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

  title={A Mixing of Prouhet-thue-morse Sequences and Rademacher Functions},
  author={Hieu D. Nguyen},
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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Showing 1-10 of 13 references

Prouhet’s 1851 Solution of the Tarry-Escott Problem of 1910

  • E. M. Wright
  • Amer. Math. Monthly
  • 1959
Highly Influential
4 Excerpts

Lehmer, The Tarry-Escott Problem

  • D H.
  • Scripta Math.,
  • 1947
Highly Influential
4 Excerpts

Haloupek, Construction of Complementary Code Matrices for Waveform Design

  • W.G.E. Coxson
  • IEEE Transactions on Aerospace and Electronic…
  • 2013

Complementary Waveforms for Sidelobe Suppression and Radar Polarimetry, Principles of Waveform Diversity and Design

  • Y. C. Chi, A. Pezeshki, A. R. Howard
  • SciTech Publishing,
  • 2011
3 Excerpts

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