Closed‐Form Approximation of Average Error Probability With Finite‐Blocklength Coding Over Lognormal Wireless Communication Links

ABSTRACT This paper focuses on the analytical characterization of the average decoding error probability over lognormal wireless links. Starting from the normal approximation of the finite‐blocklength regime, a closed‐form approximation for the average error probability is derived, capturing the dependence on coding rate, blocklength, and channel fading parameters. In addition, an approximation for the variance of the error probability is presented as a natural extension of the same analytical framework. Numerical experiments under various parameter configurations confirm the high accuracy and robustness of the proposed formulas, demonstrating their practical relevance for reliability evaluation in lognormal wireless links.