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arXiv · 1406.2076

Doppler Tolerance, Complementary Code Sets and the Generalized Thue-Morse Sequence

Hieu D. Nguyen·Greg E. Coxson
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Abstract

We generalize the construction of Doppler-tolerant Golay complementary waveforms by Pezeshki-Calderbank-Moran-Howard to complementary code sets having more than two codes. This is accomplished by exploiting number-theoretic results involving the sum-of-digits function, equal sums of like powers, and a generalization to more than two symbols of the classical two-symbol Prouhet-Thue-Morse sequence.

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Hieu D. Nguyen, Greg E. Coxson. 2014-06-09. Doppler Tolerance, Complementary Code Sets and the Generalized Thue-Morse Sequence. https://arxiv.org/abs/1406.2076

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