AR Model Power Spectrum Estimation for Multi-Frequency Sinusoidal Signal

Resource Overview

A MATLAB implementation of power spectrum estimation for multi-frequency sinusoidal signals using autoregressive (AR) modeling with Levinson algorithm, optimal order determination, and comparison with built-in functions.

Detailed Documentation

This MATLAB program implements power spectrum estimation for multi-frequency sinusoidal signals using an autoregressive (AR) model approach. The implementation utilizes the Levinson algorithm for efficient AR parameter estimation, incorporates an optimal order selection algorithm to determine the appropriate model complexity, and includes comparative analysis with MATLAB's built-in spectral estimation functions. The program provides practical insights into multi-frequency sinusoidal signal characteristics through power spectrum analysis, demonstrating key implementation aspects such as: Levinson recursion for solving the Yule-Walker equations, criteria-based model order selection (AIC/BIC), and performance evaluation against standard library functions. This implementation serves as an educational tool for understanding AR modeling techniques and their application to spectral estimation of complex sinusoidal signals.