Consider an LTI discrete-time system that has impulse response h n Tn-12) 1 if otherwise a) Deter...
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,...
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]....
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).
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...
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...
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] =
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)).
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...
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
Consider the cascade of LTI discrete-time systems shown in Figure P2.37. LTI System 1 hi[n], H (el) LTI System 2 h2[n], H2(eje) Figure P2.37 The first system is described by the frequency response Hi(j =c-joo < 0.25% 11 0.25% < and the second system is described by <A hain) = 2 Sin(0.57) (a) Determine an equation that defines the frequency response, H(e)®), of the overall system over the range -- SUSA. (b) Sketch the magnitude. He"), and the phase, ZH(e)),...