Modal Analysis from Random and Compressed Samples

Modal Analysis from Random and Compressed Samples

Alan Turing Institute via YouTube Direct link

Method #2: Atomic norm minimization

17 of 26

17 of 26

Method #2: Atomic norm minimization

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Classroom Contents

Modal Analysis from Random and Compressed Samples

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  1. 1 Intro
  2. 2 Motivation
  3. 3 Data collection
  4. 4 Equations of motion
  5. 5 Free vibration
  6. 6 Modal analysis techniques
  7. 7 Sampling model
  8. 8 Joint sparse frequency estimation
  9. 9 Classical spectral estimation
  10. 10 Method #1: Proper Orthogonal Decomposition
  11. 11 SVD of data matrix
  12. 12 POD considerations
  13. 13 Minimum separation condition
  14. 14 Uniform time sampling
  15. 15 Experiment: Telegraph Bridge data
  16. 16 Experiment, ctd
  17. 17 Method #2: Atomic norm minimization
  18. 18 Synchronous random sampling
  19. 19 Random temporal compression
  20. 20 Random spatial compression
  21. 21 Benefits of compression
  22. 22 Sampling rate scaling
  23. 23 Orthogonality
  24. 24 Synchronous vs. asynchronous
  25. 25 More sensors
  26. 26 Open questions

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