Hi pls help with F, need this urgently. Accurate answers, don't copy others pls and upvote guaranteed. Thanks.

[answerhappygod]

Hi pls help with F, need this urgently.
Accurate answers, don't copy others pls and upvote guaranteed.
Thanks.

Hi Pls Help With F Need This Urgently Accurate Answers Don T Copy Others Pls And Upvote Guaranteed Thanks 1 (47.09 KiB) Viewed 39 times

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Q5(i) DFT The discrete Fourier Transform (DFT) of a discrete-time signal 3 [n] is given by N-1 X[m] = [n]WF TO where WN= exp exp( FT). j2 N The complex function Wrn for n=1 and N = 8 is illustrated in Figure Q5(a) where we note that 8 = 2*/8 = */4. W w W W. w 0 = -4 W W 12-0) W? Figure Q5(a) – The function W, where k=1,2,... 7.

Given that exp(-;0) = cos 6 – jsin the discrete Fourier transform for an 8-point DFT N = 8 can be expressed trigonometrically as: 7 R{X[m]} = 1[0] + [n] cos Orm for m = 0,1,2...,7 = n=1 and 7 I{X[m]} -=[n] sin Orm for m = 0,1,2...,7 11 where (nm) Gur = a) Give the angle nom (in radians) when n = 6 and m = 6.

Q5(iii) - The Discrete Fourier Transform (DFT) f) An 8-point sequence z is defined as I[n] =(0, 1, 2, 3, 4, 5, 6, 7) Use the results of parts Question 5() parts a)-e), or some other method, to compute the Discrete Fourier Transform X[mn] for m = 0,1,4 and 7. Enter complex numbers using the imaginary number i as in 1, 1-21, and a + bi X[0] X[1] X[4] X[7] Submit part 2 marks