  Ergodic capacity and average bit error rate have been widely used to compare
the performance of different wireless communication systems. As such recent
scientific research and studies revealed strong impact of designing and
implementing wireless technologies based on these two performance indicators.
However and to the best of our knowledge, the direct links between these two
performance indicators have not been explicitly proposed in the literature so
far. In this paper, we propose novel relations between the ergodic capacity and
the average bit error rate of an overall communication system using binary
modulation schemes for signaling with a limited bandwidth and operating over
generalized fading channels. More specifically, we show that these two
performance measures can be represented in terms of each other, without the
need to know the exact end-to-end statistical characterization of the
communication channel. We validate the correctness and accuracy of our newly
proposed relations and illustrated their usefulness by considering some
classical examples.
