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Auto- and crosscorrelation properties for extended m-sequences and related sequences

机译:扩展m序列和相关序列的自相关和互相关属性

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Sequences from the well-known linear PN-sequence families like m-sequences or Gold-codes all have periods 2/sup n/-1, n integer. These sequences provide good auto- and/or crosscorrelation properties whereas-in some cases-they do not fit system clock requirements in that their period is not equal to 2/sup n/ but smaller by one. Thus, it might be advantageous to increase the period of the above mentioned sequences by one yielding extended sequences with period 2/sup n/. In the article extended m-sequences and sequences obtained from extended m-sequences are investigated and compared to m-sequences and Gold-codes. The even auto- and crosscorrelation functions are evaluated.
机译:来自众所周知的线性PN序列族的序列(例如m序列或Gold码)都具有周期2 / sup n / -1,n整数。这些序列提供了良好的自相关和/或互相关特性,而在某些情况下,由于它们的周期不等于2 / sup n /,而是小于1,因此它们不符合系统时钟要求。因此,将上述序列的周期增加一个产生周期为2 / sup n /的扩展序列可能是有利的。在本文中,对扩展的m序列和从扩展的m序列获得的序列进行了研究,并将其与m序列和Gold码进行了比较。评估偶数自相关函数和互相关函数。

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