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handbook of modern sensors

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5.3 Excitation Circuits 171<br />

atures. Naturally, the reference voltage from the combination is higher than from a<br />

single zener diode. A commercial monolithic version <strong>of</strong> this circuit is available from<br />

Motorola (part 1N821).<br />

The so-called band-gap references are <strong>of</strong>ten useful substitutes for zener diodes.<br />

They have typically 10 times lower output impedance than low-voltage zeners and<br />

can be obtained in a variety <strong>of</strong> nominal output voltages, ranging from 1.2 to 10 V.<br />

Currently, a large variety <strong>of</strong> high-quality voltage references with selectable outputs<br />

is available from many manufacturers.<br />

5.3.3 Oscillators<br />

Oscillators are generators <strong>of</strong> variable electrical signals. Any oscillator is essentially<br />

comprised <strong>of</strong> a circuit with a gain stage, some nonlinearity and a certain amount <strong>of</strong><br />

positive feedback. By definition, an oscillator is an unstable circuit (as opposed to an<br />

amplifier which better be stable!) whose timing characteristics should be either steady<br />

or changeable according to a predetermined functional dependence. The latter is called<br />

a modulation. Generally, there are three types <strong>of</strong> electronic oscillators classified according<br />

to the time-keeping components: the RC, the LC, and the crystal oscillators.<br />

In the RC oscillators, the operating frequency is defined by capacitors (C) and resistors<br />

(R); in the LC oscillators, it is defined by the capacitive (C) and inductive (L) components.<br />

In the crystal oscillators, the operating frequency is defined by a mechanical<br />

resonant in specific cuts <strong>of</strong> piezoelectric crystals, usually quartz and ceramics.<br />

There is a great variety <strong>of</strong> oscillation circuits, the coverage <strong>of</strong> which is beyond<br />

the scope <strong>of</strong> this book. Below, we briefly describe some practical circuits which can<br />

be used for either direct interface with <strong>sensors</strong> or may generate excitation signals in<br />

an economical fashion.<br />

Many various multivibrators can be built with logic circuits, (e.g., with NOR,<br />

NAND gates, or binary inverters). Also, many multivibrators can be designed with<br />

comparators or operational amplifiers having a high open-loop gain. In all <strong>of</strong> these<br />

oscillators, a capacitor is being charged, and the voltage across it is compared with<br />

another voltage, which is either constant or changing. The moment when both voltages<br />

are equal is detected by a comparator. A comparator is a two-input circuit which<br />

generates an output signal when its input signals are equal. A comparator is a nonlinear<br />

element due to its very high gain that essentially results in the saturation <strong>of</strong><br />

its output when the input signals differ by a relatively small amount. The indication<br />

<strong>of</strong> a comparison is fed back to the RC network to alter the capacitor charging in the<br />

opposite direction, which is discharging. Recharging in a new direction goes on until<br />

the next moment <strong>of</strong> comparison. This basic principle essentially requires the following<br />

minimum components: a capacitor, a charging circuit, and a threshold device (a<br />

comparator). Several relaxation oscillators are available from many manufacturers,<br />

(e.g., a very popular timer, type 555, which can operate in either monostable or actable<br />

modes). For illustration, below we describe just two discrete-component square-wave<br />

oscillators; however, there is a great variety <strong>of</strong> such circuits, which the reader can<br />

find in many books on operational amplifiers and digital systems, (e.g., Ref. [3]).<br />

Asimple square-wave oscillator can be built with two logic inverters (e.g., CMOS)<br />

(Fig. 5.19A). A logic inverter has a threshold near a half <strong>of</strong> the power supply-voltage.

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