Acoustic Application of Phase Reconstruction Algorithms in Optics

Abstract

Phase reconstruction from amplitude spectrograms has attracted attention in recent acoustics because of its potential applications in speech synthesis and enhancement. The most well-known algorithm in acoustics is based on alternating projection and called Griffin– Lim algorithm (GLA). At the same time, GLA is known as the Gerchberg–Saxton algorithm in optics, and a lot of its variants have been proposed independently of those in acoustics. In this paper, we propose to apply phase reconstruction algorithms developed in the optics community to acoustic applications and evaluate them using acoustical metrics. Specifically, we propose to apply the averaged alternating reflections (AAR), relaxed AAR (RAAR), and hybrid input-output (HIO) algorithms to acoustic signals. Our experimental results suggested that RAAR has enough potential for acoustic applications because it clearly outperformed GLA.