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Perfect Gaussian Integer Sequences Embedding Pre-Given Gaussian Integers
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DOI：10.1109/LSP.2019.2921228.png)
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摘要
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A pre-given Gaussian integer (CI) is a CI that is determined before a sequence is designed, and a sequence embedding a pre-given GI is a sequence that contains the GI as part of its components. In this letter, for an arbitrary pre-given GI, we present two constructions that produce perfect GI sequences (PGISs) embedding the pre-given GI with different embedment frequencies. Typically, for an arbitrary even integer N (N >= 4) and arbitrary pre-given GI c, one of our constructions can yield a PGIS of period N and degree 3 that embeds the pre-given GI c N-2 times. Our constructions provide a high degree of freedom and flexibility for PGIS designs to satisfy the requirements of sequence designs and applications.
Keyword:
Pre-given Gaussian integers
autocorrelation functions
perfect Gaussian integer sequences
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9.6
论文数:
1.1W
被引数:
1.7W
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