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On the Fly Belief Propagation Decoding Algorithm for LT Codes

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Communications, Signal Processing, and Systems (CSPS 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 463))

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Abstract

As the first realisation of Fountain Codes, Luby Transform (LT) codes provide high reliability and scalability and low complexities for data transmission in networks. Two basic algorithms, Belief Propagation (BP) and Gaussian Elimination (GE), were introduced to decode LT codes. However, both of them execute their decoding process only after all the encoded symbols have been received by decoder, which results in the waste of time, storage space and computing resource. In this paper, an improved decoding algorithm termed on the fly belief propagation (OFBP) for LT codes is proposed. Based on the BP algorithm, OFBP performs the decoding processing once each encoded symbol arrives thus distributing the decoding work during all symbols reception. Compared with the traditional BP algorithm, the actual decoding time of the proposed algorithm is highly shortened. Moreover, without processing all the encoded symbols, the actual storage space and decoding complexity are greatly reduced while maintaining the same performance relative to the traditional BP decoding scheme.

Z. Liu—This work was supported by the National Natural Science Foundation of China (No. 91338201, No. 91438109, No. 61571464, No. 61401507, No. 61601511).

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Correspondence to Gengxin Zhang .

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Suo, L., Zhang, G., Bian, D., Lv, J., Chen, H., Liu, Z. (2019). On the Fly Belief Propagation Decoding Algorithm for LT Codes. In: Liang, Q., Mu, J., Jia, M., Wang, W., Feng, X., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2017. Lecture Notes in Electrical Engineering, vol 463. Springer, Singapore. https://doi.org/10.1007/978-981-10-6571-2_217

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  • DOI: https://doi.org/10.1007/978-981-10-6571-2_217

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6570-5

  • Online ISBN: 978-981-10-6571-2

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