FFT (Fast Fourier Transform) - a method for phase continuation

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SUMMARY

The discussion focuses on the Fast Fourier Transform (FFT) and the challenge of obtaining a continuous phase spectrum, which typically ranges from -π to π. Participants explore methods to address discontinuities in the phase spectrum that arise when values exceed this range. The need for a reliable technique to achieve phase continuation is emphasized, with references to existing literature that discusses potential solutions.

PREREQUISITES
  • Understanding of Fast Fourier Transform (FFT) principles
  • Knowledge of phase spectra and their properties
  • Familiarity with mathematical concepts such as discontinuities and periodic functions
  • Experience with signal processing techniques
NEXT STEPS
  • Research methods for phase unwrapping in FFT analysis
  • Explore algorithms for continuous phase spectrum generation
  • Study relevant literature on phase continuation techniques
  • Learn about the application of FFT in signal processing software like MATLAB or Python's NumPy
USEFUL FOR

Signal processing engineers, researchers in applied mathematics, and anyone involved in analyzing frequency domain data using FFT techniques.

petol
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Hello everyone,
Finding a good query to find an answer in www search engines isn't as easy as I thought. The subject is very narrow and sophisticated.
When one performs a FFT, he/she/IT ;) gets the amplitude and phase spectra. The phase spectrum ranges from -PI to PI. Then, there are of course places where the phase spectrum is discontinuous because it exceeds the range. How to obtain such continuous phase spectrum? Does anyone know the idea for this?
Kind Regards
 
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Maybe this picture will help. I duplicated the same phase spectrum several times and shifted n*PI each.
I'm looking for such method because I've seen it in some paper works.
 

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