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
$$
\begin{aligned}
& K_1=22921, \\
& K_2=-7504 .
\end{aligned}
$$
Use the Matlab script sampdata, provided in Appendix A.1, to obtain an input sample. Use the Matlab script fscale, provided in Appendix D.1, to scale the input sequence to 16 bits.