ELEC 310 Midterm: ELEC 310 UVic Elec 310 Sample Midterm 1 2005

• School: University of Victoria
• Department: Electrical Engineering
• Course: ELEC 310
• Professor: All

Document Summary

Sample midterm: a periodic signal is given by x(t) = hcos(cid:16)16 t + 3(cid:17) (a) draw the amplitude spectrum of x(t). (b) give the fundamental period of x(t): we will be dealing with the signal x(t) below: x(t) = (cid:26) 2 |t| |t| < 2 otherwise (a) find the fourier transform of x(t). (b) find the fourier transform of: y(t) = cos(20t) x(t) 3. (a) find a fourier series representation of xp(t) where xp(t) = Xn= x(t n) with x(t) = (cid:26) cos(cid:0) . 2 t(cid:1) |t| < 2 otherwise (b) find a fourier series representation of y(t) = xp(t) + sin(cid:16)12 t + 8(cid:17) with xp(t) de ned as above. (c) draw the amplitude spectrum of y(t): the signal x(t) = (cid:26) e 12t+6 2 t 10 otherwise. 0 is sampled at a sampling frequency of 4 hz, so x[n] = x (nts) with ts = 1. 4 seconds. (a) what is the fourier transform of.