(TCO 7) Given that e^jT equals -1, find the third root of -1 using Euler's formula. In other words, find the value of (-1)^3.
0.866 + j0.866
0.5 + j0.5
0.5 + j0.866
0.866 + j0.866
Question 5
6 pts
(TCO 7) Using the fundamental definition of discrete Fourier transform (DFT)
X[k] = ΣN=1 x(n)e^(-j2πkn/N) (Equation 3) of a periodic sequence with a digital period of 4 if the first four terms of the sequence are given by -6, 2, 2, and 1.
X(0) = -1, X(3) = 8 + j1
X(0) = 1, X(3) = -8 - j1
X(0) = -1, X(3) = -8 - j1
X(0) = -1, X(3) = -8 + j1