A note on the sum-rate-distortion function of some lossy source coding problems involving infinite-valued distortion functions

摘要

For a number of lossy source coding problems it is shown that even if theusual single-letter sum-rate-distortion expressions may become invalid fornon-infinite distortion functions, they can be approached, to any desiredaccuracy, via the usual valid expressions for appropriately truncated finiteversions of the distortion functions.