Conclusion Through this chapter, we presented a first class of time-frequency distributions of non-stationary signals. These distributions decompose the signal on a basis of elementary signals (the atoms) which have to be well localized in time and in frequency. Two well known examples of such decompositions are the short-time Fourier transform and the wavelet transform. After having considered their properties, we discussed their formulation in the discrete case. Finally, we presented a natural transition from this class of representations to the class of energy distributions.
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