Distortion bounds and a Protocol for One-Shot Transmission of Correlated Random Variables on a Non-Coherent Multiple-Access Channel

Bounds on the distortion derived in [1] are adapted to the case where two continuous random variables are sent over a multiple access channel with phase shifts using the help of two feedback channels. The first source is defined to be uniformly distributed and the second source is defined as the sum of the first source and an auxiliary random variable which is also uniform. Additionally, using the same definition of the two sources, the two-round protocol introduced in [2] is studied in detail and a comparison is made in order to discuss the tightness of the information-theoretic bounds.