OFDM MMSE MATLAB Implementation with Algorithm Explanation

In this document, we introduce the fundamental principles of OFDM MMSE equalization and provide corresponding MATLAB implementation code. OFDM (Orthogonal Frequency Division Multiplexing) is a modulation technique widely used in wireless communication systems. MMSE (Minimum Mean Square Error) represents an algorithm employed for signal detection and recovery in communication systems. The MATLAB implementation will demonstrate key components including: - OFDM signal generation with inverse Fast Fourier Transform (IFFT) operations - Channel modeling with additive white Gaussian noise (AWGN) - MMSE equalizer design using statistical channel state information - Frequency-domain equalization implementation - Performance evaluation through bit error rate (BER) calculations The code structure will feature essential functions such as: 1. ofdm_modulator() - Handles subcarrier mapping and IFFT transformation 2. mmse_equalizer() - Implements the MMSE weighting matrix calculation using channel frequency response and noise variance estimates 3. channel_estimation() - Provides channel state information for equalization 4. ber_calculator() - Evaluates system performance through error rate analysis By studying this documentation and referencing the provided MATLAB code, you will gain comprehensive understanding of OFDM MMSE technology and its practical implementation in wireless communication systems. The code includes commented sections explaining matrix operations for MMSE weights calculation and demonstrates proper handling of cyclic prefix in OFDM systems.