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We consider transmission of stationary and ergodic sources over non-ergodiccomposite channels with channel state information at the receiver (CSIR).Previously we introduced alternate capacity definitions to Shannon capacity,including the capacity versus outage and the expected capacity. Thesegeneralized definitions relax the constraint of Shannon capacity that alltransmitted information must be decoded at the receiver. In this work alternateend-to-end distortion metrics such as the distortion versus outage and theexpected distortion are introduced to relax the constraint that a singledistortion level has to be maintained for all channel states. For transmissionof stationary and ergodic sources over stationary and ergodic channels, theclassical Shannon separation theorem enables separate design of source andchannel codes and guarantees optimal performance. For generalized communicationsystems, we show that different end-to-end distortion metrics lead to differentconclusions about separation optimality even for the same source and channelmodels.

Source-Channel Coding and Separation for Generalized Communication Systems