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Problem 2:
3. Realize the system from problem 2 using Direct Form II. + H(s) = s® + s2 +6s10 + 10
Realize H(s) by canonic direct, series, and parallel forms.
(8+1)2(+2)(8+3)
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)- 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 draw...
Problem #2 Given the system below: C(s) R(s) s2 (s1) s2 (s +3) (a) Determine the system type. (b) Calculate the steady-state error for an input of 5u(t). [0] (c) Calculate the steady-state error for an input of 5tu(t). [15] (d) Discuss the validity of your answers to part (b) and (c). HINT: Is the system stable?
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...
Please solve this question. Thank you.
7) Implement the following filter using direct form 2 realization. (6 Marks) 1 2z-1z-2 H(z0 1 0.1z-1 .07z-2-0.065z-3
7) Implement the following filter using direct form 2 realization. (6 Marks) 1 2z-1z-2 H(z0 1 0.1z-1 .07z-2-0.065z-3
3 +3 Consider the following TF G(s) - 13 l. Realize a state space(s)formulation using MATLAB. Then use Forward EueriFE) to compute the discrete SS for the system, choose Ts 0.1 Then find the TF of the discrete SS system description. Use FE directly on G(s) to arrive at a discrete TF, G(z). Realize the discrete TF in SS Are the two discrete TF from part 1 and 2 the same? What about the ss formulations? Comment on your observations....
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...
Need help With my Digital Signal Processing homework (Problem
2)
d. Realize the block diagram of the system in Direct Form I and Dir (Canonical Form) Question 2: Find the overal impulse response of following system? y1(n) a utn) u(n-1) X(n) yín) an u(n) 8(n-2) Y2(n) Question 3: A digital reverberation processor has frequency response: - 0.5 +eja8 H(@)
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
DC circuit with emf ? = 6.0 V and resis Problem #3 (3+2+2 SI ® ® » ZRb #3 (3+2+2+2=9 points) V and resistor R = 2.0 2 is placed in the form magnetic field pointing into the page as shown in the figure. At time t = 0 magnetic field begins to decrease uniformly from its original value of 9.5 T reaching the magnitude of 2.5 T at t = 90 ms. The circuit has dimensions a = 45...