![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. (5](http://img.homeworklib.com/questions/fc6f32f0-b0e1-11ea-b8a8-c50ead1a0a36.png?x-oss-process=image/resize,w_560)
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![10 2+6 x(h) 1-1 1-111-14 1千1-28 -8 rob 2 for 4 point DFT X(K) h-o ohere m: D DET 마 지[m] t(o) x (U xb) x(3) 20) x(2) CSI Scann](http://img.homeworklib.com/questions/1f883fe0-b0e2-11ea-8989-c3f277ac9848.png?x-oss-process=image/resize,w_560)
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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...
ASSIGNMENT 2 (C4,_CO2, PO1) 1. Calculate DFT of the following discrete-time sequence, x(n) using DFT technique...
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
Compute the FFT for x(n)-3, -2,-1,0,1,2,3,4], compute using 4-point DFT blocks and decimation in time method...
Compute the FFT for x(n)-3, -2,-1,0,1,2,3,4], compute using 4-point DFT blocks and decimation in time method (all details are required) (2 points)
determine and draw the signal flow graph for the N = 16 point, radix-4 decimation-in-time FFT...
determine and draw the signal flow graph for the N = 16 point, radix-4 decimation-in-time FFT algorithm. Using this flow graph, determine the DFT of the sequence x(n) = cos (πn/2) , 0 ≤ n ≤ 15
Using the 4-point DFT/IFFT in matrix form, determine: (a) The DFT of x[n] = [1, 2,...
Using the 4-point DFT/IFFT in matrix form, determine: (a) The DFT of x[n] = [1, 2, 1, 2]. (b) The IDFT of X[k] = [0, 4, 0, 4];
Problem #5 The 4-point DFT of a certain 4-point signal, x[n], is X[k] = DFT(x[n])-[ 0...
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]
Problem 10: a) Given the following sequence: x[n]={1, 2, 3, 4} where x[?= 1. Use the...
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...
5.25 LetX(eM) denote the DTFT of the length-9 sequence x[nl=[L -3, 4. -5, 7. -5. 4, -3. II (a) Fo...
5.25 LetX(eM) denote the DTFT of the length-9 sequence x[nl=[L -3, 4. -5, 7. -5. 4, -3. II (a) For the DFT sequence X1 k obtained by sampling X(em at uniform intervals of π/6 starting from ω 0, determine the IDFT x1(n) of X1[k] without computing X) and XiK]. Can you recover x In] from xilo (b) For the DFT sequence X|k] obtained by sampling X(e,") at uniform intervals of π/4 starting from ω ะ 0 determine the IDFT x2...
1. Let {X[k]}K=o be the N = 8-point DFT of the real-valued sequence x[n] = [1,...
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].
-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[...
-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] = {...
shown that the discrete Pourier transform(DFT) of a time-varying process h(4) for (k = 0, 1, 2, . .. ,N-1), is give...
shown that the discrete Pourier transform(DFT) of a time-varying process h(4) for (k = 0, 1, 2, . .. ,N-1), is given by N-1 Choosing N-8 carry out the Cooley-Tukey formulation of FFT by following the steps below. (a) Write the expressions for DFT H, in terms of hite) and the inverse DFT h(te) in terms of H, for N 8 (b) Define W-ca/N and rewrite (a) using W (c) Express (b) in matrix form. (d) Express n and k...
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
Compute the FFT for x(n)-3, -2,-1,0,1,2,3,4], compute using 4-point DFT blocks and decimation in time method (all details are required) (2 points)
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]
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...
5.25 LetX(eM) denote the DTFT of the length-9 sequence x[nl=[L -3, 4. -5, 7. -5. 4, -3. II (a) For the DFT sequence X1 k obtained by sampling X(em at uniform intervals of π/6 starting from ω 0, determine the IDFT x1(n) of X1[k] without computing X) and XiK]. Can you recover x In] from xilo (b) For the DFT sequence X|k] obtained by sampling X(e,") at uniform intervals of π/4 starting from ω ะ 0 determine the IDFT x2...
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].
-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] = {...
shown that the discrete Pourier transform(DFT) of a time-varying process h(4) for (k = 0, 1, 2, . .. ,N-1), is given by N-1 Choosing N-8 carry out the Cooley-Tukey formulation of FFT by following the steps below. (a) Write the expressions for DFT H, in terms of hite) and the inverse DFT h(te) in terms of H, for N 8 (b) Define W-ca/N and rewrite (a) using W (c) Express (b) in matrix form. (d) Express n and k...
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