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Network Coding Based Schemes for Imperfect Wireless Packet Retransmission Problems: A Divide and Conquer Approach

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Abstract

NC (Network Coding) provides a new approach to packet retransmission problems in wireless networks, which are named as WPRTPs (Wireless Packet Retransmission Problems) in this paper. Some research has been conducted on P-WPRTPs (Perfect WPRTPs) where, for one receiver, a packet is either being requested by or already known to it. However, very few efforts are focused on IP-WPRTPs (Imperfect WPRTPs) where, for one receiver, a packet can be neither requested by nor already known to it. In this paper, we focus on IP-WPRTPs. Firstly, a WPRTP reduction theorem for simplifying WPRTPs is proposed and proved. Then, the upper and lower bounds of the number of necessary packet transmissions in optimal NC-based solutions to IP-WPRTPs are analyzed. Next, a scheme named as IP-WPRTP-DC (Divide and Conquer based scheme for IP-WPRTPs) is proposed based on the WPRTP reduction theorem using a divide and conquer approach. Extensive simulations show that the IP-WPRTP-DC scheme is effective in saving the number of packet transmissions for solving IP-WPRTPs.

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Authors and Affiliations

  1. College of Automation, Harbin Engineering University, 150001, Harbin, China

    Zhenguo Gao

  2. College of Computer Science and Technology, Harbin Engineering University, 150001, Harbin, China

    Zhenguo Gao, Shaobin Cai, Xiang Li & Huiqiang Wang

  3. Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA

    Zhenguo Gao & Klara Nahrstedt

  4. Department of Electrical and Computer Engineering, University of Nevada, Las Vegas, NV, 89119, USA

    Mei Yang

  5. Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong, People’s Republic of China

    Jianping Wang

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  1. Zhenguo Gao
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  2. Mei Yang
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  3. Jianping Wang
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  4. Klara Nahrstedt
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  5. Shaobin Cai
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  6. Xiang Li
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  7. Huiqiang Wang
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Correspondence to Zhenguo Gao.

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Gao, Z., Yang, M., Wang, J. et al. Network Coding Based Schemes for Imperfect Wireless Packet Retransmission Problems: A Divide and Conquer Approach. Wireless Pers Commun 62, 937–958 (2012). https://doi.org/10.1007/s11277-010-0102-9

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  • DOI: https://doi.org/10.1007/s11277-010-0102-9

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