Hi pls help with A to E if possible, Really need E as it carries more marks. Also need urgently. Where it says FigQ4(a)

[answerhappygod]

Hi pls help with A to E if possible, Really need E as it carries
more marks. Also need urgently. Where it says FigQ4(a) is a
mistake it's actually FigQ5(a) the
circle. Accurate answers, don't copy others pls and
upvote guaranteed. Thanks.

Hi Pls Help With A To E If Possible Really Need E As It Carries More Marks Also Need Urgently Where It Says Figq4 A 1 (47.09 KiB) Viewed 71 times

Hi Pls Help With A To E If Possible Really Need E As It Carries More Marks Also Need Urgently Where It Says Figq4 A 2 (23.86 KiB) Viewed 71 times

Hi Pls Help With A To E If Possible Really Need E As It Carries More Marks Also Need Urgently Where It Says Figq4 A 3 (37.05 KiB) Viewed 71 times

Hi Pls Help With A To E If Possible Really Need E As It Carries More Marks Also Need Urgently Where It Says Figq4 A 4 (35.48 KiB) Viewed 71 times

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.

N Q5(ii) Properties of Wk N A property of the geometry of W when N is a power of 2, any value Wm for mn > 7 maps to where k = nm mod N and a mod b is the integer remainder of a/b. For example, for nm = 27, k = 27 mod 8 = 3 (27/8 = 3r3). Thus 0(2x7) = 07. Hint the MATLAB function for modulo division a mod bis mod(a,b) b) Use this property to give the equivalent k for n x m= 6 x 6 when N = 8. Submit part 1 mark Unanswered c) Give the angle 8(7x6) (in radians) of the complex number W, (76).

d) Give the equivalent value of W., k< 8 illustrated in Figure Q5(a) for W, **) in terms of cos and sin Use i not jin your expression. Do not compute cos and sin! Your expression should look like: cos(k*theta) - i sin(k theta) Submit part 1 mark Unanswered e) Recalling that Tum WE Tmr = COS -js E 0 1 use Figure Q4(a) and the results of the previous parts to complete this tabulation of W. fork=0, 1,...8. Enter values as mathematical expressions, eg 1/sqrt(2) or real numbers rounded to 3 decimal places. Table Q5: Tabulation of W.k for k=0,1,...8 W. RealPart Complex Part W w -1/sqrt(2) W W W w w 7 w 1/sqrt(2) 2 کا فما 3 -1 5 2.787 6 0 8 w