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| Application of the Concatenation of q-LDPC and Luby Transform Codes in Deep Communications |
| Lin Yong-zhao① Wu Cheng-ke① Liu Wei② |
①(State Key Laboratory of ISN, Xi’dian University, Xi’an 710071, China)
②(School of Electronics and Computer Science, University of Southampton, UK) |
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Abstract A concatenated scheme of Luby Transform (LT) code and q-ary Low Density Parity Check (q-LDPC) code is proposed for the requirement of deep space communications long erasure correcting codes. Considering the performance and complexity of the concatenated system, 8PSK modulation coded with 8-LDPC codes over AWGN channels is chosen to act as equivalent erasure channels and LT codes with flexible code length and low encoding and decoding complexity correct erasure errors. Two short 8-LDPC codes are designed. Simulations are conducted on the performance of packet error of two 8-LDPC codes and the overall performance of the concatenated system. Simulation results show that both the 8-LDPC codes outperform the corresponding binary LDPC (B-LDPC) codes with the same source rate and code rate and the bit error rate of the concatenated system is null with probability 1 when the packet erasure rate is not more than 0.1.
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Received: 21 August 2009
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Corresponding Authors:
Lin Yong-zhao
E-mail: kgdlyz@126.com
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2010, Vol. 32 
