由m序列构造的同级类m序列及性能研究

根据实践中用状态剪接法获得的一种级数有限的类m序列,用数学手段证明级数为任意数时这种类m序列仍然存在,方法是将m序列移位寄存器的状态和有效反馈位都按奇数位和偶数位分开,分别研究它们对反馈值的影响,从理论上证明了级数为任意整数时,相关的共轭状态都符合类m序列的形成条件。经过分析和测试表明,该类m序列具有良好的伪随机特性。

A Kind of Allied m-sequence Obtained by m-sequence And its Performance

In reality, a kind of allied m-sequence with finite series can be obtained by the way of state splicing. On the basis of this, we can prove the existence of this allied m-sequence when the series are any numbers by the way of mathematics: That is to separate the state of m-sequence shift register and the effective feedback bits based on the odd and even numbers, and study their influence on feedbacks respectively. On the basis of theory, we can get a finding that when series are any numbers, relative conjugate states have the condition to form an allied m-sequence. By analysis and tests, allied m-sequence, we get has a perfect pseudo random character.