Signal magnitude area

For other uses, see RMS.

In mathematics, the signal magnitude area (abbreviated SMA or sma) is a statistical measure of the magnitude of a varying quantity.

Definition

The SMA value of a set of values (or a continuous-time waveform) is the normalized integral of the original values.

In the case of a set of n values $\{x_1,x_2,\dots ,x_n\}$ matching a time length T, the SMA

$x_{\text{sma}}=\sum _{i=1}^n{x}_i$

In the continuous domain, we have for example, with a 3-axis signal with an offset correction a for each axis, the following equation:

$f_{\text{sma}}=\frac{1}{T}\underset{0}{\overset{T}{\int }}|x(t)-a_x|+|y(t)-a_y|+|z(t)-a_z|dt$

See also

• Root mean square