diaamplitudi

Diaamplitudi is a theoretical metric used to quantify how much the amplitude of a signal varies within a given domain. It is not a standard term in established references but appears in theoretical discussions of signal variability and in speculative or interdisciplinary contexts as a way to capture dynamic richness in waveforms.

Definition and variants. In time domain, diaamplitudi D over an interval [t1, t2] can be defined as D = sqrt( (1/(t2 - t1)) ∫_{t1}^{t2} (A(t) - μA)^2 dt ), where μA = (1/(t2 - t1)) ∫_{t1}^{t2} A(t) dt is the mean amplitude. A common alternative is D' = (max A - min A)/μA, expressing the relative range of amplitude. The exact formulation depends on the chosen amplitude function A(t) and the intended interpretation.

Implementation notes. A(t) may be the envelope of the analytic signal obtained via the Hilbert transform, or simply the instantaneous amplitude |x(t)| for real-valued signals. The choice of A(t) and the window parameters affect the diaamplitudi value, so practitioners specify the domain, window length, and the method used to derive amplitude.

Applications and relationship. Diaamplitudi is used conceptually to compare modulation depth, dynamic range usage, or amplitude diversity across channels in fields such as audio processing, communications, seismology, and sensor analysis. It relates to standard deviation of amplitude and to envelope variability measures, offering a compact way to summarize amplitude dynamics.

Etymology and status. The term combines dia- (through/across) with amplitude, but it is not widely standardized. Consequently, diaamplitudi’s meaning and preferred usage can vary by discipline, with some authors proposing alternative descriptors for amplitude variability.