## Markov Random Processes are not Recoverable After Quantization and Mostly not Recoverable From Samples

- Daniel Marco
- IEEE International Symposium on Information…
- 2007

Highly Influenced

5 Excerpts

@article{Hajek1982InformationsingularityAR, title={Information-singularity and recoverability of random processes}, author={Bruce E. Hajek}, journal={IEEE Trans. Information Theory}, year={1982}, volume={28}, pages={422-429} }

- Published in IEEE Trans. Information Theory 1982
DOI:10.1109/TIT.1982.1056513

none of these meet the For 6 = 1, K = 5 the sequence s = (B; AAABA) has b-inner length condition of 6 i-cr + 1. periodicities (1,s; 4) and (2,3; 1) and thus does not satisfy the conclusion. Corresponding counter examples can be constructed immediately for any K and 6 < K-3. A,x u+a-l = b and continuing periodically.~ If there is an x,-, , choose it to be A, thus violating the cr periodicity. If there is an xh+ , , choose it to be A or B as necessary to violate (Y periodicity. If there are… CONTINUE READING