伪随机遥控指令码集的选择

THE CHOICES OF REMOTE-CONTROL COMMANDING CODE SET OF PSEUDO RANDOM

本文论述了所有达到Baumert-王-welch(BWW)下界的伪随机序列可用于构成遥控指令码;推导出这类码集最大容错数的一般公式.得出了达到BWW界的伪随机序列的平移等价序列构成的指令码集在抗干扰性能上是最佳循环码集的结论.给出了序列及其反序列的平移等价序列共同做为遥控指令码集的条件.

In this paper, it is proved that all pseudo-random sequences with Baumer-Wang-Welch's (BWW) lower bound can be used to construct remote-control commanding codes, and a general formula of maximum fault tolerant number for this kind of code set is given. It is proved that the code set of command, which reaches the equivalent translating sequences of a pseudo-random sequence with BWW's lower bound construct, is an optimal 'cyclic' code set on the interference-free performance. Full essential condition is given, under which a sequence and its inverse sequence together with their equivalent translating sequences can be used to construct remote-control command code set.