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handbook of modern sensors

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5.9 Noise in Sensors and Circuits 211<br />

Since f(s 0 ) is constant, the ratio is not temperature dependent. It should be emphasized,<br />

however, that the ratiometric technique is useful only when the anticipated<br />

noise has a multiplicative nature, whereas a differential technique works only for<br />

additive transmitted noise. Neither technique is useful for inherent noise, which is<br />

generated internally in <strong>sensors</strong> and circuits.<br />

Although inherent noise is mostly Gaussian, the transmitted noise is usually less<br />

suitable for conventional statistical description. Transmitted noise may be periodic,<br />

irregularly recurring, or essentially random, and it ordinarily may be reduced substantially<br />

by taking precautions to minimize electrostatic and electromagnetic pickup<br />

from power sources at line frequencies and their harmonics, radio broadcast stations,<br />

arcing <strong>of</strong> mechanical switches, and current and voltage spikes resulting from switching<br />

in reactive (having inductance and capacitance) circuits. Such precautions may<br />

include filtering, decoupling, shielding <strong>of</strong> leads and components, use <strong>of</strong> guarding<br />

potentials, elimination <strong>of</strong> ground loops, physical reorientation <strong>of</strong> leads, components,<br />

and wires, use <strong>of</strong> damping diodes across relay coils and electric motors, choice <strong>of</strong> low<br />

impedances where possible, and choice <strong>of</strong> power supply and references having low<br />

noise. Transmitted noise from vibration may be reduced by proper mechanical design.<br />

A list outlining some <strong>of</strong> the sources <strong>of</strong> transmitted noise, their typical magnitudes,<br />

and some ways <strong>of</strong> dealing with them is shown in Table 5.4.<br />

The most frequent channel for the coupling <strong>of</strong> electrical noise is a “parasitic”<br />

capacitance. Such a coupling exists everywhere. Any object is capacitively coupled<br />

to another object. For instance, a human standing on isolated earth develops a capacitance<br />

to ground on the order <strong>of</strong> 700 pF, electrical connectors have a pin-to-pin<br />

capacitance <strong>of</strong> about 2pF, and an optoisolator has an emitter-detector capacitance <strong>of</strong><br />

about 2 pF. Figure 5.48A shows that an electrical noise source is connected to the<br />

sensor’s internal impedance Z through a coupling capacitance C S . That impedance<br />

Table 5.4. Typical Sources <strong>of</strong> Transmitted Noise<br />

External Source Typical Typical Cure<br />

Magnitude<br />

60/50 Hz power 100 pA Shielding; attention to ground loops;<br />

isolated power supply<br />

120/100 Hz supply ripple 3 µV Supply filtering<br />

180/150 Hz magnetic pickup from<br />

saturated 60/50-Hz transformers 0.5 µV Reorientation <strong>of</strong> components<br />

Radio broadcast stations 1 mV Shielding<br />

Switch arcing 1 mV Filtering <strong>of</strong> 5–100-MHz components;<br />

attention to ground loops and shielding<br />

Vibration 10 pA Proper attention to mechanical coupling;<br />

(10–100 Hz) elimination <strong>of</strong> leads with large voltages<br />

near input terminals and <strong>sensors</strong><br />

Cable vibration 100 pA Use a low-noise (carbon-coated dielectric)<br />

cable<br />

0.01-10 pA/Hz Clean board thoroughly; use Teflon insulation<br />

Circuit boards below 10 Hz where needed and guard well<br />

Source: Adapted from Ref. [13].

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