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Signal magnitude area

From Wikipedia, the free encyclopedia

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

Definition

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The SMA value of a set of values (or a continuous-time waveform) is the normalized integral of the original values. [1][2]

In the case of a set of n values matching a time length T, the SMA

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

See also

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References

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  1. ^ "Matlab compute Normalized Signal Magnitude area".
  2. ^ Chung, W. Y.; Purwar, A.; Sharma, A. (2008). "Frequency domain approach for activity classification using accelerometer, section 3B. Detection Algorithm". pp. 1120–3. arXiv:1107.4417.
  3. ^ "Classifying prosthetic use via accelerometry in persons with transtibial amputations". Journal of Rehabilitation Research & Development. U.S. Department of Veteran Affairs. 2013. Retrieved 2014-10-14.