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1080 ⏐⏐⏐ DECIBELS, FILTERS, AND BODE PLOTS<br />

i<br />

i t<br />

Input<br />

5 V<br />

Regulator<br />

(a)<br />

5 V<br />

V o<br />

0 t<br />

Feedback<br />

High-frequency<br />

noise<br />

Output<br />

i<br />

problem for the equipment to which the dc voltage is applied: A highfrequency<br />

noise signal has been developed. One way to subdue this<br />

reaction and, in fact, slow the system response down so that very short<br />

interval spikes have less impact is to add a capacitor across the output<br />

as shown in Fig. 23.92(b). Since the regulator is providing a fixed dc<br />

level, a large capacitor of 1 mF can be used to short-circuit a wide range<br />

of high-frequency disturbances. However, you don’t want to make the<br />

capacitor too large or you’ll get too much damping, and large overshoots<br />

and undershoots can develop. To maximize the input of the<br />

added capacitor, you must place it physically closer to the regulator to<br />

ensure that noise is not picked up between the regulator and capacitor<br />

and to avoid developing any delay time between output signal and<br />

capacitive reaction.<br />

In general, as you examine the schematic of working systems and<br />

see elements that don’t appear to be part of any standard design procedure,<br />

you can assume that they are either protective devices or due to<br />

noise on the line that is affecting the operation of the system. Noting<br />

their type, value, and location will often reveal their purpose and modus<br />

operandi.<br />

23.17 COMPUTER ANALYSIS<br />

PSpice<br />

dB<br />

i 0 t<br />

Input<br />

5 V<br />

Regulator<br />

Output<br />

High-frequency<br />

1 µF<br />

noise stabilizer–<br />

bypass to ground<br />

(Open-circuit for<br />

5 V dc level)<br />

High-Pass Filter The computer analysis will begin with an investigation<br />

of the high-pass filter of Fig. 23.93. The cutoff frequency is<br />

determined by f c � 1/2pRC � 1.592 kHz, with the voltage across the<br />

resistor approaching 1 V at high frequencies at a phase angle of 0°.<br />

For this analysis, the ac voltage source VAC was used. Within the<br />

Property Editor, the quantities defined appear next to the source in<br />

Fig. 23.93. Otherwise, building the circuit is quite straightforward.<br />

Our interest lies in the effect of frequency on the magnitude of the<br />

output voltage across the resistor and the resulting phase angle. Following<br />

the selection of AC Sweep under the Analysis type heading, the<br />

Start Frequency should be set at 10 Hz so that we have some data<br />

points at the very low end and an End Frequency of 100 kHz so that<br />

we extend well into the high frequencies. Here is the obvious advantage<br />

5 V<br />

Filter<br />

FIG. 23.92<br />

Regulator: (a) effect of spike in current on the input side; (b) noise reduction.<br />

V o<br />

(b)

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