Polar Code Implementation and Optimization in MATLAB Environment

A comprehensive MATLAB program has been developed to implement polar codes within the MATLAB computational environment. The program architecture employs efficient algorithms for polar code construction, encoding, and decoding processes, utilizing MATLAB's built-in functions for matrix operations and signal processing. Key implementation features include a recursive code construction algorithm based on channel polarization and successive cancellation decoding with optimized computational efficiency. Polar codes represent a class of error-correcting codes that demonstrate superior performance compared to other coding schemes like turbo codes in specific communication scenarios. The program implements core polar code functionality through modular functions handling code generation, encoding/decoding operations, and performance metric calculations. Particularly beneficial for wireless communication systems with bandwidth limitations, the implementation includes memory-efficient data structures for handling large code lengths. The program provides extensive parameter configuration capabilities, allowing users to experiment with critical polar code parameters including code rate adjustments, code length variations, and different decoding algorithms. Performance analysis modules compute essential metrics such as bit error rate (BER) using Monte Carlo simulations and throughput calculations under various signal-to-noise ratio conditions. The implementation incorporates visualization tools that generate plots for code performance comparison, decoding trajectory analysis, and polarization effect demonstration. Additional features include batch processing capabilities for parameter sweeps, result export functionality in multiple formats, and compatibility with MATLAB's Communication Toolbox for extended simulation scenarios. The object-oriented design ensures easy extensibility for incorporating advanced decoding techniques like successive cancellation list decoding. This program serves as an invaluable resource for researchers and engineers in digital communications, providing a robust framework for polar code optimization and system integration.