不规则采样序列的平移等价性

On shift equivalence of anomalous sampling sequence

研究了包含钟控序列在内的一般不规则采样序列的平移等价性,解决了这类序列平移等价分类问题。具体给出了一般不规则采样序列平移等价与被采序列和采样距序列平移等价的关系和两个一般不规则采样序列平移等价的充分条件,并针对一个特殊的不规则间选序列,给出了其平移等价与被采序列和采样距序列所对应两个线性移位寄存器序列反馈函数相等的充分必要条件。

The shift equivalence of anomalous sampling sequence （ASS） is discussed, including the clock-controlled sequence, and the problem on the shift equivalence classification of the special sequences are solved. The relationships between the shift equivalence of the general ASS and the shift equivalence of the sampled sequence and the sampling distance sequence are shown. The condition on the shift equivalence relationship between two general ASSs is obtained. For a special class of sequences which are chosen anomalously disconti- nuously, the paper give the if and only if condition about the shift equivalence of the sequences. The condition is the feedback functions of the two linear feedback shift registers, which correspond to the sampled sequence and the sampling distance sequence, are equal.