A Mixing of Prouhet-thue-morse Sequences and Rademacher Functions

@inproceedings{Nguyen2014AMO,
  title={A Mixing of Prouhet-thue-morse Sequences and Rademacher Functions},
  author={Hieu D. Nguyen},
  year={2014}
}
A novel generalization of the Prouhet-Thue-Morse sequence to binary ±1-weight sequences is presented. Derived from Rademacher functions, these weight sequences are shown to satisfy interesting orthogonality and recurrence relations. In addition, a result useful in describing these weight sequences as sidelobes of Doppler tolerant waveforms in radar is established. 

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