Comments on “Primary-Ambient Extraction Using Ambient Spectrum Estimation for Immersive Spatial Audio Reproduction”

In the above paper, He et al. propose a primary-ambient extraction method using ambient phase estimation with a sparsity constraint (APES). The primary-ambient extraction problem is formulated as a $L1$-norm minimization of the primary component with respect to the phase of the ambient component, based on a stereo signal model they have assumed. Discrete searching (DS) is proposed as the approach for solving the APES in each time-frequency bin, which is computationally complicated and potentially imprecise. This correspondence provides an analytical solution to the APES by exploring the geometric relation between the primary and ambient components in a rotated coordinate.