Harr小波数列在网络纠错码上的应用研究

Application of Harr Wavelet Sequence on the Network Error Correction Code

正交小波函数在信号处理领域有着广泛的应用前景,但目前只能应用在连续信号上。研究了无线两信源中继通信模型上的中继节点展开新型网络纠错码的设计,并首次把这两个数列所特有的塔式重构和分解算法引入到相关的纠错码本设计和译码过程中。由于充分利用了信道的广播特性和该模型的拓扑结构,提出的两个Harr小波数列纠错码本设计方案的性能都远优于传统的纠错码设计方法。理论分析表明,在先验信息的帮助下,两个接收节点可以对码本进行分类,从而在局部上最大化码字之间的最小距离,从而获得最佳的检错纠错性能。在同等性能前提下,比起传统纠错码设计方法,两套新方案可以使中继节点的数据传输量分别下降40%和43%。

The orthogonal wavelet functions have extensive application prospect in the field of signal processing, but now it only can be applied on the continuous signals. The paper studies the new design of network error correction code for the wireless model with two source s and one relay node, then initially introduces the endemic pyramidal reconstructxon and decomposition algorithm for two sequences into the design of error correction code and decoding process. Because of making full use of the channel broadcasting property and the topological structure, the performance of two proposed codebooks using Hart wavelet sequence is much better than the traditional error correction codebooks. The theoretical analysis shows that, with the help of prior information, two receiver can classify the codebooks to maximize the local minimum codeword distance and get the best performance on error detection and error correction. Under the precondition of the same performance, compared with the traditional error correction code, the transmission rate of the relay node with two proposed schemes can reduce g about 40% and 43%, respectively.