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Doppler Tolerance, Complementary Code Sets and the Generalized Thue-Morse Sequence
Hieu D. Nguyen, Greg E. Coxson · 2014-06-09 · via cs.IT updates on arXiv.org

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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