Arithmetic Coding Program Design and Practical Examples

In this document, I will provide a detailed explanation of arithmetic coding program design and practical examples, demonstrating how it's particularly suitable for beginners to master MATLAB-based arithmetic coding. Arithmetic coding is a powerful and efficient data compression technique that compresses data by mapping symbols to numerical representations, achieving higher compression ratios and reduced storage requirements. The fundamental principles and implementation methods of arithmetic coding will be thoroughly explained in the following sections, accompanied by specific examples to enhance reader comprehension. These examples will cover various data types including text, images, and audio, illustrating how to implement arithmetic coding using MATLAB. The implementation will include key algorithmic components such as probability interval division, cumulative probability calculations, and precision handling for floating-point operations. Through understanding these concepts, readers will gain deep insights into arithmetic coding's operational mechanisms and learn to apply it flexibly in practical scenarios. The MATLAB implementations will feature essential functions like probability distribution analysis, interval calculation routines, and encoding/decoding procedures. By mastering these elements, readers will develop the ability to create efficient compression solutions and adapt the algorithms for specific application requirements. This article aims to help beginners quickly establish fundamental knowledge of arithmetic coding while providing valuable guidance and references for their studies and research in the data compression field.