![Required information Consider the following sequence of data (x[O], @[1], «[2], x[3]) = (3,4,1, -2) Without using a computer,](http://img.homeworklib.com/questions/df9adcb0-b718-11eb-9b83-affa3c9c53af.png?x-oss-process=image/resize,w_560)
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![Given sequence (2(0), 8(i), a (2), (3)) = (3,4,7,-2) DFT Alt ja kan X[k] - E a[n]eºn N=4 g kn NI no XTK) : 23023E1 n=0 eted a](http://img.homeworklib.com/questions/e0377ca0-b718-11eb-945a-272a8ba6fefb.png?x-oss-process=image/resize,w_560)
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Required information Consider the following sequence of data (x[O], @[1], «[2], x[3]) = (3,4,1, -2) Without...
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of...
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given by 10 equally-spaced samples of X(e). Determine y[n]. Hint: N-point DFT of a sequence w[n] = 2-n (u[n]-u[n-N]) is W [k] = 1-22 1wk
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given...
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...
(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
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].
PROBLEM 1: Let xfn], O < n 3 N-1 be a length-N sequence with an N-point...
PROBLEM 1: Let xfn], O < n 3 N-1 be a length-N sequence with an N-point DFT X[k], 0 k N-1. Determine the N-point DFT's of the following length-N sequences in terms of X[k]: (a) w[n] = az[M-m1〉N] + β (n-m2)N], where m 1 and m 2 are positive integers less than N. (b) g[n] ={z[n] for n even for odd
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
[20 total pts) Consider the sequences x1n] = { 1, 2,-2, 1}, and x2 [n] =...
[20 total pts) Consider the sequences x1n] = { 1, 2,-2, 1}, and x2 [n] = { 1, 2,-2, 1, 0, 0, 0, 0). The sequence x2In] is known as a zero-padded version of x,[n]. When answering the questions below, please use Table 1, provided on Page 3. a. [3 pts] Compute X1(eo), the Discrete-Time Fourier Transform (DTFT) of x1 [n], and evaluate it for the following values of normalized frequency: a-63 笎哮,쯤뀨 write the values in the table b....
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 sequence of x[n] of length x[n] is given as follows: X[0] = 2 X[1]...
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
2) Construct a divergent sequence an} such that {a2n} converges and {an} without using 1 or...
2) Construct a divergent sequence an} such that {a2n} converges and {an} without using 1 or -1 for any term. For questions 3 - 6, consider f(x) = ) (-1)+1(x - 5) n5 ” Find the interval of convergence for 3) f(x) 4) f'(x) 5) f"(x) 6) [f(x) dx
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given by 10 equally-spaced samples of X(e). Determine y[n]. Hint: N-point DFT of a sequence w[n] = 2-n (u[n]-u[n-N]) is W [k] = 1-22 1wk
Consider a sequence xln] 2-"uln], with its DTFT given by xlet y[n] be a finite-duration signal of length 10. Suppose the 10-point DFT, Y[k], of y[n] is given...
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...
(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
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 1: Let xfn], O < n 3 N-1 be a length-N sequence with an N-point DFT X[k], 0 k N-1. Determine the N-point DFT's of the following length-N sequences in terms of X[k]: (a) w[n] = az[M-m1〉N] + β (n-m2)N], where m 1 and m 2 are positive integers less than N. (b) g[n] ={z[n] for n even for odd
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
[20 total pts) Consider the sequences x1n] = { 1, 2,-2, 1}, and x2 [n] = { 1, 2,-2, 1, 0, 0, 0, 0). The sequence x2In] is known as a zero-padded version of x,[n]. When answering the questions below, please use Table 1, provided on Page 3. a. [3 pts] Compute X1(eo), the Discrete-Time Fourier Transform (DTFT) of x1 [n], and evaluate it for the following values of normalized frequency: a-63 笎哮,쯤뀨 write the values in the table b....
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...
2) Construct a divergent sequence an} such that {a2n} converges and {an} without using 1 or -1 for any term. For questions 3 - 6, consider f(x) = ) (-1)+1(x - 5) n5 ” Find the interval of convergence for 3) f(x) 4) f'(x) 5) f"(x) 6) [f(x) dx
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