Improving Link Budget Analysis of Adaptive Wireless Systems with Probabilistic Inequalities

The application of various probabilistic inequalities in link budget analysis of adaptive transmission systems is considered. In particular, we complement conventional link budget analysis with a new correction term that we call adaptation gain. The adaptation gain describes how the area mean of the received power changes when transmission power control is used. The upper and lower bounds of the adaptation gain are derived using the Holder inequality. Furthermore, using the one-sided Chebyshev inequality, we determine general upper and lower bounds of the fade margin using only the first and second order moments of the received power. Numerical results suggest that the adaptation gain, when expressed in decibels, can be either positive or negative with an absolute value of several decibels. A similar effect is observed also for the required fade margin. These observations bring new insights into the link budget analysis of adaptive links.