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Bounded and Unbounded Signals – definition | Solved Examples

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


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.

bounded signal

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.

unbounded signal

Figure 2: Unbounded signal.

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