| R. Ahlswede, E. Yang, and Z. Zhang, "Identification via compressed data," IEEE Trans. Inform. Theory, vol. 43, pp. 48--70, Jan. 1997. |
....probability of correct decoding is where the minimum is for all . Comparing this with Remark iii) to Theorem IV.2 shows that feedback cannot exponentially improve the probability of correct decoding at rates above channel capacity. A recent combinatorial result of Ahlswede, Yang, and Zhang [11] is also easiest to state in terms of types. Their inherently typical subset lemma says, effectively, that given and , there is a finite set such that for sufficiently 2520 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 44, NO. 6, OCTOBER 1998 large , to any there exists a mapping and an type ....
....Their inherently typical subset lemma says, effectively, that given and , there is a finite set such that for sufficiently 2520 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 44, NO. 6, OCTOBER 1998 large , to any there exists a mapping and an type such that (VII.17) While this lemma is used in [11] to prove (the converse part of) a probabilistic result, it is claimed to also yield the asymptotic solution of the general isoperimetric problem for arbitrary finite alphabets and arbitrary distortion measures. C. Continuous Alphabets Extensions of the type concept to continuous alphabets are ....
R. Ahlswede, E. Yang, and Z. Zhang, "Identification via compressed data," IEEE Trans. Inform. Theory, vol. 43, pp. 48--70, Jan. 1997.
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