Bounded and Unbounded Signals – definition | Solved Examples

In this topic, you study the Bounded and Unbounded Signals theory, definition & solved examples.

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Bounded Signal

A continuous-time signal $x(t)$ having finite value at any instant of time is said to be bounded signal i.e. if $x(t) < M$ ; where $M$ is the finite value for all time $t$. The bounded signal example with $M=1$ shown in Figure 1.

Figure 1: Bounded signal.

Unbounded Signal

A continuous-time signal $x(t)$ having infinite value at any instant of time is said to be the unbounded signal. The unbounded signal example is shown in Figure 2.

Figure 2: Unbounded signal.