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Structural Health Monitoring Using Smart Sensors - ideals ...

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3<br />

Imote2_2/Imote2_1<br />

Imote2_1/Siglab_1<br />

Siglab2/Siglab1<br />

3<br />

Imote2_2/Imote2_1<br />

Imote2_1/Siglab_1<br />

Siglab2/Siglab1<br />

Magnitude of transfer function<br />

2<br />

1<br />

Magnitude of transfer function<br />

2<br />

1<br />

0<br />

0 20 40 60 80 100 120 140<br />

Frequency (Hz)<br />

3<br />

(a) longitudinal<br />

Imote2_2/Imote2_1<br />

Imote2_1/Siglab_1<br />

Siglab2/Siglab1<br />

0<br />

0 20 40 60 80 100 120 140<br />

Frequency (Hz)<br />

(b) transverse<br />

Magnitude of transfer function<br />

2<br />

1<br />

0<br />

0 20 40 60 80 100 120 140<br />

Frequency (Hz)<br />

(c) vertical<br />

Figure 7.17. Magnitude of transfer function among Imote2s and reference sensors.<br />

that signals from the same data acquisition system are close to each other, but signals from<br />

the Imote2 and the Siglab spectrum analyzer have noticeable differences. The transfer<br />

functions for the longitudinal acceleration fluctuate considerably, indicating that the four<br />

signals have discrepancies. In terms of the transfer functions, the longitudinal acceleration<br />

measurements seem to be noisy, though the problem is not only specific to Imote2s but<br />

also for the PCB accelerometers.<br />

Imote2 and PCB accelerometer signals are also compared in terms of coherence (see<br />

Figure 7.18). While the transfer function magnitude can detect frequency-dependent<br />

amplification factors in two signals, the coherence function indicates the degree of<br />

linearity between two signals. Signals that are linearly related result in a coherence<br />

function that is one over all frequencies. Small values in the coherence function, on the<br />

other hand, suggest nonlinearity or noisy measurements in the corresponding frequency<br />

range. Vertical and transverse accelerations show coherence functions close to one. The<br />

gradual drop of the coherence function between an Imote2 and PCB accelerometer signals<br />

may indicate imperfect time synchronization between the two signals. Coherence<br />

functions for the longitudinal acceleration are small in some frequency ranges. The<br />

116

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