Problem set for chapter 2: 2.2,2.9,2.11,2.22,2.38,2.43,2.44, read about Bussgang Theorem

(due April 4, to be discussed on April 3)

Problem set for chapter 3: 3.2,3.5,3.15,3.22,3.26

(due April 11, to be discussed on April 10)

Problem set for chapter 4a: 4.2, 4.3, 4.6, 4.13, 4.18, 4.22,

(due April 25, to be discussed on April 24)

Problem set for chapter 4b: 4.23, 4.32, 4.39, 4.44 - 1, 4.53, 4.54 

(due May 9, to be discussed on May 8)

Problem set for chapter 6: 6.5, 6.15, 6.22, 6.42, 6.62(1), 6.66,

Extension (1) of 6.66: Redo 6.66 without the optimal bit-by-bit detector. That is, just assume the continuous output channel y=x+n, where x is binary antipodal and n is white Gaussian noise.

Extension (2) of 6.66: Redo Extension (1) for 4PAM modulation. NOTE: Do not redo 6.66 itself for 4PAM as this is much more difficult than redoing extension (1) for 4PAM.

Use Matlab to visualize the results.

(due May 14, to be discussed on May 8)

Problem for chapter 8: Description,  encoder, decoder

Note: This problem is asusmed to be done entirely in the discrete domain. Thus, no continuous time signals need to be created.

(to be discussed on May 22)

Problems for chapter 9: 9.12 (a)-(c), 9.14, 9.15, 9.23, 9.36, 9.41, 9.46

(to be discussed on May 22)

Problems for chapter 10: No problems

Problems for chapter 11: 11.2, 11.3, 11.5 (note typo in book: 11.2-11 and 11.2-12 should be 11.2-20 and 11.2-21).

Extra problem 1: Redo Section 11.1-1 for unequal channel gains (the alpha values) and unequal input powers at the different channels. Find the optimal power allocation as a function of the alpha values.

Extra problem 2: For the same setting as in extra problem 1, assume that the "signal combiner and detector" in figure 11.1-1 simply adds all signals up with uniform weighting. Find the optimal power allocation as a function of the alpha values. Assume that all phases ("phi") in (Eq 11.1-2) are zero, or equivalenty, that they are compensated at the transmitter.

(to be discussed on june 12)

Problems for chapter 13: 13.1 (a)-(b), 13.4 (a)-(d), 13.6, Prove eq. 13.5-36.

Hint 1: In 13.4 (d), the data rate is not given. Assume a data rate of 1 bit/sec. Use a multicarrier system with frequency spacing 1/T.

Hint 2: The text between eq 13.5-35 and 13.5-36 is sufficient for proving eq 13.5-36.

Hint 3: To learn the most of "prove  eq. 13.5-36", try to do this via "first whiten the noise, then apply the matched filter".

(to be discussed on june 12)

Problems for chapter 14: 14.5, 14.11 (Hint: Use eq. (13.4-13))

Problems for chapter 15: 15.4, 15.10, 15.18

Problems for chapter 16: 16.2, 16.3, 16.22 (Hint: start by sketching a figure similar to to the one in Figure 16.2-4)

(To be discussed on June 28)