Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Cross-Correlation Properties of Cyclotomic Sequences
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New families of binary sequences with optimal three-level autocorrelation
IEEE Transactions on Information Theory
A class of pseudonoise sequences over GF(P) with low correlation zone
IEEE Transactions on Information Theory
Almost difference sets and their sequences with optimal autocorrelation
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
New constructions of quaternary low correlation zone sequences
IEEE Transactions on Information Theory
Niho type cross-correlation functions via dickson polynomials and Kloosterman sums
IEEE Transactions on Information Theory
New Design of Low-Correlation Zone Sequence Sets
IEEE Transactions on Information Theory
New Sets of Optimal p-ary Low-Correlation Zone Sequences
IEEE Transactions on Information Theory
Characterization of -Sequences of Lengths and With Three-Valued Cross Correlation
IEEE Transactions on Information Theory
A Note on Low-Correlation Zone Signal Sets
IEEE Transactions on Information Theory
Theory and applications of q-ary interleaved sequences
IEEE Transactions on Information Theory
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Sequence set with lower correlation values is highly desired for engineering applications. However, theoretical results (e.g., Welch bound) show that θmax ≥ √N in general, that is, the maximum out-of-phase autocorrelation and cross-correlation magnitudes of a sequence set is not less than the square root of the sequence period. In this paper, we propose a new concept, namely almost perfect sequence set (APSS), which has the property θmax ≤ c except for at most m shifts, where c and m are predefined small integers. A uniform method is presented to construct APSS and then the properties of such APSS are discussed. Moreover, a distance inequality on the APSS with m = 1 is obtained and several APSS families such as (2p, 8p+2, 6, 4)-APSS and (3p, 64p2+8/3, 9, 9)-APSS for any prime p ≥ 5 are constructed based on Paley and Paley partial sequences. Finally, it shows that the APSS can be used to construct LCZ sequences and the properties of such LCZ sequences are presented.