1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(...
lig. 1 Problem 2) (20 points) A discrete-time signal x[n] is shown in Fig. 2. Sketch and label each of the following signals a) x[2n - 2] b) x[3n – 1] c) x[1 – n] d) x[-n - 1] x[n] -2 -1 0 1 2 1 4 n +-2 Fig. 2
3. Given the following discrete-time signal: x[n] = 0.21u[n + 1] + u[n] – 2e0.inu[n – 3] - (1 - 20.in)Pu[n - 5] a) Sketch xin starting at n = -2 and ending at n = 6.
Given a discrete time signal x(n), we consider the function (assuming this is convergent for our signal x(n)). Please show that H(w) is a periodic function in w, and without any other assumption, please tell me what the period is. Then, explain that if we are given H(w), how to recover x(n). (Notice that we defined H(w) above by a linear mapping of x(n), so this means to find the inverse linear mapping of H(w) that will give you x(n).)...
(a) Based on the following discrete-time signal x[n], [n] →n -2 -1 0 1 2 3 4 i. [5%] determine the Fourier transform (i.e., X(ein)) and sketch the magnitude spectrum. ii. [4%] Given the following signal Xp[n], which is the periodic version of x[n] with period 4. Derive the Fourier series coefficients of yn], i.e., {ax}. xp[n] -1 1 2 3 4 5 iii. [4%] Hence, derive the Fourier transform of ap[n], i.e., Xp(es"). iv. [5%] Based on the results...
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n] = x[n] + 2x[n - 1] + x[n - 3] where x[n] is the input signal and y[n] is the output signal. a) Find H[n] the impulse response of the filter. b) Plot the impulse response c) Find the value of H( Ω) for the following values of Ω = 0, pi, pi/2, and pi/4
A discrete signal x(n) is defined by ??(??) = {?? + 2 ; 0 ? ?? ? 4 2; 5 ? ?? ? 7 0; ????????????????? i. Plot the signal, ii. Obtain z transform X(z) for the signal x(n), iii. Determine the ROC for X(z).
Sketch the following discrete equations. Include 3 non-zero numeric values. n a) x(n) = (5) a(n) b) x(n) = (-+)" u(n) c) x(n) = (2)" u(-n-1)
10) A discrete-time signal is shown in Figure2. Sketch and label carefully the signal x[n]u[3 - n] -3 -2 -1 0 1 2 3 4 5 n
a causal discrete time LTI system is implemented using the difference equation y(n)-0.5y(n-1)=x(n)+x(n-1) where x(n) is the input signal and y(n) the output signal. Find and sketch the impulse response of the system
Problem 4.8 Sketch the FT representation X6(ja) of the discrete-time signal x(n) = sin(3mm/8) assuming that (a) T- 1/2, (b) T,-3/2. See Fia 4 19 Problem 4.8 Sketch the FT representation X6(ja) of the discrete-time signal x(n) = sin(3mm/8) assuming that (a) T- 1/2, (b) T,-3/2. See Fia 4 19