Deterministic and Random Signals

by - Mayuresh Joshi on - January 01, 2018
Hi friends, in this article we will learn some basic concepts about Deterministic and Random Signals. We will cover definitions and examples of Deterministic and Random Signal.

Deterministic signal


Deterministic signals can be described by a mathematical expression, lookup table or some well-defined rule.

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

[caption id="attachment_1559" align="aligncenter" width="287"]Deterministic signal Deterministic signal[/caption]

A 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 in nature. Besides this, 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. Therefore, it is not possible to predict 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.

[caption id="attachment_1558" align="aligncenter" width="283"]Random Signal Random Signal[/caption]

Recommended articles to read:

  1. Introductions to Signals and Systems

  2. Category: Signals and Systems

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4 Comments

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  2. Roman DavisApril 20, 2022 at 1:22 AM

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  4. JackStoneDecember 11, 2022 at 8:54 PM

    This is an excellent resource for anybody interested in learning more about the distinctions between deterministic and random signals. It explains and illustrates each sort of signal in detail, as well as practical uses for both. It's an excellent resource for anyone working on PGCE Assignments projects or interested in signal processing in general.

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