The Intuition Behind Convolution: Explained with an Analogy

Convolution is a mathematical operation that combines two functions to track their interaction over time.

In the analogy with fireworks, the smoke function represents the amount of smoke in the air after each firework is set off.

The fireworks function represents the number of fireworks set off each minute.

The amount of smoke in the air at the end of a certain time frame is calculated by convolving the smoke and fireworks functions.

Convolution is like combining two functions in such a way that tracks their interaction throughout time.

What is convolution?

—Convolution is a mathematical operation that combines two functions to track their interaction over time.

How can I understand convolution intuitively?

—One way to understand convolution intuitively is through the analogy with fireworks, where the smoke function represents the amount of smoke in the air after each firework is set off.

What does the fireworks function represent?

—The fireworks function represents the number of fireworks set off each minute.

How is the amount of smoke in the air calculated?

—The amount of smoke in the air at the end of a certain time frame is calculated by convolving the smoke and fireworks functions.

What is the purpose of convolution?

—The purpose of convolution is to combine two functions in such a way that tracks their interaction throughout time.

00:00Convolution is a confusing concept in signals and systems.

02:20Convolution can be explained using an analogy with fireworks.

04:55The amount of smoke in the air can be calculated using convolution.