For infinite bandwidth, the ratio \(\frac{E_b}{N_0}\) (from #Channel Capacity Theorem) approaches the limiting value which is called the Shannon’s Limit for an AWGN Channel:
$$ \left( \frac{E_b}{N_0} \right)_\infty = \lim_{B \rightarrow \infty} \left( \frac{E_b}{N_0} \right) $$
It is not possible to transmit at a rate higher than \(C\) bits per second by any encoding system without a definite probability of error. Thus, it defines the fundamental limit on the rate of error-free transmission for a power-limited, band-limited Gaussian channel. (an application of Channel Coding Theorem) From that, we could know the Shannon’s Limit# for an Additive White Gaussian Noise (AWGN) Channel if the bandwidth is infinite. A Bandwidth Efficiency Diagram# could be plotted utilising the equation’s characteristics.