Nyquist Bit Rate (for noiseless channels)
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Definition: The Nyquist Bit Rate theorem determines the maximum bit rate for a noiseless channel, based on the channel’s bandwidth and the number of signal levels.
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Formula: Nyquist Bit Rate = 2×Bandwidth×log2(L), where L is the number of distinct signal levels used.
2×Bandwidth×log2(L)2 imes ext{Bandwidth} imes \log_2(L)
LL
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Interpretation: This theorem states that increasing the signal levels or the bandwidth can increase the data rate.
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Example: If the bandwidth of a noiseless channel is 3000 Hz and uses binary signaling (L = 2), the maximum bit rate is 2×3000×log2(2)=6000 bps.
2×3000×log2(2)=6000 bps2 imes 3000 imes \log_2(2) = 6000 ext{ bps}