半双工中继信道下联合LDPC码设计

doi:10.3969/j.issn.1000-436x.2013.03.017

Abstract

Abstract:

In order to increase the coding gain of decode-and-forward half-duplex relay channel, a jointed LDPC coding structure and its corresponding optimization scheme was proposed. Novel structure made the subcodes of both source and relay nodes as parts of the overall code. Using the messages from the source and the relay, the destination could decode the information of the source and relay nodes simultaneously. To analyze the asymptotic coding gain of jointed LDPC codes, the iterative decoding convergence condition was derived in AWGN channel. Combining the iterative decoding convergence condition and the degree distribution constraint, the optimization problem of the jointed LDPC code degree distribution was presented. The simulation results show that jointed LDPC codes outperform both BE-LDPC codes and SP codes.

Key words: LDPC codes, decode-and-forward, relay channel, density evolution

Zi-qiang CHEN,Shan OUYANG,Hai-lin XIAO,Yue-lei XIE. Jointed LDPC codes design for half-duplex relay channels[J]. Journal on Communications, 2013, 34(3): 134-140.

Figures/Tables 6

码字参数					码字参数的取值
		码C				码D
	i的取值	l_i0	l_i1	l_i2	l_i3	l_i0	l_i1	l_i2	l_i3
	i=0	0	0	0.028 29	0.001 198	0	0	0.123 36	0.002 41
	i=2	0.128 08	0.008 226	0.011 025	0.025 028	0.058 39	0.006 04	0.005 22	0.126 35
l_{i j}	i=3	0.122 36	0.068 772	0.002 226	0.004 321	0.056 46	0.002 62	0.000 38	0.157 78
	i=6	0.011 431	0.037 589	0.000 262	0.045 34	0.013 97	0.003 53	0.000 46	0.060 12
	i=7	0.125 42	0.004 258	0.000 03	0.001 790	0.050 14	0.038 80	0.010 38	0.012 75
	i=19	0.000 125	0.000 05	0.000 295	0.062 456	0.037 67	0.000 41	0.001 55	0.003 12
	i=20	0.000 105	0.001 417	0.000 330	0.309 57	0.049 80	0.042 70	0.041 71	0.093 88
${\bar{d}}_{c_{1}}$ ${\bar{d}}_{c_{1}}$			15,9.876 9				15,5.380 7
h(R₁,R₂)			0.856 35（0.7,0.638 5）				0.663 8 (0.7,0.477 3)
G ap₁,G ap₂			0.084 78,0.110 6				0.084 78,0.303 3

码字参数					码字参数的取值
		码E					码F
	i的取值	l_i0	l_i1	l_i2	l_i3	l_i0	l_i1	l_i2	l_i3
	i=0	0	0	0.132 34	0.180 93	0	0	0.221 5	0.026 579
	i=2	0.092 299	0.000 804	0.012 413	0.012 737	0.049 654	0.002 999	0.003 246	0.113 01
l_{i j}	i=3	0.031 406	0.099 618	0.018 24	0.013 742	0.048 289	0.010 549	0.002 509	0.118 99
	i=6	0.014 561	0.033 1	0.009 477	0.002 547	0.010 884	0.005 957	0.001 297	0.047 948
	i=7	0.037 223	0.039 93	0.017 848	0.007 219	0.043 398	0.001 008	0.000 658	0.059 079
	i=19	0.021 232	0.002 581	0.003 710	0.012 668	0.016 807	0.001 373	0.010 832	0.009 270
	i=20	0.077 04	0.011 041	0.036 444	0.078 851	0.069 901	0.011 091	0.002 355	0.110 82
${\bar{d}}_{c_{1}}$ ${\bar{d}}_{c_{2}}$			15,30.936				15, 6.835 7
h(R₁, ${\overset{⌢}{R}}_{2}$ )			0.598 14 (0.7,0.789 5)				0.565 65(0.7,0.590 6)
G ap₁,G ap₂			0.084 78,0.126 3				0.084 78,0.309 0

References 15

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使用方法	码A/dB	码B/dB
本文分析方法	2.125 8	0.132 6
BDE分析方法	2.050 2	0.094 8

Jointed LDPC codes design for half-duplex relay channels

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