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Problem 3: LCCDE Chapter 2 in the Lecture Notes, Question 7. 7. Given the following transfer...
7. A causal LTI system has a transfer function given by H (z) = -1 (1 4 The input to the system is x[n] = (0.5)"u[n] + u[-n-1] ) Find the impulse response of the system b) Determine the difference equation that describes the system. c) Find the output y[n]. d) Is the system stable?
problem 7 Problem-4 [10 Points] Find the Laplace transforms of the functions in Figure. 2 Figure. 2: Triangular Function Problem-5 [10 Pointsl A system has the transfer function h(s) = (s1)(s +2) a) Find the impulse response of the system b) Determine the output y(t), given that the input is x(t) u(t) Problem-6 [10 Pointsl Use the Laplace transform to solve the differential equation +22+10v(t) 3 cos(2t) dt2 dt subject to v(0)-1, dv(O) Problem-7 [10 Points] Solve the integrodifferential equation...
Problem 5: (20=10+5+5 points) Consider a causal system with the following transfer function (the z-transform) 2 +42-2 H2) = 1 - 52-1 +6 1-52-1 +62- 2 2 < 121 <3. (a) Find the inverse z-transform of H(2). (b) Find the difference equation with input-output relation for this system. (c) Draw the diagram of realization (in form II) for this system.
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...
can you please post the answer thanks FE yIn] x[n] -2 3. Given the causal LTI system with signal flow graph as shown (a) Determine the system function H(z) (5) (b) Determine the minimum multiply linear constant coefficient /O difference equation relating y[n] with x[n]. (10) EENG751 5/13/2019 FE yIn] x[n] -2 3. Given the causal LTI system with signal flow graph as shown (a) Determine the system function H(z) (5) (b) Determine the minimum multiply linear constant coefficient /O...
Answer Questions 7 through 13 using the diagram below. 7. Open Loop Transfer Function 8. Closed Loop Transfer Function 9. Characteristic Equation 10. Damping Factor 11. Natural Frequency in rad/sec 12. Is the system over-, under-, or critically-damped?_ 13. What is the Error Coefficient and Steady-State error of the system? Error Coefficient Steady-State error h=0.25 14. Given the following parameters for a position control system: Step input of 2 radians; Kp = 4, Ka = 20, Km = 8, h...
FE In] -1 -1 3. Given the causal LTI system with signal flow graph as shown: (a) Determine the system function H(z) (5) (b) Determine the minimum multiply linear constant coefficient 1/O difference equation relating [n] with x[/n]. (10) FE-4 EENG751 5/13/2019 FE In] -1 -1 3. Given the causal LTI system with signal flow graph as shown: (a) Determine the system function H(z) (5) (b) Determine the minimum multiply linear constant coefficient 1/O difference equation relating [n] with x[/n]....
ECE 2713 Homework 6 Spring 2019 Dr. Havlicek 1. Text problem P-7.3. (the problem is shown on page 3) 2. Text problem P.7.8, parts (a), (b), and (d) only. (the problem is shown on page 3) 3. A discrete-time ITI system H has input rjnl and output vinl related by the linear constant coefficient difference equation (a) Find the transfer function H(z) a n find thefunctionalform of H(s) Note: yo but in this part you do not yet have enough...
Question 1. Substitution of given form of solution and hyperbolic functions. Question 1. Substitution of given form of solution and hyperbolic functions. The non-linear ordinary differential equation describing the smooth shape of a structural arch of constant thickness in mechanical equilibrium under its own weight per unit length w, and a horizontal compressive force T, is Here k = is a known constant and y(x) is the vertical height of the arch at position x, the horizontal distance from a...
2-If X1(z)Find the Z-Transform of X2[x]-X, ln +3]u[n] Find theZ-Transform of X211 ( I-hind the Inverse Z-transform of given function. a) R(Z) =- (1-e") (-(z-e-ar) 3 +282+8-1 b) F (Z) = (2-2)2(2+2) Find the Z-Transform of X2 [x] = X1 [n + 3] u [n] 3- Solve the difference equation 3 4 With initial conditions y-1] 1 and yl-2] 3 4- Let the step response of a linear, time-invariant, causal system be 72 3) ulnl 15 3 a) Find the...