论文部分内容阅读
在许多脉冲传输系统中,为了避免信号功率集中在某一频率范围内以及其他种种理由,都希望把所传输的序列随机化。在二进制脉冲传输的情况下,由 Savage 提出的用具有最长周期序列产生器做成的编码器——解码器实际上已被应用了。本文目的在于把至今所得到的由 Savage 提出的仅适用于二进制的有关编码器——解码器的分析和成果推广到多电平脉冲传输中去,并且导出可用于多电平脉冲序列的编码器——解码器方案。因此,本文着重就其与二进制情况的区别详细地讨论了必要的基本理论,例如输出自相关函数的性质等等。而且,为了容易设计编码器,还把伽罗华扩展域上的本原多项式列成了表。人们可以期望,这种编码器将为所传输的序列提供实践上充分的而数学上又是肯定的的随机性,且能直接用于多电平脉冲序列。
In many pulse transmission systems, it is desirable to randomize the transmitted sequence in order to avoid concentration of signal power within a certain frequency range and for various other reasons. In the case of binary pulse transmission, the encoder-decoder proposed by Savage with the longest periodic sequence generator has actually been used. The aim of this paper is to extend the analysis and results of the encoder-decoder only binary for Savage proposed so far to multi-level pulse transmission and to derive an encoder that can be used for multi-level pulse sequences - decoder scheme. Therefore, this article focuses on the basic theory of the difference between the binary situation and its details, such as the nature of the output autocorrelation function and so on. Moreover, in order to easily design the encoder, the primitive polynomials on the Galois field are also tabulated. One can expect that such an encoder will provide a practically sufficient and mathematically positive randomness to the transmitted sequence and be directly applicable to multilevel pulse sequences.