An amplitude-modulated radio signal consists of an (80 mathrm{~Hz}) to (12 mathrm{kHz}) audio signal superimposed on a

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An amplitude-modulated radio signal consists of an \(80 \mathrm{~Hz}\) to \(12 \mathrm{kHz}\) audio signal superimposed on a \(770 \mathrm{kHz}\) carrier signal. A low-pass filter is to be designed in which the gain in the passband is unity and the carrier signal is attenuated by at least \(-100 \mathrm{~dB}\). What order of filter is required?

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