Taylor-Fourier Transform for Dynamic Harmonic Analysis under Oscillations

Thursday, April 08, 2010
7:00 PM
Free and open to the public

We analyze a generalized method for harmonic analysis under oscillations called the Taylor-Fourier Transform (TFT). The TFT always has a lower error than the standard discrete Fourier transform (DFT) method. The TFT also:

  1. reduces inter-harmonic interference,
  2. has coefficients with physical meaning,
  3. locates transients in time,
  4. has maximally flat gains about each harmonic, and
  5. estimates position and derivates of each harmonic.

We propose the use of the TFT in digital communication systems.


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Jose Antonio de la O Serna

Research Professor
State University of Nuevo León<br>Monterrey, Mexico