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sin(r(n-18/6) r(n-18) n#18 if Consider an LTI discrete-time system that has impulse response h[n] = if...
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...
sin((n-16)/4) (n-16) Consider an LTI discrete-time system that has impulse respo 6)/4) if n #16 if otherwise a) Determine the magnitude H(12) and the phase response ZH(12) for –< 1 < . Enter 12 as “O” and enter the piecewise function |H(12) using the heaviside function. |H(12) = ZH(12) = b) Determine the output of the system, y[n], if the input is given by x[n] = S[n – 9] + cos( 72 ). Enter your answer in terms of h[n]....
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 an LTI system whose input x[n] and output y[n] are related by the difference equation y[n – 1] + 3 y[n] + $y[n + 1] = x[n]. Determine the three possible choices for the impulse response that makes this system 1) causal, 2) two-sided and 3) anti-causal. Then for each case, determine if the system is stable or not. Causality Impulse Response Stability Causal Unstable v two-sided Unstable anti-Causal Unstable y In your answers, enter z(n) for a discrete-time...
6) Consider a discrete-time LTI system with impulse response h[n] = response h[n] = ( 1) u[n]. Use Fourie transforms to determine the response of this system to the input x[n] = ml + un).
1. A discrete-time LTI system has the system function H(z) given below: H(2)1 2 (e) Determine the impulse response hin] associated with the stable system defined by this system function. (f) Make a careful sketch of the frequency response magnitude, i.е., IH(ew), of this system for lwl S T. Label your sketch! 1. A discrete-time LTI system has the system function H(z) given below: H(2)1 2 (e) Determine the impulse response hin] associated with the stable system defined by this...
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) + 4 sin(0.δώ)) H (ee) = e-j(1.5e-5) (cos( 1.5 ) +2 cos(0.54)) @ H (ee)-e-n1.si) (sin( 1.54) t. 2 sin(0.δώ)) (sin(l.50) +4sin(0.0) H (ee)-e-j(1.5i) (2 cos( 1.5ώ) + 4 cos(0.5a)) H (efo)-e-n1.5u) (cos( 1.50) + 2 cos(0.50)) https://rmitinstructure.comcoursesy 5 pts DQuestion 2 A system has the following...
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] =
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)
For the LTI system with the difference equation y[n] = 0.25x[n] +0.5x[n-1] + 0.25x[n-2] a. Find the impulse response h[n] (this is y[n] when x[n] = δ[n] ) b. Find the frequency response function H(?^?ω). Your result should be in the form of A(?^?θ(?) )[cos(αω)+β]. Specify values for A, ?(?), α,and β c. Evaluate H(?^?ω) for ω = π , π/2 , π/4, 0, -π/4, - π/2, -π d. Plot H(?^?ω) in magnitude and phase for –π < ω <...