In this question, the code is need to make dft at the first and then there are many requirments
Identification of pole positions in a system consider the system described by the difference equation
y(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) is the sequence generated in part (a). Plot the DFT values |W(k)|.
Where can you conclude from the plots in part (a) and (b)?
Matlab code for dft to implment difference equation:Compute the N = 128 point DFT of the sequence
1. Let {X[k]}K=o be the N = 8-point DFT of the real-valued sequence x[n] = [1, 2, 3, 4]. (a) Let Y[k] = X[k]ejak + X[<k – 4 >8] be the N = 8-point DFT of a sequence y[n]. Compute y[n]. Note: Do NOT compute X[k]. (b) Let Y[k] = X*[k] be the DFT of the sequence y[n], where * denotes the conjugate. Compute the sequence y[n]. Note: Do NOT compute X[k].
| The 8-point DFT of a sequence x[n] is X[k]=102-1047k, Osk57. Use the inverse DFT in MATLAB to find the sequence x[n]. Turn in a copy of your code and the output generated.
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.
please answer it in detail (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...
-Σ rinkin + ml. Sequence c[n] is defined as c[n] x(n] = { 1,-1, 1 } as x[k] and 5-point DFT of c[n] as c[k]. (i) Calculate C[1]? 「[I] = 1-e^(-%72%pi/5)+6 alculate the 4-point DFT of sequence Your last answer was interpreted as follows: I-e + e- Incorrect answer. ii) Calculate i [] is the conjugate operator) -96 Your last answer was interpreted as follows:-i Incorrect answer. -Σ rinkin + ml. Sequence c[n] is defined as c[n] x(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...
Consider a finite length DT sequence of length N -16 described below. 1, 0<n< 2 Use MATLAB built-in function dftmtx (N), and compute X[k] command and create stem plots for the following: DFT(X[k]. Use subplot (a) x n] vs n; (b) X[k] vs k; (c) angle (X [k) vs k. Label axes of these plots and include title for each of these plots
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
Determine the 10 point DFT of the following sequence: x(n) = 1 ; 2 ≤ n ≤ 6 0 ; otherwise.
For the sequence given by x[n] = {1,1,1,1,1,1,1,1} , find the DFT using DITFFT 8-point butterfly structure.