sentences:  Pioneering work on the method of reassignment was published by Kodera, Gendrin, and de Villedary under the name of "Modified Moving Window Method"  Their technique enhances the resolution in time and frequency of the classical Moving Window Method (equivalent to the spectrogram) by assigning to each data point a new time-frequency coordinate that better-reflects the distribution of energy in the analyzed signal.In the classical moving window method, a time-domain signal, formula_1 is decomposed into a set of coefficients, formula_2, based on a set of elementary signals, formula_3, defined
  
  where formula_5 is a (real-valued) lowpass kernel function, like the window function in the short-time Fourier transform.The coefficients in this decomposition are defined
  
  where formula_7 is the magnitude, and formula_8 the phase, of formula_9, the Fourier transform of the signal formula_1 shifted in time by formula_11 and windowed by formula_5.