MATLAB Code Implementation of OFDM System with Wavelet/Wavelet Packet Transform Applications

This document provides a concise overview of a complete OFDM system implementation, while also offering opportunities to explore the working principles of OFDM systems and the applications of wavelet/wavelet packet transforms in OFDM. An OFDM system employs a technique that divides a data stream into multiple smaller substreams, transmits them through different subcarriers, and reassembles them through inverse operations to recover the original data. In code implementation, this typically involves inverse fast Fourier transform (IFFT) for modulation and FFT for demodulation, with cyclic prefix insertion to mitigate inter-symbol interference. Wavelet/wavelet packet transforms serve as mathematical tools for signal analysis and processing, which can be applied in OFDM systems for pre-processing or post-processing operations to enhance system performance. These transforms can be implemented using MATLAB's wavelet toolbox functions like wavedec and waverec for multi-resolution analysis. We recommend enhancing this document with additional details about OFDM system parameters (such as subcarrier spacing and guard interval length) and wavelet transform implementations (including filter bank configurations and thresholding techniques) to help readers better understand the applications and advantages of these technologies in practical communication systems.