A Mixing of Prouhet-Thue-Morse Sequences and Rademacher Functions
classification
🧮 math.NT
keywords
sequencesweightfunctionsprouhet-thue-morserademacheradditionbinaryderived
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A novel generalization of the Prouhet-Thue-Morse sequence to binary $\pm 1$-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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