Question

You are to design a filter to process a received signal. All frequencies below \(1 \mathrm{kHz}\) must be attenuated by at least \(10 \mathrm{~dB}\). The frequency component at \(12 \mathrm{kHz}\) must be boosted with \(6 \mathrm{~dB}\) of gain. The signals in a band of \(4 \mathrm{kHz}\) centered at \(12 \mathrm{kHz}\) must have at least \(2 \mathrm{~d} \mathrm{~B}\) of gain. All other frequencies should be passed with \(0 \mathrm{~dB}\) of gain. The highest frequency of interest (the highest frequency signal that will come into the system) is \(300 \mathrm{kH} z\). Your design may oonsist of a cascade of multiple filters.