Workshop I: Signal Processing Introduction to the FFT A/D converters, dynamic range, FFT batch process, buffer fill times, averaging, and overlap.

Workshop II: FFT Basics and Filters FFT Topics Aliasing, windows, resolution, and demonstrations.

Workshop III: Aliasing, Windows, and Resolution FFT Accuracy Side-lobe areas; accuracy of rectangular, Hanning, and flat-top windows, window resolution, order spectra, correction of amplitude and frequency from bin location.

Workshop IV: Window Function and Order Spectra Beats and Modulation Time domain of digitized signals, beats, AM and FM modulation, suppressed carrier signals and enveloping, case histories.

Workshop V: Beats and Modulation
Time Series Averaging
Frequency synthesizers, averaging one signal and noise, averaging two signals, effect of synchronous time averaging on bearing defects and modulation, digital filers and the FFT as a brick wall filter, case histories of synchronous time averaging.

Workshop VI: Time Series Averaging Transient and Forced Harmonic Vibration Dual-Channel Basics Test methods, transfer functions, coherence, mass/spring model, real and imaginary displays, Nyquist and Bodé plots, basic mode shapes, and operating deflection shapes. Introduction to the Hilbert Transform

Workshop VII: Dual-Channel Analysis Damping Measurement and Calculation Half-power, real or imaginary plots, slope of phase shift, log decrement, dB decay of waterfall data, and demonstrations.

Workshop VIII: Damping Measurement Modal Testing Testing, analysis, natural frequencies, damping, and modes. Structural Measurements Vertical pumps, machine supports, floors, phase leads, turbine blades and fans, axial resonance on motors with sleeve bearings.

Workshop IX: Modal Testing 

Course Review: 

Training Examination Review 
Training Examination on Course Content (2 hours)