This problem involves the statistical analysis of roundoff errors for an IIR second order section. Fig. 6.5 gives a block diagram for a second order FIR filter that has been implemented as two FIR lattice sections. Fig. 6.6 gives a block diagram for the same filter showing the input errors $\left(e_0(n)\right.$ to $\left.e_3(n)\right)$ associated with roundoff errors. The outputs from the adders are rounded from 32 bits by multiplying the adder output by $2^{-16}$ and truncating toward zero. The scaled coefficients are given by
$$
\begin{aligned}
& K_1=22921, \\
& K_2=-7504 .
\end{aligned}
$$
Write a Matlab script to obtain the output sequence with the output from the adders multiplied by 2?16 but the results left in a floating point number (no rounding).
This will be used as the output without error. Note that this experiment does not consider any errors due to scaling the K parameters.