Scaling Properties of Superoscillations and the Extension to Periodic Signals

  title={Scaling Properties of Superoscillations and the Extension to Periodic Signals},
  author={Eugene Tang and Lovneesh Garg and Achim Kempf},
  journal={arXiv: Mathematical Physics},
Superoscillatory wave forms, i.e., waves that locally oscillate faster than their highest Fourier component, possess unusual properties that make them of great interest from quantum mechanics to signal processing. However, the more pronounced the desired superoscillatory behavior is to be, the more difficult it becomes to produce, or even only calculate, such highly fine-tuned wave forms in practice. Here, we investigate how this sensitivity to preparation errors scales for a method for… Expand

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