Frequency Estimation Using Rife and Modified-Rife Algorithms

This MATLAB program specializes in frequency estimation, implementing both the standard Rife algorithm and its enhanced variant, the Modified-Rife (M-Rife) algorithm. The implementation includes comprehensive comparative analysis between these two approaches, evaluating their performance characteristics under various signal conditions.

The primary objective of this program is to provide users with two distinct algorithmic approaches for achieving accurate frequency estimation. The Rife algorithm operates by interpolating between DFT bins to improve frequency resolution beyond the basic FFT limitations, while the M-Rife algorithm introduces modifications to handle challenging scenarios like low signal-to-noise ratios and off-grid frequencies more effectively. The code includes detailed benchmarking functions that compare estimation accuracy, computational efficiency, and robustness metrics for both methods. The implementation features configurable parameters for signal length, windowing functions, and noise levels, allowing users to test algorithm performance across different operational conditions.

Complete with demonstration scripts and practical usage examples, this program serves as an effective tool for researchers and engineers working in signal processing applications. The provided documentation explains key MATLAB functions including frequency estimation core routines, error analysis modules, and visualization tools for comparing results. Through practical implementation and comparative analysis, users can gain deeper insights into the strengths and limitations of each algorithm, enabling more informed selection for specific frequency estimation requirements in real-world applications.