### Abstract

The bit error probability of the multistage linear parallel interference canceller in a long-code code division multiple access (CDMA) system is analyzed with a graphic approach in this research. The decision statistic is modelled as a Gaussian random variable, whose mean and variance can be expressed as functions of moments of (R - I), where R is the correlation matrix of signature sequences. Since the complexity of calculating these moments increases rapidly with the growth of the stage index, a graphical representation of moments is developed to facilitate the computation. Propositions are presented to relate the moment calculation problem to several well known problems in graph theory, i.e., the coloring, the graph decomposition, the biconnected component, and the Euler tour problems. It is shown that the analytic results of the bit error probability match well with simulation results.

Original language | English |
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Title of host publication | IEEE International Conference on Communications |

Pages | 288-292 |

Number of pages | 5 |

Volume | 1 |

Publication status | Published - 2002 |

Externally published | Yes |

Event | 2002 International Conference on Communications (ICC 2002) - New York, NY, United States Duration: 2002 Apr 28 → 2002 May 2 |

### Other

Other | 2002 International Conference on Communications (ICC 2002) |
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Country | United States |

City | New York, NY |

Period | 02/4/28 → 02/5/2 |

### Fingerprint

### ASJC Scopus subject areas

- Media Technology

### Cite this

*IEEE International Conference on Communications*(Vol. 1, pp. 288-292)

**Analysis of multistage linear parallel interference cancellation in CDMA systems using graphical representation.** / Hwang, Chien H.; Kim, Chang-Su; Kuo, C. C J.

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

*IEEE International Conference on Communications.*vol. 1, pp. 288-292, 2002 International Conference on Communications (ICC 2002), New York, NY, United States, 02/4/28.

}

TY - GEN

T1 - Analysis of multistage linear parallel interference cancellation in CDMA systems using graphical representation

AU - Hwang, Chien H.

AU - Kim, Chang-Su

AU - Kuo, C. C J

PY - 2002

Y1 - 2002

N2 - The bit error probability of the multistage linear parallel interference canceller in a long-code code division multiple access (CDMA) system is analyzed with a graphic approach in this research. The decision statistic is modelled as a Gaussian random variable, whose mean and variance can be expressed as functions of moments of (R - I), where R is the correlation matrix of signature sequences. Since the complexity of calculating these moments increases rapidly with the growth of the stage index, a graphical representation of moments is developed to facilitate the computation. Propositions are presented to relate the moment calculation problem to several well known problems in graph theory, i.e., the coloring, the graph decomposition, the biconnected component, and the Euler tour problems. It is shown that the analytic results of the bit error probability match well with simulation results.

AB - The bit error probability of the multistage linear parallel interference canceller in a long-code code division multiple access (CDMA) system is analyzed with a graphic approach in this research. The decision statistic is modelled as a Gaussian random variable, whose mean and variance can be expressed as functions of moments of (R - I), where R is the correlation matrix of signature sequences. Since the complexity of calculating these moments increases rapidly with the growth of the stage index, a graphical representation of moments is developed to facilitate the computation. Propositions are presented to relate the moment calculation problem to several well known problems in graph theory, i.e., the coloring, the graph decomposition, the biconnected component, and the Euler tour problems. It is shown that the analytic results of the bit error probability match well with simulation results.

UR - http://www.scopus.com/inward/record.url?scp=0036279170&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036279170&partnerID=8YFLogxK

M3 - Conference contribution

VL - 1

SP - 288

EP - 292

BT - IEEE International Conference on Communications

ER -