Bounded Signal is a signal which is having a finite value at all instants of time. Consider a continuous-time signal x(t) such that x(t) has finite-amplitude (value) at all time (t) as shown in figure 1 is an example of the bounded signal.
Examples of bounded signals are sin(t), cos(t), u(t). All these three signals are bounded by an amplitude of value 1. ( The maximum possible value is 1). Signals, 5 sin(t), 5 cos(t), 5 u(t) similarly are bounded by a value of 5.
Unbounded Signal is a signal which is having an infinite value at any instant of time. Consider a continuous-time signal x(t) such that x(t) has infinite-amplitude (value) at t= infinite as shown in figure 2 is an example of the unbounded signal.
Examples of unbounded signals are tan(t), cot(t), sec(t), cosec(t), r(t), δ(t). All these signals have infinite value as maximum possible value.
