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Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Waveform information from quantum mechanical entropy.

Scott Funkhouser1, William Suski1, Andrew Winn2

  • 1Research and Applied Sciences, Space and Naval Warfare Systems Center Atlantic , North Charleston, SC 29419, USA.

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Summary
This summary is machine-generated.

We introduce a novel method for quantifying information in real waveforms using Fourier-conjugated total entropy. This approach offers a meaningful measure of information, showing sensitivity to randomness and potential for weak signal detection.

Keywords:
information entropyinformation theorysignal analysis

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Area of Science:

  • Signal Processing
  • Information Theory
  • Quantum Mechanics

Background:

  • Quantifying information in signal waveforms is challenging as entropy is technically zero.
  • Existing entropic measures often lack general success for real waveforms.

Purpose of the Study:

  • To develop a robust entropic measure for quantifying information in non-probabilistic real waveforms.
  • To adapt quantum-mechanical concepts for analyzing classical signal information.

Main Methods:

  • Utilized Fourier-conjugated 'total entropy' derived from quantum-mechanical probabilistic amplitude functions (PAFs).
  • Applied the method to both the real waveform and its normalized analytic representation as PAFs.
  • Performed detailed numerical calculations across various rudimentary scenarios.

Main Results:

  • Demonstrated that Fourier-conjugated total entropy provides a meaningful information measure for real waveforms.
  • Observed expected informatic behaviors in numerical simulations.
  • Highlighted sensitivity to the degree of randomness in pulse sequences.

Conclusions:

  • Fourier-conjugated total entropy is a viable information quantification tool for real waveforms.
  • The method shows potential for detecting weak signals.
  • This approach bridges quantum information concepts with classical signal analysis.