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handbook of modern sensors

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5.4 Analog-to-Digital Converters 179<br />

Fig. 5.24. Charge-balance V/F converter.<br />

The charge-balance type <strong>of</strong> converter employs an analog integrator and a voltage<br />

comparator, as shown in Fig. 5.24. This circuit has such advantages as high speed,<br />

high linearity, and good noise rejection. The circuit is available in an integral form<br />

from several manufacturers—for instance, ADVFC32 and AD650 from Analog Devices,<br />

and LM331 from National Semiconductors. The converter operates as follows.<br />

The input voltage V in is applied to an integrator through the input resistor R in . The<br />

integrating capacitor is connected as a negative feedback loop to the operational amplifier<br />

whose output voltage is compared with a small negative threshold <strong>of</strong> −0.6<br />

V. The integrator generates a saw-tooth voltage (Fig. 5.26), which, at the moment<br />

<strong>of</strong> comparison with the threshold, results in a transient at the comparator’s output.<br />

That transient enables a one-shot generator which produces a square pulse <strong>of</strong> a fixed<br />

duration t os . A precision current source generates constant current i, which is alternatively<br />

applied either to the summing node <strong>of</strong> the integrator or to its output. The<br />

switch S 1 is controlled by the one-shot pulses. When the current source is connected<br />

to the summing node, it delivers a precisely defined packet <strong>of</strong> charge Q = it os to the<br />

integrating capacitor. The same summing node also receives an input charge through<br />

the resistor R in , thus the net charge is accumulated on the integrating capacitor C in .<br />

When the threshold is reached, the one-shot is triggered and the switch S 1 changes<br />

its state to high, thus initiating a reset period (Fig. 5.25B). During the reset period,<br />

the current source delivers its current to the summing node <strong>of</strong> the integrator. The<br />

input current charges the integrating capacitor upward. The total voltage between the<br />

threshold value and the end <strong>of</strong> the deintegration is determined by the duration <strong>of</strong> a<br />

one-shot pulse:<br />

V = t os<br />

dV<br />

dt<br />

= t os<br />

i − I in<br />

C in<br />

. (5.27)<br />

When the output signal <strong>of</strong> the one-shot circuit goes low, switch S 1 diverts current i to<br />

the output terminal <strong>of</strong> an integrator, which has no effect on the state <strong>of</strong> the integrating<br />

capacitor C in ; that is, the current source sinks a portion <strong>of</strong> the output current from the<br />

operational amplifier. This time is called the integration period (Figs. 5.25Aand 5.26).<br />

During the integration, the positive input voltage delivers current I in = V in /R in to the

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