二進(jìn)制序列的群相關(guān)特性
THE GROUP CORRELATION PROPERTIES OF BINARY SEQUENCES
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摘要: 本文研究了二進(jìn)制序列的群相關(guān)特性,證明了不僅二進(jìn)制序列的群相關(guān)函數(shù)是理想的,而且當(dāng)碼長N是偶數(shù)位時(shí),它的某些子集的群相關(guān)函數(shù)也是理想的。文中還導(dǎo)出了二進(jìn)制集C的群相關(guān)函數(shù)的一般形式。
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關(guān)鍵詞:
- 脈壓碼; 群相關(guān)函數(shù); 二進(jìn)制序列
Abstract: The group correlation properties of binary sequences is studied. And a conclusion is drawn that not only the group correlation function of a binary sequence itself is ideal, but also that of some of its subsets, when code length N is even, is ideal. Finally a general formula of the group correlation function of a binary sequence set is derived. -
Miller W Jr. Symmetry Groups and Their Application. New York: Academic Press, 1992, Chapter 1.[2]楊光正.脈壓碼時(shí)間旁共特性的研究.電子科學(xué)學(xué)刊,1994, 16(1): 40-47.[3]楊光正.Barker碼的一些結(jié)論和二元碼的優(yōu)選問題.電子科學(xué)學(xué)刊,1995, 17(1): 35-41.[4]Frank R L. Polyphase codes with good nonperodic correlation properties. IEEE Trans. on IT, 1963, IT-9(1): 43-46.[5]Lewis B L, Kretshmer F F. Linear frequency modulation derived polyphase pulse compression codes. IEEE Trans, on AES, 1982, AES-18(5): 637-841.[6]Golay M J E. Complementary series. IRE Trans., on IT, 1961, IT-7(4): 82-87. -
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