最大长度非线性伪随机序列的设计与实现

Lv Hong, Min Xu, Z. Peng, Lv Hui
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引用次数: 3

摘要

伪随机序列在通信、密码学、导航、雷达等领域有着广泛的应用。m序列是理想的伪随机序列之一。利用m序列的反馈函数,提出了一种构造非线性最大长度移位寄存器反馈函数的新方法。利用m序列的特征函数和反馈函数构造反馈函数。通过反馈函数,在FPGA上实现了非线性最大长度伪随机序列。同时,分析表明,该序列具有良好的伪随机特性。这是令人满意的,令人向往的。
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Design and Implementation of a Maximal Length Nonlinear Pseudorandom Sequence
Pseudorandom Sequences have been widely used in many areas such as telecommunication, cryptology, navigation and radar. m-sequence is one of desirable pseudorandom sequences. By utilizing the feedback functions of m-Sequences, a new method of constructing the feedback function of the nonlinear maximal length shift registers is presented. The feedback function is constructed by using of both the characteristic function and feedback functions from m-Sequences. Through the feedback functions, the nonlinear maximal length pseudorandom sequences are realized on FPGA. Meanwhile, the corresponding analysis demonstrates that this type of sequence has the desirable pseudorandom characteristic. It’s satisfactory and desirable.
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