Given a system with pole zero plot shown in Figure 4-37 and the fact that H(0)...
3. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im O--- Re (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim yết) = 5 , Find H(s). (d) (optional) Find y(2) (y(t) for t = 2).
(2) (10 points) Consider a causal LTI system which its zero-pole plot of H(z) is shown in Fig. 1 2. Suppose it is known that lim h[n]= 1) Determine the h[n] of the system. 2) Determine the difference equation of this system. jim (z) 3) Draw the the Block Diagram of this system. -1/3 Re (z) 2 Fig. 2
5. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim y(t) = 5 , 00 Find H(s).
4. 1 20 points). Consider a causal LTI system with a pole-zero plot for th the dfee equation H(2) as show below. The system is known to have a DC gain of 1. Find the difference equation for this system. Show all work. Z - plane 0.5 -0.5 0.5e 4. 1 20 points). Consider a causal LTI system with a pole-zero plot for th the dfee equation H(2) as show below. The system is known to have a DC gain...
4.27) For the following system: 1/4 x(n) a. Find A, b, g, d. b. Find H(z), and the pole/zero plot. c. Sketch H() 4.27) For the following system: 1/4 x(n) a. Find A, b, g, d. b. Find H(z), and the pole/zero plot. c. Sketch H()
I (K Pole-Zero Plot #1 Pole-Eero Plot 15 L. Pole-Zero Plot IMI 4z1 15 Prde-Zero Plot #5 Pole-Zero Plat #6 Tine Index (n) Problem P-10.20. Match a pole-zero plot (1-6) to each of the impulse response plots (J-N) shown above (Figure P-10.20 from p. 464) Note: Beach Board causes the magnitude Impulse Response Plot number order to be in random order Pole-Zero Plot #1 Pole-Zero Plot #2 Pole-Zero Plot #3 1, hin] Plot (N) hin] Plot (K) h[n] Plot (M)...
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...
Pole-zero plot of a 4" order system is shown below: note that there are no finite zeros. Which poles me be selected as dominant poles if a 20 order system approximation is considered, and what will be t resulting 24 order system's transfer function. Im j -10 Re -1 х j Lütfen birini seçin: 1 os=-10+j, s=-10-j, and s- +10s +101 1 Os=0, 5=-1, and s(s+1)(s? +10s +101) 1 os 0,5-1, and s(s+1) 1 OS=-10+, s=-1, and (s +1)(s +10-...
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...
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...