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莱斯和瑞利信道中FSK卷积码的统计特性

The Statistical Characteristics of FSK Convolutionary code in Rice and Rayleigh channel

  • 摘要: 本文把水声信道模型看成是莱斯(Rice)和瑞利(Rayleigh)信道,求得了FSK码的符号误差概率PE、FSK组码的位误差概率Pb1和FSK卷积码的位误差概率Pb。计算结果表明,信号确定性分量的贡献出现在PE表式的指数部份,信号的随机分量出现在表式的线性反比部份。当信号确定性分量上升时,PE迅速下降;在相同PbPb1的情况下,一种简单的卷积码所需频带宽度比组码小得多。在水声通讯应用方面,卷积码非常重要。

     

    Abstract: In this paper, the underwater channel is modeled as Rice or Rayleigh channel. The formulas of symbol error probability P, bit error probability P' of FSK block code and bit error probability P of FSK convolutionary code are obtained. The contribution of the determined part of signal is found on the exponential terms of P, and the contribution of the random part of signal is found on the linear inverse proportional terms. When the determined part of signal is increased, P is increased fastly; when P equal to P', the frequency width required by a simple convolutional code is considerable smaller than the one required by block code. The convolutionary code applied to underwater communication is very significant.

     

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