Abstract
In the theory of wireless communications, average performance measures (APMs)\nare widely utilized to quantify the performance gains/impairments in various\nfading environments under various scenarios, and to comprehend how the factors\narising from design/implementation affect system performance. To the best of\nour knowledge, it has not been yet discovered in the literature how these APMs\nrelate to each other. In this article, having been inspired by the work of\nVerdu et al. [1], we propose that one APM can be calculated using the other\nAPMs instead of using the end-to-end SNR distribution. Particularly, using the\nLamperti's transformation (LT), we propose a tractable approach, which we call\nLT-based APM analysis, to identify a relationship between any two given APMs\nsuch that it is irrespective of SNR distribution. Thereby, we introduce some\nnovel relationships among average channel capacity (ACC), average bit error\nrate (ABER) and outage probability/capacity (OP/OC) performances, and\naccordingly present how to obtain ACC from ABER performance and how to obtain\nOP/OC from ACC performance in fading environments. We demonstrate that the ACC\nof any communications system can be evaluated empirically without using\nend-to-end SNR distribution. We consider some numerical examples and\nsimulations to validate our newly derived relationships.\n