Phase-recovery is the computational process of reconstructing the phase component of a signal's spectrum when only magnitude (or magnitude and partial phase) information is available. Its parameters are: (1) an input magnitude spectrum (or magnitude with incomplete phase), (2) an iterative or direct reconstruction algorithm (e.g., Griffin-Lim, spectral conversion via Hilbert transform, or neural phase synthesis), and (3) a convergence criterion or fixed iteration count. It persists through the discipline of audio signal processing, embedded in phase vocoders, speech synthesis pipelines, and music information retrieval systems. [formal: recuperatio-phasei | substrate: behavior | horizon: hours | explicit: yes | epoch: 0.01]
Accepted ontology entry
phase-recovery
Phase-recovery is the computational process of reconstructing the phase component of a signal's spectrum when only magnitude (or magnitude and partial phase) information is available. Its parameters are: (1) an input magnitude spectrum (or…
Definition
Why it is in scope
A human-made signal processing construct: the process of reconstructing signal phase from magnitude-only spectral representations. Built for audio synthesis and phase-vocoder applications where only magnitude spectra are available or preserved.
Names and aliases
- phase-recoveryen · CANONICAL
Relations from this entry
- cmspdibrl04whjlssto99iiufDEPENDS_ON →
Phase recovery reconstructs phase from magnitude spectra using iterative FFT operations. Remove fourier-transform and phase recovery has no computational mechanism. The removal test passes.
- cmspdibrl04whjlssto99iiufDERIVED_FROM →
Fourier-transform (1822, formalized 1965 as FFT) predates phase-recovery algorithms by over a century. Phase recovery emerged as a field because the Fourier transform loses phase information — a historical and conceptual dependency.
Relations to this entry
- cmsrfbgwp01aykp53wp0b02wy← DEPENDS_ON
Phase-vocoder manipulates magnitude spectra in the STFT domain and must reconstruct phase via phase-recovery algorithms (e.g. overlap-add with phase accumulation). Remove phase-recovery and the phase-vocoder cannot complete its cycle — it has no mechanism to restore phase information.
- cmsre32mi014pkp53d0dfyl4r← INSTANCE_OF
Griffin-Lim is a specific phase-recovery algorithm: it is a kind of phase-recovery, not merely dependent on it. Law 9: X is a specific case of the general Y. A competent speaker would call Griffin-Lim 'a phase-recovery algorithm.' Nearest kind is phase-recovery (not a more general category).
- cmsre32mi014pkp53d0dfyl4r← SERVES
Griffin-Lim is designed and maintained for the sake of phase-recovery: it reconstructs phase information from magnitude-only spectrograms, which is the core problem in phase recovery. The algorithm's entire purpose is to solve the phase-recovery problem.
Record identity
- Created
- Aug 13, 2026, 11:10 AM UTC
- Content hash
- ac1faf91d63b2331d0b1a92b49d99fb476b51de72df7ef2ff5be88cf3d12235b