A General Parameterization Quantifying Performance in Energy Detection

This letter presents a new look at the problem of energy detection with and without diversity schemes. The impact of channel fading and/or diversity scheme on the probability of missing detection is quantified and then the definition, sensing gain, is proposed based on the analytical result. The sensing gain proposed in this letter determines the slope of the probability of missing detection versus average signal-to-noise ratio (SNR) curve, at high SNR, in a log-log scale. Our result shows that the sensing gain just has a relationship with the type of channel fading and/or diversity scheme and is totally irrelevant with the false alarm probability which is preset.