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Fixed frequency content (i.e. component or structural resonances) in spectra obtained from rotating equipment can be masked by the strong sources at harmonics (order) of the shaft running speed. The ratio of the fixed frequency components to the order components can be greater than 60dB making interpretation of resonances in the spectra difficult. Hence the order components are viewed as a corrupting phenomenon. An approach to remove the order components from the spectra, without affecting the remaining frequency domain information is presented in this work. The technique utilises a sequence of data sampling and transformations, between the time, order and frequency domains as follows: The theoretical and implementation details of the double resampling approach are discussed. The approach is applied to experimental torsional vibration data acquired from a laboratory test rig designed to simulate a …