Repeat Exercise 13.10 with the specifications below: [begin{aligned}A_{mathrm{p}} & =1.0 mathrm{~dB} A_{mathrm{r}} & =70 mathrm{~dB} omega_{mathrm{p}} &

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Repeat Exercise 13.10 with the specifications below:

\[\begin{aligned}A_{\mathrm{p}} & =1.0 \mathrm{~dB} \\A_{\mathrm{r}} & =70 \mathrm{~dB} \\\omega_{\mathrm{p}} & =0.025 \pi \mathrm{rad} / \mathrm{sample} \\\omega_{\mathrm{r}} & =0.04 \pi \mathrm{rad} / \mathrm{sample} .\end{aligned}\]

Exercise 13.10

Design an elliptic filter satisfying the specifications below:

\[\begin{aligned}A_{\mathrm{p}} & =0.4 \mathrm{~dB} \\A_{\mathrm{r}} & =50 \mathrm{~dB} \\\Omega_{\mathrm{r}_{1}} & =1000 \mathrm{rad} / \mathrm{s} \\\Omega_{\mathrm{p}_{1}} & =1150 \mathrm{rad} / \mathrm{s} \\\Omega_{\mathrm{p}_{2}} & =1250 \mathrm{rad} / \mathrm{s} \\\Omega_{\mathrm{r}_{2}} & =1400 \mathrm{rad} / \mathrm{s} \\\Omega_{\mathrm{s}} & =10000 \mathrm{rad} / \mathrm{s} .\end{aligned}\]

Realize the filter using:

(a) parallel direct-form sections;

(b) cascade of direct-form sections;

(c) cascade of optimal state-space sections;

(d) cascade of state-space sections without limit cycles.
The specifications must be satisfied when the coefficients are quantized in the range of 18 to 20 bits, including the sign bit.

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Digital Signal Processing System Analysis And Design

ISBN: 9780521887755

2nd Edition

Authors: Paulo S. R. Diniz, Eduardo A. B. Da Silva , Sergio L. Netto

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