Product of Two Time-Frequency Representations

Each time-frequency representation (TFR) has both its own advantages and disadvantages for nonstationary signal analysis. In this paper, an algorithm, nominated as product method, is proposed, which gains one new TFR by the product of two TFRs and integrates their advantages for some applications, especially keeps Wigner distribution's (WD's) auto-term concentration and reduces the crossterms. Potential applications to some TFRs are discussed, such as short time Fourier transform and its spectrogram, Margenau-Hill-spectrogram distribution and WD. Then some instances illustrate that this simple method is valid and practicable, and has much less computational complexity except for the initial TFRs and better visual effect in virtue of auto-term concentration enhancement and cross-term reduction.