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Biomedical Engineering – From Theory to Applications

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<strong>Biomedical</strong> Signal Transceivers<br />

corresponds <strong>to</strong> the range of frequencies of the measured bioelectric signal. When designing<br />

the overall circuit, commonly the high pass filter is placed before the low pass filter.<br />

High pass filter design is quite straightforward. Since a high pass filter will pass any<br />

frequency above the cut off frequency, the filter theoretically has an infinite frequency<br />

response. As such, if one was <strong>to</strong> design an active high pass filter, op amp utilized in the<br />

design may limit this response, as the op amp has a maximum frequency output. Therefore<br />

from a theoretical view, a passive filter will have the best response. In all practicality, this is<br />

not the case, but high pass active filters are still important <strong>to</strong> use, as they still can be<br />

effective. Depending on the bioelectric signal being measured, a simple RC passive filter can<br />

be sufficient. An example of a passive high pass filter is displayed in Figure 4.<br />

Fig. 4. Passive high pass filter<br />

There are several possible common designs for the low pass filter. These include both active<br />

and passive filters. For these filters, there are several common types, including: Butterworth<br />

and Chebyshev. Each filter type has several configurations, with both active and passive<br />

designs. More commonly, for the low pass filter, an active configuration is utilized. As well,<br />

the Butterworth filter is typically used as it has an advantageous flat frequency response.<br />

There is also a choice of the filter order and configuration of the Butterworth Filter. Figure 5<br />

shows a first order Butterworth low pass filter.<br />

Fig. 5. First Order Butterworth Low Pass Filter<br />

Typically, a filter with only a few orders will be utilized due <strong>to</strong> speed, cost, and space. A<br />

first order low pass Butterworth filter is perfectly acceptable choice for most applications.<br />

Another designer choice is the configuration of the filter. For active Butterworth filter, the<br />

Sallen-Key <strong>to</strong>pology is an excellent choice. It allows for multiple orders, using only two op<br />

amps and several passive components. The design for the third order Butterworth filters is<br />

quite complex, and it involves calculating all values for the resis<strong>to</strong>rs and capaci<strong>to</strong>rs. There<br />

are several software packages that aide in the creation of these complex active filters.<br />

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