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Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of...
Let x[n] be infinite-duration sequence with DTFT of 2n X(e'"), Xi[n] is an N-point finite-duratio...
Let x[n] be infinite-duration sequence with DTFT of 2n X(e'"), Xi[n] is an N-point finite-duration sequence whose DFT X,(e N ) was obtained by sampling X(eW) at N equally spaced points on the unit circle. Determine xl[n] in terms of x[n]
Let x[n] be infinite-duration sequence with DTFT of 2n X(e'"), Xi[n] is an N-point finite-duration sequence whose DFT X,(e N ) was obtained by sampling X(eW) at N equally spaced points on the unit circle. Determine xl[n] in terms...
8.32. Considera finite-duration sequence x[n] of length P such that xlnj=Ofor n <0andn> P. We want...
8.32. Considera finite-duration sequence x[n] of length P such that xlnj=Ofor n <0andn> P. We want to compute samples of the Fourier transform at the N equally spaced frequencies 2nk Determine and justify procedures for computing the N samples of the Fourier transform using only one N-point DFT for the following two cases: (a) N > /P (b) N < P
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5...
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples from X(eu): g[n] CH 0 for n<0and n > 4 = x(e,2 ) for k = 0, 1, 2,3,4 = Find g(0] and gl1].
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples...
I Need Help with 4,6,8,10,15,18 Problems 123 If f(n) is a periodic sequence with period 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...
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...
The DFT is a sampled version of the DTFT of a finite-length sequence; i.e., N-1 (P9.25-1)...
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...
(1)x() = 0; forn > U, (20 > 1, ( m my (e) = sinw -...
(1)x() = 0; forn > U, (20 > 1, ( m my (e) = sinw - sin 2w V) 2 *- |X (ejw)/2dw = 3. 9. Consider a finite duration sequence x(n) = {0, 1,2,3}. Sketch the sequence s(n) with six-point DFT S(I) = W X (k), k = 0,1,2,..,6. Determine the sequence y(n) with six-point DFT Y(K) = ReX(10). Determine the sequence v(n) with six-point DFT V(k) = Im X(k): (5 marks) OR
9. Consider a 20-point finite-duration sequence x[n] such that xfn]-0 outside 0 snSI (a) Ifit is...
9. Consider a 20-point finite-duration sequence x[n] such that xfn]-0 outside 0 snSI (a) Ifit is desired to evaluate X(e/o) at o 4x/S by computing one M-point DFT point DFT dete the smallest possible M, and develop a method to obtain X(eo) at 4x smallest M.
Consider a finite length DT sequence of length N -16 described below. 1, 0<n< 2 Use...
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
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform ...
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First write the x[n] showed above as two pulse functions then take the DTFT using the equation given below Express discrete Fourier transform (DFT) of x[n] using DTFT X(Q). a. b.
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First...
Let x[n] be infinite-duration sequence with DTFT of 2n X(e'"), Xi[n] is an N-point finite-duration sequence whose DFT X,(e N ) was obtained by sampling X(eW) at N equally spaced points on the unit circle. Determine xl[n] in terms of x[n]
Let x[n] be infinite-duration sequence with DTFT of 2n X(e'"), Xi[n] is an N-point finite-duration sequence whose DFT X,(e N ) was obtained by sampling X(eW) at N equally spaced points on the unit circle. Determine xl[n] in terms...
8.32. Considera finite-duration sequence x[n] of length P such that xlnj=Ofor n <0andn> P. We want to compute samples of the Fourier transform at the N equally spaced frequencies 2nk Determine and justify procedures for computing the N samples of the Fourier transform using only one N-point DFT for the following two cases: (a) N > /P (b) N < P
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples from X(eu): g[n] CH 0 for n<0and n > 4 = x(e,2 ) for k = 0, 1, 2,3,4 = Find g(0] and gl1].
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples...
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...
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...
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...
(1)x() = 0; forn > U, (20 > 1, ( m my (e) = sinw - sin 2w V) 2 *- |X (ejw)/2dw = 3. 9. Consider a finite duration sequence x(n) = {0, 1,2,3}. Sketch the sequence s(n) with six-point DFT S(I) = W X (k), k = 0,1,2,..,6. Determine the sequence y(n) with six-point DFT Y(K) = ReX(10). Determine the sequence v(n) with six-point DFT V(k) = Im X(k): (5 marks) OR
9. Consider a 20-point finite-duration sequence x[n] such that xfn]-0 outside 0 snSI (a) Ifit is desired to evaluate X(e/o) at o 4x/S by computing one M-point DFT point DFT dete the smallest possible M, and develop a method to obtain X(eo) at 4x smallest M.
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
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First write the x[n] showed above as two pulse functions then take the DTFT using the equation given below Express discrete Fourier transform (DFT) of x[n] using DTFT X(Q). a. b.
Consider the discrete time signal x[n]: 13 -5 10 2.5 Compute the discrete time Fourier transform (DTFT) X (A). Find the period ofX(Q). Hint: First...
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