fasedonnoise

Fasedonoise is a term used in discussions of signal processing and experimental physics to describe a hypothetical dependence of noise characteristics on the instantaneous phase of a periodic signal. In this usage, the noise power or statistical properties are not stationary with respect to phase, but vary as a function of phase within each cycle.

Formally, one can write Var[n(t) | φ] = g(φ), where φ(t) is the phase of the reference signal. More generally, the joint distribution of noise and phase may exhibit phase-locked correlations. This concept contrasts with the common assumption of phase-insensitive or white noise, where noise statistics are independent of φ.

Applications and relevance: in precision metrology, optical interferometry, and electronics, phase-dependent noise can limit sensitivity. Understanding fasedonoise can improve lock-in detection, synchronous sampling, and detector whitening by accounting for noise variations over the cycle. It is sometimes discussed alongside phase noise and colored noise as part of a broader view of nonstationary noise phenomena.

Measurement and estimation: practitioners estimate the phase-resolved noise by binning data by φ, computing variance or power spectral density as a function of phase, or fitting a model g(φ). Challenges include accurate phase tracking and obtaining a sufficient amount of data to produce stable estimates.

Notes: fasedonoise is not a standard, widely adopted term in the literature. It is used informally to describe phase-dependent noise behavior and may be considered a heuristic or model concept rather than a formal statistical construct.