![(a) Find the 10 point DFT of the sequence r(n) -1,1,1,1,1,0,0,0,0,0], for n- 0,..,9. X(k)-4,1-j*2.414,0,1-j 0.414,0,1+j 0.414,0,1+j 2.414 help (formulas) Hint: You can use the formula used in example 7.1.2 in page 457 Compute the DFT of the following sequences in terms of X(k). Do not copy the entire formula of X(k) from part (a). (b) ri(n) - [0,0,0,1,1,1, 1, 1,0,0], for n-0,...,9. Xi(k)4,1+j 2.413,0,1+j0.414,0,1- 0.414,1-j2.413 You may use X(k) to denote the DFT of x(n). help (formulas) (c) 22 (n) = [1, 0, 0, 0, 0, 0, 1, 1, 1, 11, for n = 0, . . . ,9. X2(k)= 4,-2.414-j,0,0414+),0.j-2.414 You may use X(k) to denote the DFT of x(n). help (formulas).](http://img.homeworklib.com/questions/bfdfeda0-76ba-11eb-b5b7-979eb4b02e4e.png?x-oss-process=image/resize,w_560)
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(a) Find the 10 point DFT of the sequence r(n) -1,1,1,1,1,0,0,0,0,0],...
Matlab code for dft to implment difference equation:Compute the N = 128 point DFT of the sequence
In this question, the code is need to make dft at the first and then there are many requirmentsIdentification of pole positions in a system consider the system described by the difference equationy(n) = -r2y(n – 2) + x(n)(a) Let r = 0.9 and x(n) = ?(n). Generate the output sequence y(n) for 0 ? n ? 127.Compute the N = 128 point DFT {Y(k)} and {|Y(k)|}.(b) Compute the N = 128 point DFT of the sequence?(n) = (0.92)-ny(n)Where y(n)...
I Need Help with 4,6,8,10,15,18 Problems 123 If f(n) is a periodic sequence with period N,...
I
Need Help with 4,6,8,10,15,18
Problems 123 If f(n) is a periodic sequence with period N, it is also periodic with period 2N. Tet 8(k) denote the DFS coefficients of X(n) considered as a periodic sequence with period N and X,(k) denote the DFS coefficients of x(n) considered as a periodic sequence with period 2N. X,(k) is, of course, periodic with period N and X2(k) is periodic with period 2N. Determine 8(k) in terms of X (k). 5. Consider two...
Can you help me to solve this problem P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s....
Can you help me to solve this problem
P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s.
P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s.
Find N-point DFT of x[n]= n=0,1,…,N-1 X[n] = Using the periodicity of the complex exponentials,...
Find N-point DFT of x[n]= n=0,1,…,N-1 X[n] = Using the periodicity of the complex exponentials, we can write x[n] follows: X[n] = The DFT coefficients are 9N/2 k=0 X[k]= N/4 k=2 and k=-2 0 else
Determine the 10 point DFT of the following sequence: x(n) = 1 ; 2 ≤ n ≤ 6; 0 otherwise.
Determine the 10 point DFT of the following sequence: x(n) = 1 ; 2 ≤ n ≤ 6 0 ; otherwise.
PROBLEM 1: Let xfn], O < n 3 N-1 be a length-N sequence with an N-point...
PROBLEM 1: Let xfn], O < n 3 N-1 be a length-N sequence with an N-point DFT X[k], 0 k N-1. Determine the N-point DFT's of the following length-N sequences in terms of X[k]: (a) w[n] = az[M-m1〉N] + β (n-m2)N], where m 1 and m 2 are positive integers less than N. (b) g[n] ={z[n] for n even for odd
Please answer all three parts. Please write down formulas that you use and write down explanations...
Please answer all three parts. Please write down formulas that
you use and write down explanations when needed! Will give you
thumbs up and leave a great comment!!! Thank you!!!
4. (a) let x[n] be a finite duration signal of duration N. Let y[n] = DFT(DFT(a[n])). All DFTs are N point DFTs. Find vinl in termas of rinl Prove all the properties you use in arriving at your result (b) Let an] and yIn] be sequences of duration N with...
1 LetXTk], 0sks11, be a 12-point DFT of a length-12 real-valued sequence x[n] with the first...
1 LetXTk], 0sks11, be a 12-point DFT of a length-12 real-valued sequence x[n] with the first 7 samples of XTk] given by X[k] ={12, IJS, 2-j14,6+)3, (a) Write down the whole X[k] sequence (b) Determine x[O] (c)Determine rip] n-0 (d) Determine rej2m 4x[n] Determine y.pl. 双.4xfn (e) Determine 2 x[n] n-0
Question 4 (a) Find the DFT of the series x[n)-(0.2,1,1,0.2), and sketch the magnitude of the resulting spectral components [10 marks] (b) For a discrete impulse response, h[n], that is symmetric...
