Calculate the frequency response of the system at 25 hz

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1) Given the transfer function shown below, convert it into a difference equation.  z^2-0.7071z/z^2-1.41z+1

2. The impulse response of a discrete time system is given by h(n) = [ 1 -1 2 ].

To such a system we apply an input of the type x(n) = [ 2 1 2 3 ].

3. A system is described by the transfer function below. H(z) = (z^2+0.64)/(z^2+1.8z+1.28)

Find the location of poles and zeros of the system and write them here. Is this a stable system? Why or why not?

4. The transfer function of a discrete time system is given by H H(z) = z/(z-0.5)

The system has a sampling rate of 100 Hz. Calculate the frequency response of the system at 25 Hz input frequency as a complex number in both rectangular and polar form.

Reference no: EM13249458

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