This disclosure provides systems and methods for using a health monitoring system with acoustic emissions (AE) signals and the resonance frequency of the damage state of a component in a machine to monitor component health. AE signals collected from sensors on an operating machine are analyzed to identify signal features or events that correspond to component resonance frequencies. The AE signal features proximate to the component resonance frequencies and how those features and the component resonance frequency changes over time enable the identification and monitoring of damage states, such as cracks in the stator vanes of a compressor, gas turbine, steam turbine, or generator.