एक संदेश संकेत m(t) = cos(2πfmt) और वाहक आवृत्ति fc के लिए निम्नलिखित में से कौन सा एक SSB संकेत को निरूपित करता है?

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KVS TGT WET (Work Experience Teacher) 23 Dec 2018 Official Paper
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  1. cos(2πfmt) cos(2πfct)
  2. cos(2πfct)
  3. cos[2π(fc + fm)t]
  4. 1 + cos(2πfmt) cos(2πfct)

Answer (Detailed Solution Below)

Option 3 : cos[2π(fc + fm)t]
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Detailed Solution

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 \(\rm SSB\) के लिए, सामान्य समीकरण निम्न है,

\(\rm {X_{SSB}}\left( t \right) = m\left( t \right)\cos {\omega _c}t \pm \hat m\left( t \right)\sin {\omega _c}t\)

\(\rm \;m\left( t \right) = \cos \left( {2\pi {f_m}t} \right)\), के लिए

हमें निम्न प्राप्त होता है,

\(\rm {X_{SSB}}\left( t \right) = \cos \left( {2\pi {f_m}t} \right)cos{\omega _c}t \pm \sin \left( {2\pi {f_m}t} \right)\sin {\omega _c}t \\ \ \ \ \ \ \ \ \ \ \ \ \ \ = {\rm{cos}}\left[ {2\pi \left( {{f_c} + {f_m}} \right)t} \right]\)

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