A wired communications link is designed to cover a distance of 1m and have an overall end-to-end probability of error of no more than Pₑ=4x10⁻⁵. The link uses binary polar signals with voltage levels of +0.5V. The link uses cable with a loss of 17dBkm⁻¹ and has single amplifying repeater at its mid-point.
What is the maximum RMS noise voltage that can tolerated with the current link?