On the performance of coded/shaped modulation

Fu Quan Wang, Lance C. Perez, Daniel J. Costello

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


An upper bound on the error probability of a shaped modulation scheme is derived. The bound shows that nonequiprobable signaling affects the performance in two ways. First, it reduces the average signal energy which contributes positively to the shaping gain. Second, it reduces the "equivalent minimum distance" of the signal set relative to the noise level which contributes negatively to the shaping gain. The "equivalent minimum distance" becomes the true minimum distance in the signal set when the noise level is near zero (SNR → ∞). Thus, the conventional definition of shaping gain is in fact the asymptotic shaping gain.

Original languageEnglish (US)
Title of host publicationProceedings - 1994 IEEE International Symposium on Information Theory, ISIT 1994
Number of pages1
StatePublished - 1994
Externally publishedYes
Event1994 IEEE International Symposium on Information Theory, ISIT 1994 - Trondheim, Norway
Duration: Jun 27 1994Jul 1 1994

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095


Other1994 IEEE International Symposium on Information Theory, ISIT 1994

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics


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