A generalized approach to the digital synthesis of Gaussian and nonGaussian random noises as well as purely impulsive waveforms having a preselected amplitude spectrum was described. The approach involved the maintenance of a predetermined reference spectrum, the performance of specific manipulations of the phase spectrum within any selected band of frequencies, and the application of the inverse fast Fourier transform to construct waveform peaks of the same energy spectra but with selected statistical characteristics (such as kurtosis and skewness). Theoretical considerations and the results of a series of numerical computer simulations were presented to demonstrate the functional relation between various phase spectrum manipulations and the signal descriptors of the synthesized random noise. Preliminary field measurements using a high intensity acoustic driver demonstrated the practicality of the synthesis approach. The authors conclude that the described approach is viable and that the synthesized random waveforms can be easily tailored to simulate a variety of real world acoustic vibration signals.
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