Suppose that: H(z) = (z^2 − 1)(z ^2 − 2z + 5) / (25z^2 + 25z + 6) is the transfer/system function of a DT LTI system. Assuming that the impulse response h[n] is right-sided, draw the pole-zero diagram, including the ROC. Find an appropriate partial fractions expansion for inverting the z-transform and use the tables of z-transform properties and pairs to find the impulse response h[n], assuming h[n] is right-sided.
Suppose that:
H(z) = (z^2 − 1)(z ^2 − 2z + 5) / (25z^2 + 25z + 6)
is the transfer/system function of a DT LTI system.
Assuming that the impulse response h[n] is right-sided, draw the pole-zero diagram, including the ROC.
Find an appropriate partial fractions expansion for inverting the z-transform and use the tables of z-transform properties and pairs to find the impulse response h[n], assuming h[n] is right-sided.
Thank you for the help on this problem. I got poles at -3/5 and -2/5 and zeros at 1, 1+- j2 I'm not sure that is right and I'm not exactly sure if my pole diagram is correct. for the partial fractions and invert z transfom i got 3/5e^-30 and 2/5e^-20 u(n). I 'm not exactly sure all this is right though and was hoping for a second opinion.
Thanks again for your time and energy.
Step by step
Solved in 5 steps with 9 images
