论文标题
刺穿的二进制简称代码作为LDPC代码
Punctured Binary Simplex Codes as LDPC codes
论文作者
论文摘要
数字数据传输可以通过适当的错误校正代码来保护。在最先进的代码家族中，LDPC（低密度均等检查）代码最近由于其性能和操作的性能和灵活性，在无线和移动无线电通道以及电缆传输系统中而受到了很大的关注。在本文中，我们提出了一类速率自适应的LDPC代码，这些代码是正确刺穿的单纯形代码。这些代码允许使用有效的软否决解码算法，前提是满足称为行柱约束的条件。该条件在小型代码上进行测试，然后扩展到中型代码。我们采用的穿刺操作不会影响行柱约束的满意度，以确保可以获得广泛的代码率。我们可以达到的代码速率高于原始单纯码可获得的代码速率，而最低距离的价格则相对较小，从而导致了由此产生的渐近编码增益的有趣权衡。
Digital data transfer can be protected by means of suitable error correcting codes. Among the families of state-of-the-art codes, LDPC (Low Density Parity-Check) codes have received a great deal of attention recently, because of their performance and flexibility of operation, in wireless and mobile radio channels, as well as in cable transmission systems. In this paper, we present a class of rate-adaptive LDPC codes, obtained as properly punctured simplex codes. These codes allow for the use of an efficient soft-decision decoding algorithm, provided that a condition called row-column constraint is satisfied. This condition is tested on small-length codes, and then extended to medium-length codes. The puncturing operations we apply do not influence the satisfaction of the row-column constraint, assuring that a wide range of code rates can be obtained. We can reach code rates remarkably higher than those obtainable by the original simplex code, and the price in terms of minimum distance turns out to be relatively small, leading to interesting trade-offs in the resulting asymptotic coding gain.
