note from lecture 5 + hexagon sheet
- Slides from lecture 5
- Slides from lecture 6
- Slides from lecture 7
- Handout #2: The Cellular Concept (draft 1)
- A collection of formula involving Poisson random variables and processes are provided at my site on probability theory. The note there is an overkill for this class. We will only study a couple properties of Poisson processes.
- Slides from lecture 8
- Lecture 8: Handout #3: Poisson process with probability review (part 1)
- Lecture 9: Handout #3: Poisson process with probability review (part 2)
- Slides for lecture 10
- Slides for lecture 11
- Lecture 10 and 11: The proof of Erlang B formula
- Handout #4: Erlang B formula and its corresponding Markov Chain
- The "best" introductory textbook on Markov chain is probably the one written by Norris. This again will be an overkill for this class but it serves as a good reference if you want to dig into this topic further. There are some sample chapters available on the web as well.
- Whitt wrote an article that provide several remarks on Erlang B formula via a number of HW exercises. Those who want to read more about Erlang B study may find it interesting.
- See also Appendix A.1 of Rappaport (1995)
- Example of MATLAB code for generation of Poisson process
- Slides for lecture 12
- Slides for lecture 13
- Unless your research topic is on deep probability theory directly, the following note on probability and random variables should be sufficient for your undergraduate study, graduate research, work, and life after death.
- An older version is publicly available on scribd.com
- Solution for Quiz 1 is posted.
- Here is another version which I wrote in class.
- Slides for lecture 14
- Lecture 15: Solution of the midterm
- Slides for lecture 16
- Slides for lecture 17
- Solution for Quiz 2 is posted.
- Slides for lecture 18
- For those who want to know more about Galois Field and its application, one of the best bookin the market is written by Stephen B. Wicker.
- I also have my own notes on this topic beased on the textbook above. These notes are graduate-level and hence not required for our class.
- This web site can help you find many primitive polynomials.
- Slides for lecture 19
- Slides for lecture 20
- The first person who finds the error on the last page of slides for lecture 20 gets one more point on the quiz score.
- Slides for lecture 21
- For deeper understanding of DSSS and CDMA, here are two references:
- Chapter 4 and 5 of [J. S. Lee and L. E. Miller, CDMA Systems Engineering Handbook. Boston, MA: Artech House, Oct. 1998].
- Chapter 4 of R.E. Ziemer, Fundamentals of Spread Spectrum Modulation. Colorado Springs: Morgan & Claypool Publishers, 2007
- Caution: This is a mistake in lecture 21! I should not write H_1 x H_1 = H_2 on the whiteboard. That is not true! Will clarify this in lecture 22.
- For deeper understanding of DSSS and CDMA, here are two references:
- Slides for lecture 22:
- Slides for lecture 23
- For deeper understanding of OFDM, please read
- Bahai, 2002, Evolution of OFDM (posted on the SIIT online lecture note system)
- J.A.C.Bingham : "Multicarrier Modulation for Data Transmission : An Idea Whose Time Has Come,"' IEEE Commun. Mag., Vol. 28, No. 5, pp.5-14, May 1990.
- For deeper understanding of OFDM, please read
- Slides for lecture 24
- Slides for lecture 25
- Slides for lecture 26
- Slides for lecture 27
Problem Set
- HW1 is posted on the SIIT online lecture note system
- This HW forces you to review properties of Fourier transform. Some materials are discussed in Lectures 2 and 3.
- Solution
- Question 1b was graded.
- HW2 is posted on the SIIT online lecture note system
- Read the last question carefully. We don't cover it in lecture but it will be useful later on.
- Typo: There should be a factor of 1/2 in the exponent of the Rayleigh pdf. Thank you aRm for pointing this out. The MATLAB code already has this factor; so there is no need to change that. A new version of HW2 is posted to address this fix.
- Solution: Question 1-6
- Question 4 was graded.
- HW3
- This assignment asks you to use MATLAB to verify the Erlang B formula.
- Here you will use discrete time approximation to simulate Poisson process for the call requests and the exponentially distributed call durations. At the end of the assignment, you will compare the blocking probability that you have in this model with the number from the Erlang B formula.
- You will also see how random variables are generated and analyzed in MATLAB.
- Caution: The variable A in question 1.d.ii and 1.d.iii is not the same as the variable A in the Erlang B formula.
- Solution
- This assignment asks you to use MATLAB to verify the Erlang B formula.
- HW4
- HW5
- HW6 (fixed)
- Partial Solution.
- Submission is needed for grad students.
- All students should try to work on this HW. It will give you a better understanding of OFDM.
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