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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...
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
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...
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].
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
It is suggested that if you have an FFT subroutine for computing a length-N DFT, the...
It is suggested that if you have an FFT subroutine for computing a length-N DFT, the inverse DFT of an N-point sequence X[k] can be implemented using this subroutine as follows: 1. Swap the real and imaginary parts of each DFT coefficient X[k]. 2. Apply the FFT routine to this input sequence. 3. Swap the real and imaginary parts of the output sequence. 4. Scale the resulting sequence by 1/N to obtain the sequence x[n], corresponding to the inverse DFT...
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...
Problem 3 20 points Let f[n]- 1,2,1,0 Use MATLAB to compute the DFT F[k] and turn in the some com...
Problem 3 20 points Let f[n]- 1,2,1,0 Use MATLAB to compute the DFT F[k] and turn in the some comments and inclilcle the answer % Compute DFT from FFT x-[1 2 1 0] N-length(x) F-fft(x,N)
Problem 3 20 points Let f[n]- 1,2,1,0 Use MATLAB to compute the DFT F[k] and turn in the some comments and inclilcle the answer % Compute DFT from FFT x-[1 2 1 0] N-length(x) F-fft(x,N)
Draw the flow graph of a 4-pt FFT decimation in time. Also, complete the table shown...
Draw the flow graph of a 4-pt FFT decimation in time.
Also, complete the table shown below for the given x[n]. Note that
are the 2−pt DFTs, and X[k] is a 4−pt DFT. x[n]={1 0 -1 1} for
n=0, 1, 2, 3
Gk, i = 1,2 1 | x[n] | G[k] | X[k] I k
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];
The DFT is a sampled version of the DTFT of a finite-length sequence; i.e., N-1 (P9.25-1) Furthermore, an FFT algorithm...
The DFT is a sampled version of the DTFT of a finite-length sequence; i.e., N-1 (P9.25-1) Furthermore, an FFT algorithm is an efficient way to compute the values X Now consider a finite-length sequence xin] whose length is N samples.We want to evaluate X(z) the z-transform of the finite-length sequence, at the following points in the z-plane where ris a positive number. We have available an FFT algorithm (a) Plot the points z in the z-plane for the case N-8...
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]
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
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].
It is suggested that if you have an FFT subroutine for computing a length-N DFT, the inverse DFT of an N-point sequence X[k] can be implemented using this subroutine as follows: 1. Swap the real and imaginary parts of each DFT coefficient X[k]. 2. Apply the FFT routine to this input sequence. 3. Swap the real and imaginary parts of the output sequence. 4. Scale the resulting sequence by 1/N to obtain the sequence x[n], corresponding to the inverse DFT...
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...
Problem 3 20 points Let f[n]- 1,2,1,0 Use MATLAB to compute the DFT F[k] and turn in the some comments and inclilcle the answer % Compute DFT from FFT x-[1 2 1 0] N-length(x) F-fft(x,N)
Problem 3 20 points Let f[n]- 1,2,1,0 Use MATLAB to compute the DFT F[k] and turn in the some comments and inclilcle the answer % Compute DFT from FFT x-[1 2 1 0] N-length(x) F-fft(x,N)
Draw the flow graph of a 4-pt FFT decimation in time.
Also, complete the table shown below for the given x[n]. Note that
are the 2−pt DFTs, and X[k] is a 4−pt DFT. x[n]={1 0 -1 1} for
n=0, 1, 2, 3
Gk, i = 1,2 1 | x[n] | G[k] | X[k] I k
The DFT is a sampled version of the DTFT of a finite-length sequence; i.e., N-1 (P9.25-1) Furthermore, an FFT algorithm is an efficient way to compute the values X Now consider a finite-length sequence xin] whose length is N samples.We want to evaluate X(z) the z-transform of the finite-length sequence, at the following points in the z-plane where ris a positive number. We have available an FFT algorithm (a) Plot the points z in the z-plane for the case N-8...
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]
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