Spectrum of a Rudin-Shapiro-like sequence
arXiv:1611.04446 · doi:10.1016/j.aam.2016.12.003
Abstract
We show that a recently proposed Rudin-Shapiro-like sequence, with balanced weights, has purely singular continuous diffraction spectrum, in contrast to the well-known Rudin-Shapiro sequence whose diffraction is absolutely continuous. This answers a question that had been raised about this new sequence.
7 pages