ELEC 310 Quiz: ELEC 310 UVic Elec 310 Quiz 1 Soln Jan 7 2005

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

Document Summary

/ 5: in a signal processing system, the input signal is sampled at time t = 0, 1, 2, 8 seconds before being processed. You should know that the complex fourier series for a signal, x(t), that is periodic with period t0 is given by x(t) = 2 x(t) e jn st dt with s = 2 . In class, it was shown that if x(t) is real for all t, then a n is the complex conjugate of an. The complex conjugate of a complex number z = (c + jd) is z = (c jd) where c and d are reals and j = 1. What is the relationship between an and a n if x(t) is purely imaginary for all t? ( hint: is there a simple transform to change a purely imaginary signal x(t) to a purely real signal? )