Answer:
Computing the 6-Point DFT of x(n), where X = 0,1,2,3,4,5
x(0) = 11
x(1) = 21/8 -j13/8
x(2) = 27/8 + j33/32
x(3) = 1139/256 + j91/256
x(4) = 4389/1024
x(5) = 4.14685 - j1379/8192
Step-by-step explanation:
See the picture for workings.
Given X(n) = { 4, -1, 2, 5, -2, 3}
Six point DFT implies that N = 6
Step 1 = write out equation X(k)
Step 2 = substitute "Wn" in the equation X(k) to give a new equation
Step 3 = when N=6, substitute for "N" in the new equation and simplify the new X(k) equation.
Step 4 = use 0, 1, 2, 3, 4, 5 in finding the DFT
