What is Time Shifting?
It is defined as the shifting of a signal along the time axis. In time shifting we relocate the signal left or right along the time axis. The general expression of time shifting is:
Time Shifting: x(t) →y(t) = x(t + k), k ≠ 0 where k is time in seconds
Depending on the value of k, there are two different cases for time shifting.
Case 1: When k > 0, means k is +ve. It is the case of time advance or Left shifting of the signal along the time axis.
Case 2: When k < 0, means k is -ve. It is the case of time delay or Right shifting of the signal along the time axis.
In time shifting, the amplitude of the signal remains the same, only shifting of signal occurs according to the value of k. The left or right shifting does not change the shape of the original signal.
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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