T Im Re (0 3 1) Find the equivalent transfer function H (s). Remark: Since you're only given th...
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).
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).
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable? 2. The transfer function of a CT LTI system is given by H(s) (s2...
Question 1 For the circuit shown in figure 1; i. Find the transfer impedance function, H(s) = Vds(s) Find the poles and zeros for this transfer function and plot them on the s - Find the magnitude of the transfer function in decibels. [10] s-plane [8] ii [3] 2H 20 20 2 H Figure Question 2 The hybrid parameters (h-parameters) for the two -port network circuit in figure 2 are; 5 h=2 0.05 Find the equivalent impedance parameters (z-parameters) Find...
2. Consider the pole-zero plot of a transfer function H(s) given in Figure P14.2. (a) If the dc gain is -10, find HG). (b) Compute the impulse response. (c) Compute the step response. CHECK: Your answer to (b) should be the derivative of your answer to (c), since the delta function is the derivative of the step function. (d) If the input is 10 ), find the pos- itive number a such that the response does not have a term...
For each of the transfer functions given below, draw the pole-zero plot and plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done is correct. The work that will count for points...
1. Find the transfer function, G()for th following circuit V (s) 1 H
Determine the complex transfer function T(s) = V/V; for the circuit shown below. Specify it as a function of the complex frequency, s, and the symbols for the resistors and capacitor. On the attached graph, plot the magnitude of the complex transfer function T(jw) in decibels as a function of the frequency f of the source as f varies from 1 Hz to 1 MHz. Assume that the op amp is ideal. Use as the numerical values for the resistors...
**Using MATLAB** 0 t (s) -4 -3 -2 -1 -1 Entire an equivalent function for the plot shown here using the step function, u(t) 0 t (s) -4 -3 -2 -1 -1 Entire an equivalent function for the plot shown here using the step function, u(t)
only b and c please 1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...