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A281476 Maximum length of binary (sign) sequences with corresponding peak sidelobe level. 0
13, 28, 51, 82, 105 (list; graph; refs; listen; history; text; internal format)



There are no Barker codes with length greater than 13, but there are sequences with minimum peak sidelobe level (MSL sequences). Such sequences have good peak sidelobe level relation (better than Barker codes), but they also have greater sidelobe level. MSL sequences with PSL = 1 are Barker codes.


Mark A. Richards, Fundamentals of Radar Signal Processing, Second Edition, 201-202.


Table of n, a(n) for n=1..5.

A. N. Leukhin and E. N. Potehin, Binary Sequences with Minimum Peak Sidelobe Level up to Length 68, arXiv:1212.4930 [cs.OH], 2012.

A. N. Leukhin and E. N. Potehin, Optimal peak sidelobe level sequences up to length 74, Proceedings of the 43rd European Microwave Conference (Nuremberg, Germany), IEEE, 2013, pp. 1807-1810.

M. A. Nasrabadi and M. H. Bastani, A Survey on the Design of Binary Pulse Compression Codes with Low Autocorrelation, Chapter 3 of Trends in Telecommunications Technologies, 2010.

C. J. Nunn and G. E. Coxson, Best-Known Autocorrelation Peak Sidelobe Levels for Binary Codes of Length 71 to 105, IEEE Transactions on Aerospace and Electronic Systems, Volume: 44, Issue: 1, January 2008.


Cf. A091704.

Sequence in context: A161453 A038597 A026054 * A001291 A018974 A018955

Adjacent sequences:  A281473 A281474 A281475 * A281477 A281478 A281479




Sergiy Piyatakov, Jan 22 2017



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