4. Block Diagrams (a) Consider a causal LTI system with transfer function H(s)2 Show the direct-form block diagram of Hi(s) (b) Consider a causal LTI system with transfer function 2s2 +4s -6 H(s)- Sh...
4. Block Diagrams (a) Consider a causal LTI system with transfer function Show the direct-form block diagram of Hi(s) b) Consider a causal LTI system with transfer function H282+4s -6 H (s) = 2 Show the direct-form block diagram of Hi(s) (c) Now observe that to draw a block diagram as a cascaded combination of two 1st order subsystems. (d) Finally, use partial fraction expansion to express this system as a sum of individual poles and observe that you can...
Consider an LTI system for which the system (transfer) function H(s) has a zero at s=2 and poles at s=-12, -7, -6. If the system is known to be causal and stable, choose the ROC associated with the given system function. *
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...
2. Consider the causal LTI system in which the input x(t) and output y(t) are related through the following block diagram respresentation: x(t) y(t) + 1/s # 7 -5 1/s 10 6 a. Find the system function. (2.5 points). b. Determine the differential equation relating y(t) and x(t). (2.5 points). c. Show that this system can be realized as a cascade interconnection of four first order subsystems. Give the system function for each subsystem, and sketch the block diagram of...
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...
р Question 3 Consider the transfer function, H(s), of a non-causal LTI system H(S) = s+2 (8+3)(82 +8+5) (82–8+5) 1. Determine ROC for H(s) = = = xx, E P T
= 2s +1 Consider the continuous-time LTI causal system with Transfer function H(s) $? + 5s +6' a) Compute the ROC for H(s). (3 pts) b) Discuss the BIBO stability of the system. (2pts) c) Compute the system output when the input is x(t) = 8(t) (Dirac's delta). (5 pts)
Solve the following using MATLAB: 3. Consider the transfer function: H S ) = 6 2s2 + 6s 2s4 + 8 s +3 .4 L + 3 a) Write lines of code to find the zeros and poles of the above transfer function. b) Write lines of code to find a partial fraction expansion of the above transfer function.
please show steps 4. (25 points) Laplace and LCCDE Systems Consider an LTI system with input-output relation described by the LCCDE: -2y(t) - y0) + 3x(t) + deco (O) = (a) (5 pts) Find the transfer function H(s) and write it in factored form. (b) (5 pt) Sketch the ROC corresponding to H(s) if it is known the system is causal. Mark the poles and zeros. (c) (5 pts) Sketch the ROC corresponding to H(s) if it is known the...
How to draw a block diagram from transfer function y(s)/x(s) = (4s^2 + 1)/(s + 4)