Shannon’s Channel Capacity Theorem:
\[
C = B \cdot \log_2(1 + \frac{S}{N})
\]
\( C \): Channel capacity
\( B \): Bandwidth
\( \frac{S}{N} \): Signal-to-noise ratio
This theorem implies that to achieve reliable communication (low error probability), appropriate channel coding is essential. Channel coding introduces redundancy to detect/correct errors during transmission.