For the sequence given by x[n] = {1,1,1,1,1,1,1,1} , find the DFT using DITFFT 8-point butterfly structure.
For the sequence given by x[n] = {1,1,1,1,1,1,1,1} , find the DFT using DITFFT 8-point butterfly...
ASSIGNMENT 2 (C4,_CO2, PO1) 1. Calculate DFT of the following discrete-time sequence, x(n) using DFT technique x(n) = {72,-56, 159) (C4, CO2,PO1) 2. Calculate the 8-point DFT of the following discrete-time sequence, x(n) using Decimation In Time Fast Fourier transform (DIT-FFT) algorithm. Show the sketch and label all parameters on a signal flow graph/butterfly diagram structure in your answer. (1-3<ns3 x(n) = 0 elsewhere
| 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.
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].
Problem 10: a) Given the following sequence: x[n]={1, 2, 3, 4} where x[?= 1. Use the decimation in time FFT algorithm to compute the 4-point DFT of the sequence X[k]. Draw the signal flow & the butterfly structure and clearly label the branches with the intermediate values and the twiddle factors W = e- /2nk b) The inverse discrete Fourier transform can be calculated using the same structure and method but after appropriately changing the variable WN and multiplying the...
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)...
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
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...
The DFT sequence of x[n] of length x[n] is given as follows: X[0] = 2 X[1] = 2 + jα X[2] = 5-j4 X[3] = β+j3 X[k1] = 2 X[k3] = 2-j3 X[k2] = 5+j4 X[7] = γ+j3 Find α, β, γ, k1, k2 & k3
Determine the 10 point DFT of the following sequence: x(n) = 1 ; 2 ≤ n ≤ 6 0 ; otherwise.