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A communication channel with additive white Gaussian nose, has a bandwidth of 4 kHz and SNR of 15. Its channel capacity is1. 1.6 kbps2. 16 kbps3. 32 kbps4. 256 kbps

Answer» Correct Answer - Option 2 : 16 kbps

Channel capacity, \({\rm{C}} = {\rm{B}}{\log _2}\left( {1 + {\rm{SNR}}} \right)\;bits/sec\)

\(\begin{array}{l}\Rightarrow {\rm{C}} = 4{\log _2}\left( {1 + 15} \right){\rm{kbits}}/{\rm{sec}}\\\Rightarrow {\rm{C}} = 16{\rm{\;kbps}}\end{array}\)



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