C=B log2(1+SNR) is the maximum error-free data rate.
C=B log₂(1+S/N) bits/s is the maximum error-free rate on a noisy Gaussian channel. Increase capacity with more bandwidth or power (logarithmically). Below Eb/N0 of -1.6 dB no reliable communication is possible. Coding schemes approach but cannot exceed capacity.
A 1 MHz channel with 20 dB SNR can carry about 6.66 Mbit/s.
Shannon capacity sets the maximum error-free data rate for a channel, so it is the benchmark for every communication design.
C=B log2(1+SNR) is the maximum error-free data rate.
Shannon capacity sets the maximum error-free data rate for a channel, so it is the benchmark for every communication design.
C equals B times log base two of one plus the signal-to-noise ratio, where B is the bandwidth in hertz.
No, not with error-free communication. Practical systems approach it using good coding and modulation.
Typical applications include estimating the maximum data rate of a 1 MHz channel with 20 dB SNR, comparing a modem's rate with the theoretical limit and deciding whether a proposed link can carry a video stream at a given bandwidth.
Study "Bandwidth and noise in comms" first (topic 77 of 101 in Signals, Control & Comms). It covers the groundwork this topic builds on.
Spectral efficiency bits/s/Hz. Shannon limit. Channel coding theorem.
A 1 MHz channel with 20 dB SNR can carry about 6.66 Mbit/s.
The next topic is "Sampling and PCM", which builds directly on this one.
It is classed as Advanced in Signals, Control & Comms (topic 78 of 101). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Signals, Control & Comms.
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