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Allusion is made below to recent work on the production of undamped trains of electric waves.
Poulsen's method of producing continuous or undamped electrical waves has been applied by him in radio-telegraphy.
For undamped sinusoids, the signal space can be inferred from the complex roots found with a magnitude very close to 1.0.
This allows routine computation of undamped vibration of any linear structure, for example by Finite Element methods.
There are also three Undamped Algorithms for fitting sinusoids via a modification of the least-squares Prony method.