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Fig 1: Signal And System |
Given below are the Operations/Transformations in Independent variable of signals:
The time-shifting operation results in the change of just the positioning of a signal without affecting its amplitude or span. While doing so, none of its characteristics are altered. Its types are "Time-delayed" and "Time advanced" signals
The time scaling operation examines whether a signal is being contracted or expanded.
The time-reversal function indicates the original signal being reflected along the vertical axis i.e. y-axis or sometimes considered as x(t).
Basically, amplitude scaling is very similar to time-scaling. amplitude scaling is a basic operation performed on to the signals to vary their strength.
To understand this, firstly we have to understand orthogonality.
Orthogonality is the property that allows the transmission of more than one signal over a common channel with successful detection.
While the orthogonal signal is defined as followed:
* Two signals are said to be orthogonal if they are mutually independent.
Note: The mathematical representation of all the Operations/Transformations in Independent variable of signals is available into the PDF given below so that you can have it in your hand at ease. Please find attached.
To download handwritten notes for
Transformation in Independent variable of signals.
To be continued...
In our next article, we'll discuss Types Of Systems.
You can also check out our last article about Signals and Systems here
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