GS&EI ElectEngg 14 2024 1601-2025 For an envelope detector to properly demodulate an AM signal, the time constant (RC) of the detector circuit must be chosen such that it is much smaller than the reciprocal of the highest modulating frequency ($RC \ll 1/f_{m,max}$) and much larger than the reciprocal of the carrier frequency ($RC \gg 1/f_c$).
A message signal $m(t) = \cos 2000 \pi t + 4 \cos 4000 \pi t$ modulates the carrier $c(t) = \cos 2\pi f_c t$ where $f_c = 1$ MHz to produce an AM signal. For demodulating the generated AM signal, using an envelope detector, the time constant RC of the detector circuit should satisfy A) $0 \cdot 5$ ms $< RC < 1$ ms B) $1$ $ \mu$s $<<$ $RC < 0 \cdot 5$ ms C) $RC << 1$ $ \mu$s D) $RC >> 0 \cdot 5$ ms
Asked in GS&EI ElectEngg 14 2024 1601 2025 · Topic: Data Communication and Transmission Modes (Analog and Digital Transmission)
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Answer: B. $1$ $\mu$s $<<$ $RC < 0 \cdot 5$ ms
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