Corpus ID: 53577971

Fake Superoscillations.

  title={Fake Superoscillations.},
  author={N. Barrera and Eyal Samoi and M. Schwartz},
  journal={arXiv: Quantum Physics},
  • N. Barrera, Eyal Samoi, M. Schwartz
  • Published 2019
  • Mathematics, Physics
  • arXiv: Quantum Physics
  • We construct a signal from "almost" pure oscillations within some low frequency band. We construct it to produce a superoscillation with frequency above the nominal band limit. We find that indeed the required high frequency is produced but the signal is not a superoscillation as the high frequency components are real and result from an intriguing interference in the frequency domain of the tails of Gaussians concentrated around points within the nominal frequency band. 

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