MATH 267 Study Guide - Midterm Guide: Discrete-Time Fourier Transform
Document Summary
Do not open exam until so instructed: this exam has twenty-one pages, including this cover, and four blank pages at the end, one 8. 5x11 double-sided page of notes is al- lowed. Ex- plain your work, using the back of the previ- ous page if necessary: problems are not organized by di culty, relax. Plot complex numbers = 2e i priately. Rewrite cos(x) cos(3x) as a simple sum of cosines. cos(x) cos(3x) = For both parts of this question, consider g(x), de ned only for x [0, 2 ], g(x) = For x [ 2 , 2 ], sketch the odd extension godd(x) in the space provided, Compute the coe cients ck,odd for the fourier series of godd(x). (continued next page) Page 5 out of 21 (problem 4, part b continued) ck,odd = You may use any formula, notation or method discussed in lecture. xu(t, x)
