Transformation of the Independent Variable
- Shifting: the signal can be delayed ( x(t-T) ) or advanced ( x(t+T) ) by incrementing or decrementing the independent variable (time here). The shape of the graph remains same only shifted on the time axis.
- Scaling: the signal can be compressed ( x(at), a>1 ) or expanded ( x(t/a), a>1 or x(at), 1>a>0 ).
Here the shape/behaviour of the graph of the signal changes as the fundamental time period changes. In compression the time period decreases and in expansion the time period increases. - Reversal: also called folding as the graph is folded about the Y-axis or T if given x(T-t).
Introduction to Signals and Systems: Properties of systems
In this article, we will go through Signal and systems, First, we will define what is a signal and what is a system, then we will go through the calculation of the Energy and Power of Signals with their transformation, At last we will conclude our article with Properties, Applications and some FAQs.
Table of Content
- What are Signals ?
- What is a System ?
- Calculating the Energy and Power
- Properties of Systems
- Applications