Greedy Algorithm MP Implementation in MATLAB

This program implements the Greedy Matching Pursuit (MP) algorithm in MATLAB, primarily used for channel estimation and similar signal processing tasks. The greedy algorithm operates on a step-wise optimization principle, where at each iteration it selects the locally optimal solution that appears most promising, gradually building toward a globally optimal solution through successive approximations. The MATLAB implementation leverages built-in matrix operations and optimization functions to efficiently handle signal decomposition and parameter estimation. Key algorithmic components include: - Iterative residual calculation to progressively refine the solution - Correlation-based atom selection from a predefined dictionary - Orthogonal projection updates for signal approximation Channel estimation in wireless communications involves sampling and processing received signals to characterize and infer transmission channel properties. This algorithm effectively estimates channel parameters by: - Decomposing received signals into sparse representations - Identifying dominant channel paths through greedy selection - Reconstructing channel impulse responses using selected basis functions The MATLAB code structure typically includes: - Main function implementing the MP iteration loop - Sub-functions for dictionary generation and correlation calculations - Visualization routines for analyzing estimation results This implementation enables efficient processing of channel estimation tasks and provides a framework for analyzing various wireless communication scenarios through customizable parameter settings.