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What is the output from the second stage lattice filter when two single stage lattice filers are cascaded with an input of x(n)?

What is the output from the second stage lattice filter when two single stage lattice filers are cascaded with an input of x(n)? Correct Answer x(n)+K1(1+K2)x(n-1)+K2x(n-2)

When two single stage lattice filters are cascaded, then the output from the first filter is given by the equation f1(n)= x(n)+K1x(n-1) g1(n)=K1x(n)+x(n-1) The output from the second filter is obtained as f2(n)=f1(n)+K2g1(n-1) =x(n)+K2+ K1x(n-1) = x(n)+K1(1+K2)x(n-1)+K2x(n-2).

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