Corpus ID: 53577971

Fake Superoscillations.

@article{Barrera2019FakeS,
  title={Fake Superoscillations.},
  author={N. Barrera and Eyal Samoi and M. Schwartz},
  journal={arXiv: Quantum Physics},
  year={2019}
}
  • 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. 

    Figures from this paper

    References

    SHOWING 1-10 OF 27 REFERENCES
    Superoscillations: Faster Than the Nyquist Rate
    • 145
    • PDF
    Unusual properties of superoscillating particles
    • 76
    • PDF
    Yield-Optimized Superoscillations
    • 38
    • PDF
    Superoscillations of Prescribed Amplitude and Derivative
    • 22
    • PDF
    Black Holes, Bandwidths and Beethoven
    • 65
    • PDF
    Temporal Pulse Compression Beyond the Fourier Transform Limit
    • 26
    • PDF