Solution to Q3 of Week 10 Quiz Pool
<work in progress>
It is important to note that systems g1 and g2 are Length-2 FIR filters, these filters are of the form –
$ \begin{align} g1[n] &= a1*\delta[n] + b1*\delta[n-1] \\ g2[n] &= a2*\delta[n] + b2*\delta[n-1]\\ \\ \text{Given:} \\ g1[0] &= a1 = (1/2) \\ \\ \text{To Find:} \\ g1[1] &= b1 \\ g2[0] &= a2 \\ g2[1] &= b2 \\ \end{align} $
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