MATLAB Program for Autocorrelation Function Estimation (Direct Method and FFT Method), Signal Frequency Estimation, and Power Spectrum Analysis

This MATLAB program provides robust implementations for three fundamental signal processing tasks: autocorrelation function estimation (featuring both direct computation and FFT-accelerated methods), signal frequency estimation (implementing MUSIC, ROOTMUSIC, ESPRIT, and MVDR algorithms), and power spectrum estimation (utilizing Levinson-Durbin recursive algorithm, Blackman-Tukey method, and periodogram techniques). The code includes comprehensive simulation plots that facilitate comparative analysis between different methods. Each algorithm is implemented with proper parameter handling and validation checks - for instance, the FFT-based autocorrelation uses zero-padding for linear convolution, while the MUSIC algorithm incorporates eigenvalue decomposition for noise subspace separation. Through these well-documented implementations, users can accurately estimate signal characteristics, enabling informed decisions in signal processing applications and communication system design. The program structure allows modular testing of individual methods with configurable input parameters and visualization options.