## Multichannel and Multidimensional Signals with easy Explaination

Hello friends, in this quick article we are going to learn about Multichannel and Multidimensional Signals with there definitions and day-to-day example.

## Multichannel Signals

• As the name indicates, multichannel signals are generated by multiple sources or multiple sensors.
• The resultant signal is the vector sum of signals from all channels

Example: A common example of a multichannel signal is ECG waveform. To generate ECG waveform; different leads are connected to the body of a patient. Each lead is acting as an individual channel. Since there are n number of leads; the final ECG waveform is a result of the multichannel signal. mathematically final wave is expressed as,

## Multidimensional Signals

If a signal is a function of a single independent variable, the signal is called a one-dimensional signal. On the other hand, if the signal is a function of multiple independent variables then it is called as a multidimensional signal.

A good example of a multidimensional signal is the picture displayed on the TV screen. To locate a pixel on the screen, two coordinates namely x and y are required. Similarly, this point is a function of time also. So to display a pixel, minimum three dimensions are required; namely x, y, and t. Thus this is a multidimensional signal. Mathematically it can be written as P(x, y, t).

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## 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.

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.

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