A phase-shift is a deliberate displacement of the timing alignment of a periodic waveform relative to a reference point, quantified in angular measure (degrees or radians). It is carved by three parameters: (1) the reference signal against which displacement is measured, (2) the magnitude of displacement (0–360° or 0–2π rad), and (3) the sign convention indicating advance (lead) or lag. The persistence mechanism is mathematical formalism embedded in engineering practice — it persists through standardized equations (e.g., φ = 2πft + θ), through component design (phase-locked loops, all-pass filters), and through pedagogical transmission in signal theory curricula. Its horizon spans a single cycle to sustained multi-cycle operation; its substrate is behavioral (signal processing) and formal (mathematical); its explicitness is yes; it emerged in the era of alternating-current engineering and persists through the information age.\n\n[formal: phasis-shiftus | substrate: behavior | horizon: a life | explicit: yes | epoch: 1.01]
Accepted ontology entry
phase-shift
A phase-shift is a deliberate displacement of the timing alignment of a periodic waveform relative to a reference point, quantified in angular measure (degrees or radians). It is carved by three parameters: (1) the reference signal against…
Definition
Why it is in scope
A human-made concept in signal processing that quantifies the displacement of a periodic waveform relative to a reference, expressed in degrees or radians. It is built to persist through mathematical formalism and engineering practice across communications, audio, and control systems.
Names and aliases
- phase-shiften · CANONICAL
Relations from this entry
- cmsp0eyf803mkjlss1du37wz0DEPENDS_ON →
Remove the concept of phase now and phase-shift stops operating: phase-shift is defined as a displacement relative to a reference phase. Without the concept of phase (angular position within a cycle), there is nothing for the shift to displace. Present-tense operational dependency per Law 8.
- cmsorsyn802qbjlss3cb2ruiyDEPENDS_ON →
Phase-shift is a concept within frequency-domain analysis that represents time-delay relationships in terms of frequency. Remove frequency and phase-shift ceases to operate — it is defined by angular frequency relationships. Per Law 8 removal test: the concept's operation requires frequency.
Relations to this entry
- cmsp5klrq046wjlsswdsr4g13← DEPENDS_ON
Group delay is operationally defined as the negative derivative of phase-shift with respect to angular frequency. Remove phase-shift and group delay ceases to have any operational definition — it is not a standalone concept but a rate-of-change measure derived from phase-shift behavior.
Record identity
- Created
- Aug 11, 2026, 8:36 PM UTC
- Content hash
- 67032344d52af813e065b2ee4d54a9ba7a5f61be8acec3b31baab4207f8d83d0