Motions in the time-frequency distribution

Okay, kiddo, let's start with understanding what time-frequency distribution is all about. You must have heard about time and frequency separately. Time is like when you do something or when something happens, and frequency is how often something happens in a particular time.

Now, imagine you have a magical device that can show you how the frequency of something changes over time. It's like a moving picture that shows you how the sound of a guitar changes when someone plays it. That moving picture is called a time-frequency distribution.

Now, let's talk about motions in the time-frequency distribution. When something moves in the real world, it can also create a movement in the time-frequency distribution. For example, imagine someone is playing a guitar, and they start playing a high note. When they play that high note, the frequency in the time-frequency distribution will go up, and it will move in the upward direction.

Similarly, if someone plays a low note, the frequency will go down, and it will move in the downward direction. So, the movement in the time-frequency distribution is related to the movement in the real world.

But there's more to it, kiddo! Sometimes, there can be other motions in the time-frequency distribution that don't have a direct relationship with the real world. These are called imaginary motions or mathematical motions, like a wave moving in a mathematical way.

So, when we talk about motions in the time-frequency distribution, we are referring to both the movements that are caused by real-world actions and the mathematical movements that can be present too.