In this paper, a phase-aware HPSS method through convex optimization was proposed. Based on two HPSS approaches (anisotropic smoothness and sinusoidal model), the proposed method assumes the smoothness of the complex-valued spectrogram of harmonic components calculated by iPC-STFT in the time direction. On the other hand, the time-frame-wise sparsity of percussive spectrograms was considered as a phase insensitive prior. Furthermore, the proposed method considers the perfect reconstruction constraint in the time domain instead of power spectrograms.
Through the experiment, the effectiveness of the proposed method was validated in terms of SDR. The experimental results indicated the accurate estimation of the instantaneous frequency of harmonic components can improve the performance of the proposed method, which is included in our future works.