By Frank Fahy, John Walker
Complex purposes in Noise and Vibration offers remedies of acoustic and vibration phenomena including summaries of the newest wisdom, research and strategies at present on hand for facing functional difficulties.
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Additional info for Advanced Applications in Acoustics, Noise and Vibration
The spectrum computed using a model order 16 shows distinct signs of excessive smoothing; the two closest sinusoids are not resolved. One should note that the peak at the resonance is well resolved in comparison to the anti-resonance. This behaviour is to be expected since the AR method is based on modelling data using an all-pole model and, since the presence of the resonance corresponds to a pole, this feature is readily reproduced in the AR spectrum. However the anti-resonance, resulting from the presence of a zero in the transfer function, is poorly modelled using only poles (although in principle a model of sufficient order is able to capture such behaviour).
The principle is to construct the digital system as follows: (i) Compute the impulse response of the analogue system ha t by inverse Laplace transforming Ha s . (ii) The impulse response h n of the associated digital system is defined as a sampled version of the analogue system’s impulse response. 44) t=n (iii) The transfer function H z of the digital system is then obtained by z-transforming the digital impulse response. The success of this process depends upon whether the sampling process step (ii) introduces distortions due to aliasing.
Advanced Applications in Acoustics, Noise and Vibration by Frank Fahy, John Walker