6) Consider a discrete-time LTI system with impulse response h[n] = response h[n] = ( 1)...
Consider a discrete-time LTI system with impulse response hn on-un-1), where jal < 1. Find the output y[n] of the system to the input x[n] = un +1].
Consider an LTI discrete-time system that has impulse response h n Tn-12) 1 if otherwise a) Determine the magnitude H(Q and the phase response LH(D for-r < Ω < π Enter Ω as "and enter the piecev se function Η Ω using the hea side function b)Determine the output of the system, rn, if the input is given by z n-Sn-9 +com( ) Enter your answer in terms of hin y[n] = In your answers, enter 2(n) for a discrete-time...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
Discrete-time convolution. Use of shift invariance for LTI systems. A discrete-time LTI system is described the its impulse response h[n]. h[n] = (5)"u[n]. n-3 1 An input x[n] = u[n – 4) is applied. The output of the system y[n] is given by: x[r] – 54 G)" ()") un 14 The correct answer is not provided gắn] = [16(5)” – 54(5) ] n] y[n] = [16()" – 54(+)"] uſn – 4
sin(r(n-18/6) r(n-18) n#18 if Consider an LTI discrete-time system that has impulse response h[n] = if otherwise a) Determine the magnitude lH(Q)I and the phase response LH(Q) for-r < Ω < π. Enter Ω as "O" and enter the piecewise function H(S2) using the heaviside function. IH(Q)| = LH(S2) = b) Determine the output of the system, y[n], if the input is given by x[n] = δ[n-71+ cos(쮜. Enter your answer in terms of h[n]. y[n] = In your answers,...
Consider a LTI system with impulse response h[n] = u[n]*a^n, where |a| < 1. a) Determine the frequency response of the system. b) Find the magnitude response and the phase response, given a = 1/2. No plots. c) Consider a LTI system whose impulse response h1[n] is a time-shifted version of h[n], i.e., h1[n] = h[n − n0]. Compute the frequency response H1(e^(jΩ)), and represent H1(e^(jΩ)) in terms of H(e^(jΩ)).
BC:9.4 A LTI discrete time system has an impulse response h[n] = (−0.6)nu[n] + (0.95)nu[n − 1] Find the transfer function, Hˆ (e jωˆ ), in the normalized frequency domain. Use Matlab to plot the magnitude and phase (in degrees) of Hˆ (e jωˆ ) in the range of −π ≤ ωˆ ≤ π. Attach your Matlab source code with the plots. BC:9.4 A LTI discrete time system has an impulse response h[n] = (-0.6)"u[n] + (0.95)"u[n-1] Find the transfer...
Consider a discrete-time LTI system with impulse response Sketch the magnitude of the frequency response of the system. Provide enough details in your sketch to convey the pattern. sin((2n/3)n hln h[n] =
BC:9.4 A LTI discrete time system has an impulse response h[n] = (-0.8)"u[n] + (0.65)"u[n-1] Find the transfer function, #(eo), in the normalized frequency domain. Use Matlab to plot the magni- tude and phase (in degrees) of H(eo) in the range of-? < ? < ?. Attach your Matlab source code with the plots. 1212 AM ^???4/4/2013
Problem 1 You are given the discrete-time LTI system with impulse response, Calculate the Fourier series coefficients of the output of this system when the input is x[n] = cos(n+π) Problem 1 You are given the discrete-time LTI system with impulse response, Calculate the Fourier series coefficients of the output of this system when the input is x[n] = cos(n+π)