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Transfer function: magnitude & phase of frequency response

xxblehxxbleh Posts: 1Member
i need to plot the magnitude and phase of the following equation:

first, the transfer function is:
H[z]=(2z^2+1.8z)/(z^2-z+.16)

the frequency response is basically z=exp(j*omega). thus,

H[omega]=(2exp(2j*omega)+1.8exp(j*omega))/(exp^2j*omega-exp(j*omega)+.16)

hopefully, you have an idea of how the equations look like. i need to figure out how to get the magnitude of that and the phase as well. it's a pretty ugly equation, and i've tried to simplify it by partial fractions, but it doesn't really help.

any idea?

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