### Abstract

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 language | English (US) |
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Title of host publication | IEEE International Symposium on Information Theory - Proceedings |

Publisher | IEEE |

State | Published - 1994 |

Externally published | Yes |

Event | Proceedings of the 1994 IEEE International Symposium on Information Theory - Trodheim, Norw Duration: Jun 27 1994 → Jul 1 1994 |

### Other

Other | Proceedings of the 1994 IEEE International Symposium on Information Theory |
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City | Trodheim, Norw |

Period | 6/27/94 → 7/1/94 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*IEEE International Symposium on Information Theory - Proceedings*IEEE.

**On the performance of coded/shaped modulation.** / Wang, Fu Quan; Perez, Lance C; Costello, Daniel J.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IEEE International Symposium on Information Theory - Proceedings.*IEEE, Proceedings of the 1994 IEEE International Symposium on Information Theory, Trodheim, Norw, 6/27/94.

}

TY - GEN

T1 - On the performance of coded/shaped modulation

AU - Wang, Fu Quan

AU - Perez, Lance C

AU - Costello, Daniel J.

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0028712867&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028712867&partnerID=8YFLogxK

M3 - Conference contribution

BT - IEEE International Symposium on Information Theory - Proceedings

PB - IEEE

ER -