MATLAB Implementation of Tail-Biting Convolutional Codes in 3GPP Standards

This MATLAB program demonstrates the implementation and application of tail-biting convolutional codes in 3GPP standards. The program explores both the theoretical foundations and practical MATLAB implementation of tail-biting convolutional codes, including comprehensive code generation and decoding algorithms. Key features include MATLAB implementations of circular state initialization for encoding, Viterbi decoding with wrap-around state transitions, and BER performance simulation. The program contains specialized functions for constraint length handling, polynomial configuration matching 3GPP specifications, and termination-free decoding processes. Performance evaluation modules include SNR sweep testing, error pattern analysis, and comparative simulations against conventional convolutional codes. The implementation utilizes MATLAB's communication toolbox functions while providing custom algorithms for tail-biting specific operations, ensuring compliance with 3GPP technical requirements. This program serves as both an educational resource for understanding tail-biting convolutional code principles and a practical tool for 3GPP-standard communication system development.