Designing Sequences With Minimized Mean Sidelobe Level for Cognitive Radars

Improved bounds on the peak sidelobe level of binary sequences

Schmidt proved in 2014 that if ε > 0, almost all binary sequences of length n have peak sidelobe level between ( √ 2 − ε)√n log n and ( √ 2 + ε) √ n log n. Because of the small gap between his upper and lower bounds, it is difficult to find improved upper bounds that hold for almost all binary sequences. In this note, we prove that if ε > 0, then almost all binary sequences of length n have pea...

The peak sidelobe level of random binary sequences

Binary sequences with small autocorrelation at nonzero shifts have a wide range of applications in digital communications, including synchronisation and radar. Let Mn be the minimum of M(A) taken over all 2 n binary sequences A of length n. By a parity argument, it is seen that Mn ≥ 1 and it is known that Mn = 1 for n ∈ {2, 3, 4, 5, 7, 11, 13}, which arises from the existence of a Barker sequen...

Adaptive Sidelobe Cancellation Technique for Atmospheric Radars Containing Arrays with Nonuniform Gain

Constructing Binary Sequences with Optimal Peak Sidelobe Level: An Efficient Analytical-Computational Interplay

Binary sequence sets with asymptotically optimal auto/cross-correlation peak sidelobe level (PSL) growth have been known in the literature for a long time, and their construction has been studied both analytically and numerically. In contrast, it has been a long-standing problem whether we can construct a family of binary sequences whose auto-correlation PSL grows in an optimal manner. In this ...

Binary Sequences with Minimum Peak Sidelobe Level up to Length 68

Results of an exhaustive search for minimum peak sidelobe level binary sequences are presented. Several techniques for efficiency implementation of search algorithm are described. A table of number of non-equivalent optimal binary sequences with minimum peak sidelobe (MPS) level up to length 68 is given. This number can be used in prediction of the longest length for a given sidelobe level of b...