Digital signal processing Please solve all parts 1. Find the transfer function i

Question

Digital signal processing Please solve all parts
1. Find the transfer function in z for the following syste 2. A digital filter is found to have an impulse response of h(nT)- (0.5, 0.75, 1.0, 0.5, 0, 0, 0, What will be the gain of a d c. signal input to this system? 3, Show that the impulse response of the following system produces the Fibonacci sequence: (1, 1, 2, 3, 5, 8, 4. Consider an ideal integrator. b Use the results of part a to find the z-transform for the transfer function for an ideal integrator.

Explanation / Answer

1. Transfer Function= T^(2)/(1-T-XT)

2. dc signal gain=0.5*dc input

3. y=yT+yT^(2)+u

Therefore, Impulse response will be Fabinacci series [1,1,2,3,5,8........]

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