About binary codes with low mean sidelobe level

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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...

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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 ...

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ژورنال

عنوان ژورنال: Issues of radio electronics

سال: 2019

ISSN: 2218-5453

DOI: 10.21778/2218-5453-2019-10-52-55