Some Constructions of Almost-Perfect, Odd-Perfect and Perfect Polyphase and Almost-Polyphase Sequences
Some Constructions of Almost-Perfect, Odd-Perfect and Perfect Polyphase and Almost-Polyphase Sequences
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DOI：
10.1007/978-3-642-15874-2_33
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发表时间：
2010-09
期刊：
影响因子：
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通讯作者：
E. Krengel
中科院分区：
文献类型：
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作者：
E. Krengel
本文从Frank序列和Milewski序列出发，提出了几种新的准完美（AP）、奇完美（OP）、完美多相和准多相序列。所考虑的几乎多相序列是含有一些零元素的多相序列。特别地，我们构造了长度为2.4t和4 t + 1的AP 2 t + 1-和2 t + 2-相位序列，长度为4 t和2.4t的OP 2 t + 1-和2 t + 2-相位序列，长度为4 t（pm+ 1）的OP 2 t +1-和2 t +2-相位序列，具有4 t个零和长度为2.4t（pm +1）的OP 2 t + 1-和2 t + 2-相位序列，具有2.4t个零，以及长度为4 t + 1（pm+ 1）的4 t +1个零和长度为2·4 t +1（pm +1）的2·4 t +1个零的2 t + 1相和2 t + 2相完美序列。结果表明，与已知的相同长度的OP序列和最佳多相序列相比，所得到的OP序列和最佳多相序列的相位字母表尺寸要小得多，并且某些新的OP序列的字母表尺寸是最小的.
In the paper, some new almost-perfect (AP), odd-perfect (OP) and perfect polyphase and almost-polyphase sequences derived from the Frank and Milewski sequences are presented. The considered almost-polyphase sequences are polyphase sequences with some zero elements. In particular, we constructed AP 2t+ 1- and 2t+ 2-phase sequences of length 2·4tand 4t+ 1, OP 2t+ 1- and 2t+ 2-phase sequences of length 4tand 2·4t, OP 2t+ 1- and 2t+ 2- phase sequences of length 4t(pm+ 1),with 4tzeroes and length 2·4t(pm+ 1),with 2·4tzeroes, and perfect 2t+ 1- and 2t+ 2- phase sequences of length 4t+ 1(pm+ 1) with 4t+ 1zeroes and 2·4t+ 1(pm+ 1) with 2·4t+ 1zeroes. It is shown that the phase alphabet size of the obtained OP and perfect almost-polyphase sequences is much smaller in comparison with the known OP and perfect polyphase sequences of the same length and the alphabet size of some new OP polyphase sequences is minimum.