-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[...
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].
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.
| 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.
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
Problem #5 The 4-point DFT of a certain 4-point signal, x[n], is X[k] = DFT(x[n])-[ 0 Find the signal xIn] and write in terms of delayed unit samples. Answer: X[n] = 0 12 0]
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
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...
Prob.1.(6pts) Compute the 4-point i) (3pts) DFT for x(n)-l-5 4-7 -2] ii) (3pts) IDFT for X(k)-1-10 2-j6 -14 2+j6] Prob. 2. (5pts) i) (3pts)Derive the 4-point DIT (Decimation-InTime) FFT and draw its signal-flow graph representation. ii) (2pts) Using the signal-flow graph representations of the 4-point DIF FFT, calculate the 4-point DFT of X(k) for x(n)-1-5 4-7-2].
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
5.34 Let xIn],0sns N-1, be a length-N sequence with an N-point DFT XIk],0sksN-1. (a) sa symmetric sequence satisfying the condition x n] = 지(N 1 n)N] show that X [N/2] 0 for N even. (b) Ifx[n] is a antisymmetric sequence satisfying the condition x[n] = rKN-1-n)N], show that X[0] = 0 (c) If x[n] is a sequence satisfying the condition x[n] =-x[(n + M〉N] with N = 2M, show that X[21] = 0 for I=0, 1, ,M-1 5.34 Let xIn],0sns...