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Consider an $\text{FM}$ broadcast that employs the pre-emphasis filter with frequency response

$$H_{pe}(\omega) = 1 + \frac{j \omega}{\omega_{0}},$$

where $\omega_{0} = 10^{4} \; \text{rad/sec}.$

For the network shown in the figure to act as a corresponding de-emphasis filter, the appropriate pair(s) of $(R,C)$ values is/are _____________.

  1. $R = 1 \; k \Omega, C = 0.1 \; \mu F$
  2. $R = 2 \; k \Omega, C = 1 \; \mu F$
  3. $R = 1 \; k \Omega, C = 2 \; \mu F$
  4. $R = 2 \; k \Omega, C = 0.5 \; \mu F$
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