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In the theory of wireless communications, average performance measures (APMs)are widely utilized to quantify the performance gains/impairments in variousfading environments under various scenarios, and to comprehend how the factorsarising from design/implementation affect system performance. To the best ofour knowledge, it has not been yet discovered in the literature how these APMsrelate to each other. In this article, having been inspired by the work ofVerdu et al. [1], we propose that one APM can be calculated using the otherAPMs instead of using the end-to-end SNR distribution. Particularly, using theLamperti's transformation (LT), we propose a tractable approach, which we callLT-based APM analysis, to identify a relationship between any two given APMssuch that it is irrespective of SNR distribution. Thereby, we introduce somenovel relationships among average channel capacity (ACC), average bit errorrate (ABER) and outage probability/capacity (OP/OC) performances, andaccordingly present how to obtain ACC from ABER performance and how to obtainOP/OC from ACC performance in fading environments. We demonstrate that the ACCof any communications system can be evaluated empirically without usingend-to-end SNR distribution. We consider some numerical examples andsimulations to validate our newly derived relationships.

On the Relationships Between Average Channel Capacity, Average Bit Error  Rate, Outage probability and Outage Capacity over Additive White Gaussian  Noise Channels