CS 3413 Data Communications, Fall 2004 Assignment 1

Due Tuesday, September 14, 2004

This assignment has 11 questions.

Most of the problems are from chapter 3 of the text.

Problem 0: Look at the copy of the syllabus handed out in class. Your copy may incorrectly indicate that the final exam is on Wednesday, December 8. The correct date is Thursday, December 9. If necessary, make the correction to you syllabus and state that your copy of the syllabus now has the correct date for the final exam.

Problem 1: Find a reference for trigonometric identities. State which reference you are using and write down formulas for the following:

Problem 2: Page 88, problem 3.2

Problem 3: Page 88, problem 3.3

Problem 4: Page 88, problem 3.4
More specifically, for each of the 7 notes after the first, find the ratio of the frequencies and wave lengths to those of the previous note. What is special about the numbers you obtain? How are they related to each other? Why do you think they are as they are?

Problem 5: Page 88, problem 3.5 Write the answer as a linear combination of functions in the form sin(ft+φ);

Problem 6: Page 88, problem 3.6

Problem 7: Page 88, problem 3.7

Problem 8: Page 88, problem 3.8

Problem 9: Page 88, problem 3.9 This problem refers to the formula for s(t) at the bottom of page 64. It is asking what the graph would look like if we started the sum at an odd value of k greater than 1. Sketch the graph for the case in which the sum starts at 7. Hint: look at figure 3.7.

Problem 10: Page 88, problem 3.10