Referenced Items are not available for this document.
We examine codes, over the additive Gaussian noise channel, designed for reliable communication at some specific signal-to-noise ratio (SNR) and constrained by the permitted minimum mean-square error (MMSE) at lower SNRs. The maximum possible rate is below point-to-point capacity, and hence, these are nonoptimal codes (alternatively referred to as “bad” codes). We show that the maximum possible rate is the one attained by superposition codebooks. Moreover, the MMSE and mutual information behavior as a function of SNR, for any code attaining the maximum rate under the MMSE constraint, is known for all SNR. We also provide a lower bound on the MMSE for finite length codes, as a function of the error probability of the code.
Published in:
Information Theory, IEEE Transactions on
(Volume:59
,
Issue:
2
)
Date of Publication: Feb. 2013
- Page(s):
- 733 - 743
- ISSN :
- 0018-9448
- INSPEC Accession Number:
- 13234712
- Digital Object Identifier :
- 10.1109/TIT.2012.2220518
- Product Type:
- Journals & Magazines
- Date of Publication :
- 24 September 2012
- Date of Current Version :
- 16 January 2013
- Issue Date :
- Feb. 2013
- Sponsored by :
- IEEE Information Theory Society
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