MP is described as a "unifying" method because it consolidates several advantages that were previously fragmented across different techniques: Matching Pursuits in EEG Analysis - ASEE PEER

: Unlike standard Fourier or Wavelet transforms, MP adjusts its "analysis window" to fit the actual structure of the signal, allowing it to capture both long-lasting rhythms and very short transients. The Path to Unification

: It typically employs a Gabor dictionary (Gaussian envelopes modulated by sine waves) because these functions achieve the lower bound of the uncertainty principle, providing the most concentrated time-frequency representation.