Compressive Sensing MATLAB Code with Implementation Guide

This resource provides detailed MATLAB implementations of compressive sensing algorithms designed specifically for educational purposes. The package includes seven specialized Synthetic Aperture Radar (SAR) codes to help readers gain deeper insights into radar signal processing applications. Compressive sensing represents an advanced signal sampling and reconstruction technique that enables accurate signal recovery even when sampling rates fall below the Nyquist threshold. Our MATLAB implementations demonstrate key algorithms including L1-minimization approaches using interior-point methods and greedy algorithms like Orthogonal Matching Pursuit (OMP). Each code contains commented sections explaining the mathematical formulation and implementation logic. SAR radar systems utilize sophisticated signal processing to create high-resolution ground target imagery. The provided MATLAB codes cover fundamental SAR operations including: - Range-Doppler algorithm implementation with phase preservation - Chirp Scaling Algorithm (CSA) for precise focusing - Polar formatting and back-projection techniques - Autofocus routines using Phase Gradient Autofocus (PGA) - Coherent change detection methods - Image formation with motion compensation - Signal-to-noise ratio enhancement techniques Each SAR implementation includes configuration parameters for adjusting radar parameters and processing steps, with detailed comments explaining the underlying physics and mathematical transformations. The codes demonstrate practical considerations such as windowing functions, interpolation methods, and computational optimization strategies. This collection serves as both an educational tool for understanding compressive sensing principles and a practical reference for implementing SAR processing chains. The modular code structure allows beginners to experiment with individual components while providing advanced users with a foundation for developing more complex radar and signal processing applications.