Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Periodic sequences with optimal properties for channel estimation and fast start-up equalization
IBM Journal of Research and Development
A novel method for constructing almost perfect polyphase sequences
WCC'05 Proceedings of the 2005 international conference on Coding and Cryptography
Almost-perfect and odd-perfect ternary sequences
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Almost-perfect quadriphase sequences
IEEE Transactions on Information Theory
Binary and quadriphase sequences with optimal autocorrelation properties: a survey
IEEE Transactions on Information Theory
Existence and nonexistence of almost-perfect autocorrelation sequences
IEEE Transactions on Information Theory
Odd perfect sequences and sets of spreading sequences with zero or low odd periodic correlation zone
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
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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 ċ 4t and 4t+1, OP 2t+1- and 2t+2-phase sequences of length 4t and 2 ċ 4t, OP 2t+1- and 2t+2 - phase sequences of length 4t(pm + 1), (pm - 1) ≡ 0 (mod 2 ċ 4t) with 4t zeroes and length 2 ċ 4t(pm + 1), (pm - 1) ≡ 0 (mod 4t+1) with 2 ċ 4t zeroes, and perfect 2t+1- and 2t+2 - phase sequences of length 4t+1(pm + 1) with 4t+1 zeroes and 2 ċ 4t+1(pm + 1) with 2 ċ 4t+1 zeroes. 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.