Re:Breakthrough in inverse Laplace transform procedures
by teleforce on Friday June 19, 2020 @12:08PM
(#23575843)
For a good explanation on Laplace Transform please check the video presentation link that I've provided in my other comments.
As for the Laplace Transform, it is mainly use in control system applications where the input/output include transient/damping/forcing signal waveforms (on and off unit circle) not only clean steady state signal waveforms (on unit circle). This paper provides a good overview of the sample usages of a Laplace Transform in Electrical and Electronics Engineering [1].
If what you meant by the duality Fourier Transform as FFT/IFFT, Laplace Transform has the equivalent in the form of Chirp-Z Transform (CZT) and recently discovered inverse CZT (ICZT), and the original HN discussions link of the discovery is also provided in my other comments. For CZT/ICZT potential useful application please check the other/older HN topic comments in [2].
Perhaps we should just wait and watch for the torrent of patent filings on this CZT/ICZT topic if the claim of ICZT is really true and feasible.
As for the Laplace Transform, it is mainly use in control system applications where the input/output include transient/damping/forcing signal waveforms (on and off unit circle) not only clean steady state signal waveforms (on unit circle). This paper provides a good overview of the sample usages of a Laplace Transform in Electrical and Electronics Engineering [1].
If what you meant by the duality Fourier Transform as FFT/IFFT, Laplace Transform has the equivalent in the form of Chirp-Z Transform (CZT) and recently discovered inverse CZT (ICZT), and the original HN discussions link of the discovery is also provided in my other comments. For CZT/ICZT potential useful application please check the other/older HN topic comments in [2].
Perhaps we should just wait and watch for the torrent of patent filings on this CZT/ICZT topic if the claim of ICZT is really true and feasible.
[1]http://sces.phys.utk.edu/~moreo/mm08/sarina.pdf
[2]https://news.ycombinator.com/item?id=21232296