Question
If a binary signal is sent over a $3-\mathrm{kHz}$ channel whose signal-to-noise ratio is $20 \mathrm{~dB}$, what is the maximum achievable data rate?
Step 1
First, we need to find the channel capacity using the Shannon-Hartley theorem, which states that the channel capacity C (in bits per second) is given by: C = B * log2(1 + SNR) where B is the channel bandwidth (in Hz) and SNR is the signal-to-noise ratio. Show more…
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