On the performance of coded/shaped modulation

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

Research output: Contribution to conferencePaperpeer-review

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)
StatePublished - 1994
Externally publishedYes
EventProceedings of the 1994 IEEE International Symposium on Information Theory - Trodheim, Norw
Duration: Jun 27 1994Jul 1 1994


OtherProceedings of the 1994 IEEE International Symposium on Information Theory
CityTrodheim, Norw

ASJC Scopus subject areas

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


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