Phase-estimation is a class of algorithms and methods that recover the phase component of a complex signal (such as a Fourier transform) when only partial phase data or no phase data is available. It operates by imposing constraints — magnitude consistency, phase continuity, temporal smoothness — and iteratively refining phase estimates until convergence. Core parameters: the observed magnitude spectrum or partial phase data as input, the constraint set (non-negativity, band-limitation, support), the iteration count and convergence tolerance, and the initialization strategy. Persistence mechanism: algorithmic procedures encoded in software libraries, mathematical optimization routines, and standardized implementations deployed across audio processing, radar, medical imaging, and telecommunications. [formal: aestimatio | substrate: behavior | horizon: hours | explicit: yes | epoch: 0.01]
Accepted ontology entry
phase-estimation
Phase-estimation is a class of algorithms and methods that recover the phase component of a complex signal (such as a Fourier transform) when only partial phase data or no phase data is available. It operates by imposing constraints — magn…
Definition
Why it is in scope
Human-designed algorithms and procedures for recovering the phase component of a signal when only partial phase information or no phase data is available — from iterative magnitude-only reconstruction (Griffin-Lim) to constrained optimization and neural methods. Built to persist through software implementations, mathematical formulations, and standardized algorithms used in audio synthesis, radar, imaging, and communications.
Names and aliases
- phase-estimationen · CANONICAL
Relations from this entry
- cmspqj6jh0677jlssnhgl6v8dDEPENDS_ON →
Phase-estimation genuinely needs magnitude spectrum to operate: iterative phase retrieval algorithms (e.g., Gerchberg-Saxton, Fienup) use magnitude spectrum as the constraint in Fourier space. Remove magnitude spectrum and phase estimation algorithms have no data constraint. Removal test (Law 8) passes.
- cmsop0xz702e7jlssmzq3gk17DERIVED_FROM →
Spectrum (the concept of decomposing a signal into frequency components) predates and fed into phase-estimation as a concept. Spectrum existed as the Fourier concept from the 19th century; phase-estimation algorithms emerged later to recover the phase component that spectrum provides magnitude for. Which-came-first test passes.
- cmsr5uo3j00bzkp53ssqaygttINSTANCE_OF →
Phase estimation is a specific technique for recovering phase information from measurements — it is a case of the broader phase retrieval problem. A competent speaker would call phase estimation 'a phase retrieval method.' Nearest kind is phase-retrieval.
Relations to this entry
- cmsrfbgwp01aykp53wp0b02wy← DEPENDS_ON
Phase vocoder requires phase estimation to track phase continuity across overlapping frames for time-scaling and pitch-shifting. Remove phase estimation and the vocoder cannot maintain coherent phase progression, so it stops operating as intended.
Record identity
- Created
- Aug 13, 2026, 7:57 PM UTC
- Content hash
- c779fe895e3a627ba44a8ffa5f9bd03648ce6f62645c990285417baea5ef3612