Abstract
Data processing lower bounds on the expected distortion are derived in the finite-alphabet semideterministic setting, where the source produces a deterministic, individual sequence, but the channel model is probabilistic, and the decoder is subjected to various kinds of limitations, e.g., decoders implementable by finite-state machines, with or without counters, and with or without a restriction of common reconstruction with high probability. Some of our bounds are given in terms of the Lempel-Ziv complexity of the source sequence or the reproduction sequence. We also demonstrate how some analogous results can be obtained for classes of linear encoders and linear decoders in the continuous alphabet case.
| Original language | English |
|---|---|
| Article number | 6858082 |
| Pages (from-to) | 6032-6040 |
| Number of pages | 9 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 60 |
| Issue number | 10 |
| DOIs | |
| State | Published - 1 Oct 2014 |
Keywords
- Data processing theorem
- Lempel-Ziv algorithm
- common reconstruction
- delay
- finite-state machine
- redundancy
All Science Journal Classification (ASJC) codes
- Information Systems
- Computer Science Applications
- Library and Information Sciences