二進制序列的Tseng游程定理
THEOREMS OF TSENG RUNS OF BINARY SEQUENCE
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摘要: 本文研究了二進制序列游程相關(guān)函數(shù)中的Tseng游程的性質(zhì),導(dǎo)出了Tseng游程與序列中各種游程長度的游程數(shù)之間的關(guān)系,為了證明定理的需要,文中引入了游程串,鏈接元等新概念,證明了幾個定理。這些定理不僅清楚地描述了原序列中不同游程長度的游程數(shù)對相關(guān)函數(shù)的旁瓣的影響,而且還揭示了存在可確定碼字類型的定型常數(shù).
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關(guān)鍵詞:
- 二進制序列; 相關(guān)函數(shù); 游程
Abstract: In this paper, The properties of Tseng runs in RCF of a binary sequence are studied. The relation between Tseng runs and run numbers of different run lengths in sequence are derived, and some new conceptions: run catena, concatenated elements, etc., are introduced for proving the theorems in this paper. And these theorems not only clearly describe that the sidelobes of CF are influenced by the run numbers of different run lengths in sequence, but also discover the existence of the typed constant, which may be used to determine the type of code words. -
楊光正,楊翔宇,徐麗娟.二進制序列的游程相關(guān)函數(shù).電子科學(xué)學(xué)刊,1998,20(3): 342-351.[2]Tseng C C, Liu C L. Complementary sets of sequences. IEEE Trans. on Inform. Theory, 1972[3]IT-18(5): 644-651. -
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