Deterministic and Random Signals

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)


  • 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

Post a Comment


  1. nice article!! You are such a true person and I like your blog content. Please continue. - Massey 7250

  2. I have learned all about Deterministic and Random Signals, which is the best part of Maths, but I think it is a very important chapter for those students who are completing their studies in Maths. Thanks for sharing this news with the students. cheap dissertation writing service

  3. I am attracted by the info which you have provided in the above post about microsonic distance sensor. It is genuinely good and beneficial info for us. Continue posting, Thank you.

  4. 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.