please provide a complete solution with the correct answer.
Let the following causal system be initially at rest, and let h[n] be the impulse response, with ...
please provide a complete solution with the correct answer. Let the following causal system be initially at rest, and let hin] be the impulse response, with z- transform H(z) 2z+3 x[n] y[n] A. 17. The filter coefficient A in the block diagram above is A a)-1/2 b) 0 c)112 d 213 e) none above
Please solve the following with full steps. 2. Given the following z-transform of the impulse response h [n], of a causal LTI system Ti H1 (z) = (,-1)(z-0.5) (a) Find hin (b) Verify the first three non-zero values of hi[n] using long division. (c) Find the z transform Hs(z) of hs[n]-2"hi[n], and specify the ROC. (d) Find thez transform H4() of han+n -1], and specify the ROC. e) Find the impulse response, hs[n], of the system Ts, which is the...
Problem 3.6 i) Compute the causal impulse response, h, and the anti-causal impulse response, h, for the system described by the input-output differential equation (D? + 9)y = (2D + 1)u. ii) Show that the anti-causal impulse response has a significant physical meaning: It is the autonomous output of a system that can be stopped (i.e. made equal to zero) by applying a Dirac-impulse 8(t) at the input. iii) How would an arbitrary solution in Sol (D2 +9), the set...
Let the impulse response of a causal system be h(n) = -0.75h(n-1) +δ(n) (a) (5 points) What are the impulse response filter coefficients? (b) Is the lter stable? Justify your answer. (c) Express y(n) in terms of an implementable combination of previous out-put values and input values and draw a picture of your filter
2. Linearity Consider a system given with the following impulse response: (5%) h[n] 4u[1 a) Is the system LTI? b) Is it causal? c) Is it stable? 2. Linearity Consider a system given with the following impulse response: (5%) h[n] 4u[1 a) Is the system LTI? b) Is it causal? c) Is it stable?
Problem 2: Find the impulse response h(n) of a causal LTI system if the input x(n) and the output y(n) are given as follows 72 42)un-1) y(n)-G)na(n) xnun)
4- Let the step response of a linear, time-invariant, causal system be (-1).uln] ylnl.ynl-ler uln].. 15 3 3 12 a) Find the transfer function H(Z) of this system b) Find the impulse response of the system. Is this system stable? c) Find the difference equation representation of this system. 4- Let the step response of a linear, time-invariant, causal system be (-1).uln] ylnl.ynl-ler uln].. 15 3 3 12 a) Find the transfer function H(Z) of this system b) Find the...
Determine the output response y[n] of a causal LTI digital system with an impulse response h[n]=2(0.2)n μ[n] for an input sequence x[n] = 4(0.3)n μ[n]
Problem 6 (20 pts) Suppose that the impulse response of a causal LTI system has a Laplace transform which is given by 5+1 H(3) and that the input to this system is x(t) = ell! $+ 25 +2 a) Determine the Laplace transform of the output y(t), along with its associated region of convergence. (12 pts) b) Determine the output y(t). (8 pts)
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...