| Hi-index | 35.68 |
Using the orthogonal-like Gabor expansion, the authors decompose the Wigner-Ville distribution (WVD) to a linear combination of localized and symmetric functions WVDh, h' (t, w), the WVD of the Gabor elementary functions, hm, n(t) and hm'n'(t). Since the influence of the WVDh, h'(t, w) to the useful properties is inversely proportional to the distance between hm, n (t) and hm', n't, the WVDh, h'(t, w) are further grouped as a series of the function Pd(t, w). The authors name the resulting representation the time-frequency distribution series (TPDS) (also known as the Gabor spectrogram in industry). The TFDSD consists of up to a Dth order Pd(t, w). While TFDS0(t, w)=P0(t, w) is similar to the spectrogram, TFDS∞(t, w) converges to the WVDs (t, w). Numerical simulations demonstrate that adjusting the order D of the TFDS, one could effectively balance the cross-term interference and the useful properties