Signal magnitude area - Alchetron, The Free Social Encyclopedia

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 , … , x n } matching a time length T, the SMA

x sma = ∑ 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 sma = 1 T ∫ 0 T | x ( t ) − a x | + | y ( t ) − a y | + | z ( t ) − a z | d t

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