Continuous frequency and phase spectrograms: a study of their 2D and 3D capabilities and application to musical signal analysis

A new lighting and enlargement on phase spectrogram (PS) and frequency spectrogram (FS) is presented in this paper. These representations result from the coupling of power spectrogram and short time Fourier transform (STFT). The main contribution is the construction of the 3D phase spectrogram (3DPS) and the 3D frequency spectrogram (3DFS). These new tools allow such specific test signals as small slope linear chirp, phase jump and small frequency jump to be analyzed. An application case of musical signal analysis is reported. The main objective is to detect small frequency and phase variations in order to characterize each type of sound attack without losing the amplitude information given by power spectrogram.