### Abstract

We propose a distributed MAC protocol for cognitive radio when primary network is IEEE 802.16e/m WiMAX. Our proposed MAC protocol is the Truncated Binary Exponential Backoff Algorithm where the backoff win dow size of algorithm is doubled at each collision, and the backoff counter is operated by frame basis in IEEE 802.16e/m and is freezed at a frame with no idle slots. We model our proposed MAC protocol as a 3-dimensional discrete time Markov chain and obtain steady state probability of the Markov chain by using a censored Markov chain method. Based on this steady state probability, we obtain the throughput, packet loss probability and packet delay distribution of secondary users. Our numerical examples show that the initial contention window size can be determined according to the number of secondary users in order to obtain higher throughput for secondary users, and the maximum backoff window has a large impact on the secondary user's packet loss prob ability. Secondary users' packet delay distribution is much influenced by the initial contention window size and the number of secondary users.

Original language | English |
---|---|

Pages (from-to) | 1483-1494 |

Number of pages | 12 |

Journal | Journal of Industrial and Management Optimization |

Volume | 13 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2017 Jul 1 |

### Fingerprint

### Keywords

- Cen-sored markov chain
- Cognitive radio
- Exponential backoff MAC protocol
- Throughput

### ASJC Scopus subject areas

- Business and International Management
- Strategy and Management
- Control and Optimization
- Applied Mathematics

### Cite this

**Performance analysis of binary exponential backoff MAC protocol for cognitive radio in the ieee 802.16e/m network.** / Jin, Shengzhu; Choi, Bong Dae; Eom, Doo-Seop.

Research output: Contribution to journal › Article

*Journal of Industrial and Management Optimization*, vol. 13, no. 3, pp. 1483-1494. https://doi.org/10.3934/jimo.2017003

}

TY - JOUR

T1 - Performance analysis of binary exponential backoff MAC protocol for cognitive radio in the ieee 802.16e/m network

AU - Jin, Shengzhu

AU - Choi, Bong Dae

AU - Eom, Doo-Seop

PY - 2017/7/1

Y1 - 2017/7/1

N2 - We propose a distributed MAC protocol for cognitive radio when primary network is IEEE 802.16e/m WiMAX. Our proposed MAC protocol is the Truncated Binary Exponential Backoff Algorithm where the backoff win dow size of algorithm is doubled at each collision, and the backoff counter is operated by frame basis in IEEE 802.16e/m and is freezed at a frame with no idle slots. We model our proposed MAC protocol as a 3-dimensional discrete time Markov chain and obtain steady state probability of the Markov chain by using a censored Markov chain method. Based on this steady state probability, we obtain the throughput, packet loss probability and packet delay distribution of secondary users. Our numerical examples show that the initial contention window size can be determined according to the number of secondary users in order to obtain higher throughput for secondary users, and the maximum backoff window has a large impact on the secondary user's packet loss prob ability. Secondary users' packet delay distribution is much influenced by the initial contention window size and the number of secondary users.

AB - We propose a distributed MAC protocol for cognitive radio when primary network is IEEE 802.16e/m WiMAX. Our proposed MAC protocol is the Truncated Binary Exponential Backoff Algorithm where the backoff win dow size of algorithm is doubled at each collision, and the backoff counter is operated by frame basis in IEEE 802.16e/m and is freezed at a frame with no idle slots. We model our proposed MAC protocol as a 3-dimensional discrete time Markov chain and obtain steady state probability of the Markov chain by using a censored Markov chain method. Based on this steady state probability, we obtain the throughput, packet loss probability and packet delay distribution of secondary users. Our numerical examples show that the initial contention window size can be determined according to the number of secondary users in order to obtain higher throughput for secondary users, and the maximum backoff window has a large impact on the secondary user's packet loss prob ability. Secondary users' packet delay distribution is much influenced by the initial contention window size and the number of secondary users.

KW - Cen-sored markov chain

KW - Cognitive radio

KW - Exponential backoff MAC protocol

KW - Throughput

UR - http://www.scopus.com/inward/record.url?scp=85021696085&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021696085&partnerID=8YFLogxK

U2 - 10.3934/jimo.2017003

DO - 10.3934/jimo.2017003

M3 - Article

AN - SCOPUS:85021696085

VL - 13

SP - 1483

EP - 1494

JO - Journal of Industrial and Management Optimization

JF - Journal of Industrial and Management Optimization

SN - 1547-5816

IS - 3

ER -