Deterministic and Random Signals

Hi friends, in this article we will learn some basic concepts about Deterministic and Random Signals

Deterministic signal

A signal which can be described by a mathematical expression, lookup table or some well-defined rule is called as the deterministic signal.

Examples: Sine wave, cosine wave, square wave, etc.

Deterministic signal
Deterministic signal

Sine wave can be represented mathematically as,

x(t) = A sin (2πft)

where A is the amplitude of a signal

f = frequency of a signal

Note: The deterministic signals such as sine wave, cosine wave, etc are periodic. But some deterministic signals may not be periodic. The exponential signal is an example of a non-periodic signal.

Random Signal

A signal which cannot be described by any mathematical expression is called as a random signal. Due to this, it is not possible to predict about the amplitude of such signals at a given instant of time.

Example: A good example of a random signal is noise in the communication signal. Below figure shows one of the random signals.

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