Fake Superoscillations
Noemi Barrera, Eyal Samoi, Moshe Schwartz
TL;DR
This paper demonstrates the construction of signals that appear to oscillate faster than their highest frequency component, revealing that such superoscillations are due to interference effects rather than true high-frequency content.
Contribution
The authors show how to construct signals with superoscillations from low-frequency components, clarifying the nature of superoscillations and their underlying interference mechanisms.
Findings
High-frequency components are real and result from interference.
Superoscillations are not genuine high-frequency signals.
Interference in Gaussian tails explains superoscillation phenomena.
Abstract
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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Taxonomy
TopicsQuantum Mechanics and Applications · Atomic and Subatomic Physics Research · Radioactive Decay and Measurement Techniques