Voice channel

In this work we introduce and offer a partial solution to the voice channel problem. The usual channel capacity problem involves choosing appropriate signals to communicate over a fixed channel. In contrast, the voice channel problem involves choosing appropriate channels or filters to modulate a random input signal from a known distribution. We want to characterize the set of distinguishable filters that maximize the information transmitted. The solution to this problem has tie-ins with achievable rates on Gaussian fading channels and multipath channels.