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Sliding-block joint source/noisy-channel coding theorems

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2 Author(s)

Sliding-block codes are nonblock coding structures consisting of discrete-time time-invariant possibly nonlinear filters. They are equivalent to time-invariant trellis codes. The coupling of Forney's rigorization of Shannon's random-coding/typical-sequence approach to block coding theorems with the strong Rohlin-Kakutani Theorem of ergodic theory is used to obtain a sliding-block coding theorem for ergodic sources and discrete memoryless noisy channels. Combining this result with a theorem on sliding-block source coding with a fidelity criterion yields a sliding-block information transmission theorem. Thus, the basic existence theorems of information theory hold for stationary nonblock structures, as well as for block codes.

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Information Theory, IEEE Transactions on  (Volume:22 ,  Issue: 6 )