What is Time Reversal?
It is defined as the special case of time scaling when the value of α is -1. In time reversal the new signal is the mirror image of the original signal about the y-axis. So it is also known as a Floating or reflection operation. The general expression of time reversal is:
Time Reversal: x(t) → y(t) = x(-t), where the value of α is -1
In time reversal, the amplitude of the signal remains the same, only the signal is changed to the mirror image of the original signal about the y-axis.
Difference Between Time Shifting, Time Scaling and Time Reversal
When we talk about different types of operations performed on a signal, the concepts of shifting, scaling, and reversal come out. They are the basic operations that must be understood for signal sketching or simply drawing a signal. These operations not only help you sketch, but they help you understand the behavior of signals under different operations. But sometimes, they are a little bit confusing and it is difficult for us to differentiate between these terms. In this article, we will discuss these three terms in detail and we will also discuss some basic differences between them, that will help you understand better.
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