Question 4 (a) Find the DFT of the series x[n)-(0.2,1,1,0.2), and sketch the magnitude of the resulting spectral components [10 marks] (b) For a discrete impulse response, h[n], that is symmetric about the origin, the spectral coefficients of the signal, H(k), can be obtained by use of the DFT He- H(k)- H-(N-1)/2 Conversely, if the spectral coefficients, H(k), are known (and are even and symmetrical about k-0), the original signal, h[n], can be reconstituted using the inverse DFT 1 (N-D/2...
\ Can anyone explain a and b how they got this answer. what formula they use P-8.2 For each ofthe following 10-point DF「s, determine a formula the l0-point IDFT Use MATLAB to check your work numeri...
\ Can anyone explain a and b
how they got this answer. what formula they use
P-8.2 For each ofthe following 10-point DF「s, determine a formula the l0-point IDFT Use MATLAB to check your work numerically. 1に0 (a) Xa[k] = 0 k = 1, 2, . . . ,9 (b) Xolk-1 for k = 0, 1,2, ,9 (c)Xc[k] =10 k = 0,1,2, 4, 5, 6, 8, 9 (d) Xalk]cos(2mk/5) for k 0,1,2,...,9 k=3, 7 I (a) Substituting into the inverse...
I
Need Help with 4,6,8,10,15,18
Problems 123 If f(n) is a periodic sequence with period N, it is also periodic with period 2N. Tet 8(k) denote the DFS coefficients of X(n) considered as a periodic sequence with period N and X,(k) denote the DFS coefficients of x(n) considered as a periodic sequence with period 2N. X,(k) is, of course, periodic with period N and X2(k) is periodic with period 2N. Determine 8(k) in terms of X (k). 5. Consider two...
Can you help me to solve this problem
P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s.
P5.30 Let X (k) be the 8-point DFT of a 3-point sequence x(n)- 15, -4,3). Let Y(k) be the 8-point DFT of a sequence y(n). Determine y(n) when Y (k) -Ws*X(-k)s.
PROBLEM 1: Let xfn], O < n 3 N-1 be a length-N sequence with an N-point DFT X[k], 0 k N-1. Determine the N-point DFT's of the following length-N sequences in terms of X[k]: (a) w[n] = az[M-m1〉N] + β (n-m2)N], where m 1 and m 2 are positive integers less than N. (b) g[n] ={z[n] for n even for odd
Please answer all three parts. Please write down formulas that
you use and write down explanations when needed! Will give you
thumbs up and leave a great comment!!! Thank you!!!
4. (a) let x[n] be a finite duration signal of duration N. Let y[n] = DFT(DFT(a[n])). All DFTs are N point DFTs. Find vinl in termas of rinl Prove all the properties you use in arriving at your result (b) Let an] and yIn] be sequences of duration N with...
1 LetXTk], 0sks11, be a 12-point DFT of a length-12 real-valued sequence x[n] with the first 7 samples of XTk] given by X[k] ={12, IJS, 2-j14,6+)3, (a) Write down the whole X[k] sequence (b) Determine x[O] (c)Determine rip] n-0 (d) Determine rej2m 4x[n] Determine y.pl. 双.4xfn (e) Determine 2 x[n] n-0
Question 4 (a) Find the DFT of the series x[n)-(0.2,1,1,0.2), and sketch the magnitude of the resulting spectral components [10 marks] (b) For a discrete impulse response, h[n], that is symmetric about the origin, the spectral coefficients of the signal, H(k), can be obtained by use of the DFT He- H(k)- H-(N-1)/2 Conversely, if the spectral coefficients, H(k), are known (and are even and symmetrical about k-0), the original signal, h[n], can be reconstituted using the inverse DFT 1 (N-D/2...
\ Can anyone explain a and b
how they got this answer. what formula they use
P-8.2 For each ofthe following 10-point DF「s, determine a formula the l0-point IDFT Use MATLAB to check your work numerically. 1に0 (a) Xa[k] = 0 k = 1, 2, . . . ,9 (b) Xolk-1 for k = 0, 1,2, ,9 (c)Xc[k] =10 k = 0,1,2, 4, 5, 6, 8, 9 (d) Xalk]cos(2mk/5) for k 0,1,2,...,9 k=3, 7 I (a) Substituting into the inverse...
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