Find the system function H(z), of the IIR filter......?

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XanX

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Given an IIR filter defined by the following difference equation
y(n) = 0.5y(n − 1) − .3x(n) + .2x(n − 1) + .5x(n − 2)
Find the system function H(z) of the filter.

Also if anyone knows how to implement this in matlab, it would be greatly appreciated, I know its filtfilt() ...
 
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