Lifting scheme

Imagine you have a bunch of blocks that you want to stack up in a particular order. Now, imagine that some of those blocks are different shapes and sizes. You need to arrange those blocks carefully to create a solid structure.

A lifting scheme is like stacking those blocks in a certain way. It's a way of organizing data, specifically, digital signal processing. Think of it as a special way of arranging numbers to make them easier to work with.

You start with a basic set of numbers, and then add and subtract values to create new sets of numbers. These new sets represent different levels of detail in the original data. This process is repeated a number of times, creating more and more detailed sets of numbers.

Like stacking blocks in the right order, this process creates a structured, organized set of numbers that can be used to analyze and manipulate signals. It's kind of like building a pyramid or a tower, but with numbers instead of blocks.

The lifting scheme is used in a variety of applications, including image compression and data compression. By arranging data in a specific way, it's possible to reduce the amount of storage space needed to capture and analyze the data.

So, the lifting scheme is all about organizing data in a specific way to make it easier to work with, making use of add, subtract, and multiply operations. It's like stacking blocks in the right order to build a strong and stable structure.