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本文用Walsh-Hadamard函数表示移位寄存器状态的方法,来研究延迟型m序列目前尚未解决的问题:1.二个或n个延迟型m序列模二和等于一个延迟多少位的延迟型m序列;2.对于一个延迟型m序列产生器,其中任意n级模二和等于一个延迟多少位的延迟型m序列。本文除给出解决上述问题的普遍方法外,利用序列的特性,对某些延迟型m序列给出了简便的分析方法,此外,还对具有互反多项式关系的延迟型m序列作了讨论。
In this paper, Walsh-Hadamard function is used to represent the state of shift register to study the unresolved problems of delayed m-sequence: 1. Two or n delayed m-sequence modulo and a delayed m-sequence ; 2. For a delayed m-sequence generator, where any n-level modulo two equals one delayed m-sequence delayed by a few bits. In addition to the general methods for solving the above problems, this paper gives a simple and convenient method to analyze some delayed m-sequences by using the properties of the sequences. In addition, the delay-type m sequences with reciprocal polynomial relations are also discussed.