Multichannel and Multidimensional Signals
[caption id="attachment_1566" align="aligncenter" width="395"] Multichannel and Multidimensional Signals[/caption]
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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