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handbook of modern sensors

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172 5 Interface Electronic Circuits<br />

(A)<br />

(B)<br />

Fig. 5.19. Square-wave oscillators: (A) with two logic inverters; (B) with a comparator or<br />

OPAM.<br />

When the voltage at its input crosses the threshold, the inverter generates the output<br />

signal <strong>of</strong> the opposite direction; that is, if the input voltage is ramping up, at the<br />

moment when it reaches one-half <strong>of</strong> the power supply, the output voltage will be a<br />

negative-going transient. Timing properties <strong>of</strong> the oscillator are determined by the<br />

resistor R and the capacitor C. Both capacitors should be <strong>of</strong> the same value. Stability<br />

<strong>of</strong> the circuit primarily depends on the stabilities <strong>of</strong> the R and C.<br />

A very popular square-wave oscillator (Fig. 5.19B) can be built with one OPAM<br />

or a voltage comparator. 2 The amplifier is surrounded by two feedback loops: one is<br />

negative (to an inverting input) and the other is positive (to a noninverting input). The<br />

positive feedback (R 3 ) controls the threshold level, and the negative loop charges<br />

and discharges the timing capacitor C 1 , through the resistor R 4 . The frequency <strong>of</strong> this<br />

oscillator can be determined from<br />

f = 1 [ (<br />

ln 1 + R )] −1<br />

1||R 2<br />

, (5.22)<br />

R 4 C 1 R 3<br />

where R 1 ||R 2 is an equivalent resistance <strong>of</strong> parallel-connected R 1 and R 2 .<br />

The two circuits (A and B) shown in Fig. 5.20 can generate sine-wave signals.<br />

They use the n-p-n transistors as amplifiers and the LC networks to set the oscillating<br />

frequency.The (B) circuit is especially useful for driving the linear variable differential<br />

transformer (LVDT) position <strong>sensors</strong>, as the sensor’s transformer becomes a part <strong>of</strong><br />

the oscillating circuit.<br />

A radio-frequency oscillator can be used as a part <strong>of</strong> a capacitive occupancy detector<br />

to detect the presence <strong>of</strong> people in the vicinity <strong>of</strong> its antenna (Fig. 5.21). 3 The<br />

antenna is a coil which together with the C 2 capacitors determines the oscillating<br />

frequency. The antenna is coupled to the environment through its distributed capaci-<br />

2 A voltage comparator differs from an operational amplifier by its faster speed response and<br />

the output circuit which is easier interfaceable with TTL and CMOS logic.<br />

3 See Section 7.3 <strong>of</strong> Chapter 7.

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