Bandwidth Efficiency Diagram is a plot of bandwidth efficiency \(\frac{R_b}{B}\) against signal energy-per-bit to noise power spectral density ratio \(\frac{E_b}{N_0}\) derived from #Channel Capacity Theorem.
Bandwidth Efficiency Diagram
- TIT3131 Chapter 2: Channel Capacity and Coding
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Channel Capacity Theorem
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.