2. For two systems with impulse responses hi[n] (0.2) u[n] h2[n] - (0.8) ul-n - 1]...
5.44. The impulse responses of four linear-phase FIR filters hi[n], h2[n],h3[n], and h4n]are given below. Moreover, four magnitude response plots, A, B. C, and D, that potentially corre- spond to these impulse responses are shown in Figure P5.44. For each impulse response hi[n 1.....4, specify which of the four magnitude response plots, if any, corresponds to it. If none of the magnitude response plots matches a given hi[n, then specify "none as the answer for that hiIn] h1 [n] :...
Four systems have the following impulse responses. For each one sketch its impulse response, then draw its pole-zero plot and region of convergence. For each one also determine whether the system is causal and whether it is stable. (a) h1(t) e u(t) (b) h2(t) eu-t)
Q3) For the functions given in below, find the impulse responses h[n] and plot both h[n] and pole-zero map by using Matlab..(40 pts) +0.5 (z0.5)(22 z 0.5) 22 +0.25 (0.5) (22 3z 2.5) +0.5 (z 0.5)(22 1.4141z 1) 2 +2+0.5 (z 1I)(z 0.6) Q3) For the functions given in below, find the impulse responses h[n] and plot both h[n] and pole-zero map by using Matlab..(40 pts) +0.5 (z0.5)(22 z 0.5) 22 +0.25 (0.5) (22 3z 2.5) +0.5 (z 0.5)(22 1.4141z...
Problem 1. (10 points) The unit impulse responses of two linear time-invariant systems are hi(t) = 400me-200t u(t) h (t) = 4007e-200nt cos(20,000nt u(t). a) Find the magnitude responses of these systems. b) Determine the filter type and 3 dB cut-off frequency of the first system hi(t). c) How about the second system hz(t)?
3. (10 points) Two linear time invariant (LTI) systems with impulse response hi(k) and h2(k) are connected in cascade as shown in Figure 1. Let x(k) be the input, yı(k) be the output of the first LTI, and y2(k) be the output of the second LTI. Let hi(k) = k(0.7)k u(k), h2(k) = ku(k), and x(k) = (0.3)k u(k). Use z-transform to (a) find yı(k). (b) find y2(k). x(k) yi(k) y2(k) hi(k) h2(k)
Please include full steps and take clear pictures. 2. (Combining systems (30 Pts)] Hi and H2 be continuous-time LTI systems respectively with impulse responses hi and h2. (a) Provide the expression of Hi(r) (t) for all t using the impulse response h (5 Pts) (b) Provide the expression of H21r)(t) for all t using the impulse response h2 (5 Pts) (c)Let Hs be the serial connection of H1 and H2, i.e Draw a block diagram for the above equation 5...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
11-40) The impulse responses of two linear circuits are hi(t) = e-2'u(t) and hz(t) = 4e-4'u(t). What is the impulse response of a cascade connection of these two circuits? -
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. Determine if the LTI systems with impulse responses as given below are sta ble/unstable and causal/non-causal Note: u(t)/ ulnl represents unit-step. δ(1)/ δ[n] represents unit impulse. I. hl (t) = δ(t + 4)-5(5-t) 2. h2(l) e"cos(nt)u(-)