Signal Processing Toolbox™ provides functions that let you study and characterize vibrations in mechanical systems. Use order analysis to analyze and visualize spectral content occurring in rotating machinery. Track and extract orders and their time-domain waveforms. Estimate the average spectrum of a signal as a function of order. Perform experimental modal analysis by estimating frequency-response functions, natural frequencies, damping ratios, and mode shapes. Plot stabilization diagrams. Remove noise coherently with time-synchronous averaging and analyze wear using envelope spectra. Generate high-cycle rainflow counts for fatigue analysis.