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 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
12. Calculate the DFT of the following discrete-time signal with: x[0] = 1, x[1] = 2, x[2] =-3, x[3] = 0. The value of the DFT required for this question is X(1). (c) 4-j2, (d) not (a), not (b) and not (e). (6) 2-4, (a) 2 + j3, 13. Determine the finite length sequence, xfn] from the DFT sequence X[k]={10,15, 40,-5). Only the discrete-time signal value at x[0] is required for this question. (a) 6+j4 (b) 15, (c) 4+j4, (d)...
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....
Required Information Consider the figure shown. Solve by the double integration method. Elis constant. 2U/3 U3 X2 Xi Dertve the equations for slope and deflection for the beam, It has been determlned that the maximum defilection occurs at x such that the slope Is zero there. 0.544L Px2IE PL2IEL The equation for slope for the beam with x as origin Is 8[(Click to select)) EI-TClick to select) PL2xEL as orlgin Is A(Click to select) The equation for deflection for the...
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
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
matlap Question 1 1. Consider the following Matlab program 5 - (2 < 3) & (C2 > 3) 1 (1 - 0)) What is the final value of s? A. True B. *1 CO D. false 2- Which expression tests whether variable x is between (but not the same as) the values 5 and 10 (a) 5 <x< 10 (b) 5 <= x <= 10 (c) 5 < X & X > 10 (d) x < 10 & 5 <...