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Digital Control Systems [MEE 4003] - Kckong.info

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1.1. PROBLEM DEFINITION 5<br />

dimension (across a scan line) and two discrete dimensions (frame and line).<br />

1.1.5 Continuous-time and discrete-time signals<br />

If the quantities are defined only on a discrete set of times, we call it a discrete-time signal.<br />

The discrete-time signal can be indexed by an integer that represents the sequence of each<br />

data point.<br />

On the other hand, a continuous-time real signal is any real-valued function that is<br />

defined for all timetin an interval.<br />

[Example 1-3] An example of the continuous-time and discrete-time signals is shown<br />

in Fig. 1.3. In general, the discrete-time signal is a sampled version of its corresponding<br />

continuous-time signal.<br />

0.9<br />

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Amplitude<br />

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Amplitude<br />

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0<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1<br />

Time (sec.)<br />

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0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1<br />

Time (sec.)<br />

(a)<br />

(b)<br />

Figure 1.3: Continuous-time and discrete-time domain signals.<br />

(a): a continuous-time signal, (b): a discrete-time signal<br />

1.1.6 <strong>Digital</strong> control<br />

<strong>Digital</strong> control is a branch of control theory that uses digital computers to act as system<br />

controllers. Depending on the requirements, a digital control system can take the form<br />

of a microcontroller (costs less than 10,000 KRW) to a digital signal processor (DSP,<br />

costs more than 10,000,000 KRW). Since a digital computer has finite precision (i.e.,<br />

<strong>Digital</strong> <strong>Control</strong> <strong>Systems</strong>, Sogang University<br />

Kyoungchul Kong

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