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In
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
, the signal magnitude area (abbreviated SMA or sma) is a
statistical Statistics (from German: ''Statistik'', "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industria ...
measure of the magnitude of a varying quantity.


Definition

The SMA value of a set of values (or a
continuous-time In mathematical dynamics, discrete time and continuous time are two alternative frameworks within which variables that evolve over time are modeled. Discrete time Discrete time views values of variables as occurring at distinct, separate "po ...
waveform) is the normalized integral of the original values. In the case of a set of ''n'' values \ matching a time length ''T'', the SMA : x_\text = \sum_^n x_i In the continuous domain, we have for example, with a 3-axis signal with an offset correction ''a'' for each axis, the following equation: : f_\text= \int_0^T , x(t)-a_x, +, y(t)-a_y, +, z(t)-a_z, \, dt


See also

*
Root mean square In mathematics and its applications, the root mean square of a set of numbers x_i (abbreviated as RMS, or rms and denoted in formulas as either x_\mathrm or \mathrm_x) is defined as the square root of the mean square (the arithmetic mean of the ...


References

{{Reflist Computational statistics