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Introduction to Sports Biomechanics: Analysing Human Movement ...

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INTRODUCTION TO SPORTS BIOMECHANICS<br />

270<br />

Average rectified EMG<br />

The average rectified EMG is the average value of the full-wave rectified EMG, and<br />

is easily computed from a digital signal by adding the individual EMG values for<br />

each sample and dividing by the sample time. This is recommended by SENIAM for<br />

amplitude estimation of the EMG in non-dynamic contractions. The average rectified<br />

EMG is closely related <strong>to</strong> the integrated EMG (see below). As for other amplitude<br />

estima<strong>to</strong>rs of the EMG, the average rectified EMG is affected by the number of active<br />

mo<strong>to</strong>r units; the firing rates of mo<strong>to</strong>r units; the amount of signal cancellation by<br />

superposition; and the waveform of the MUAP. The last of these depends upon<br />

electrode position, muscle fibre conduction velocity, the geometry of the detecting<br />

electrode surfaces and the detection volume.<br />

Root mean square EMG<br />

The RMS EMG is the square root of the average power (voltage squared) of the signal<br />

in a given time. It is easily computed from a digital signal by adding the squares of the<br />

individual EMG values for each sample, then taking the square root of the sum before<br />

dividing by the sample time. It is considered <strong>to</strong> provide a measure of the number of<br />

recruited mo<strong>to</strong>r units during voluntary contractions where there is little correlation<br />

among mo<strong>to</strong>r units. This is also recommended by SENIAM for amplitude estimation<br />

of the EMG in non-dynamic contractions.<br />

Integrated EMG<br />

This is simply the area under the rectified EMG signal. It is not recommended at all by<br />

SENIAM and is mentioned here only because of its wide use – and abuse – in earlier<br />

research.<br />

Smoothed, rectified EMG<br />

The standard way of obtained the smooth, rectified EMG is by the use of a linear<br />

envelope detec<strong>to</strong>r (hence another name for this estima<strong>to</strong>r, the ‘linear envelope’), comprising<br />

a full-wave rectifier plus a low-pass filter. This is a simple method of quantifying<br />

signal intensity and gives an output (Figure 6.23(c)) that, it is claimed, follows the trend<br />

of the muscle tension curve with no high-frequency components. It is the only intensity<br />

detec<strong>to</strong>r recommended by SENIAM for dynamic contractions – which predominate in<br />

sport – because of the statistical properties of such contractions.<br />

The main issue with this estima<strong>to</strong>r is the choice of the epoch duration, which, for<br />

this estima<strong>to</strong>r, is related <strong>to</strong> the filter cut-off frequency (see also Chapter 4). A low cut-off<br />

frequency gives a reliable estimate of the signal intensity for ‘stationary’ activation of the<br />

muscle – this is a statistical term meaning, roughly, that the statistical properties of the<br />

activation signal do not change with time, not that the activation is constant. However,<br />

the amplitude estimates with a low cut-off frequency are inaccurate if the activation

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