By Frank Fahy, John Walker
Complex purposes in Noise and Vibration provides remedies of acoustic and vibration phenomena including summaries of the newest wisdom, research and techniques presently on hand for facing sensible difficulties.
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Extra info for Advanced Applications in Acoustics, Noise and Vibration
In each frame, the spectrum of the filtered noise is shown as a dotted curve and the frequencies of the sinusoidal components are indicated by vertical dotted lines. 14a,b shows the results obtained from segment averaging. 14a) results in a heavily smoothed spectral estimate in which the two closely spaced sinusoids are not resolved and the heights and the depths of the resonance and anti-resonance are underestimated. The result of using a longer window in segment averaging is to improve the resolution (the closely spaced sinusoids are resolved) but there is a significant loss of smoothness.
The shortcomings of this method mean that it is of little practical use for the design of digital filters. 11 Mapping of points from the s-plane to the z-plane using the method of mapping differentials. R. K. 2 The impulse-invariant method The methodology adopted by the impulse-invariant method is dissimilar to that of the other two approaches described above. 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 .
This point lies within the transition zone whose width is 2/M Hz. The size of the oscillations induced depends upon the choice of value for a. 9 illustrate the effect of different choices for a. From these plots, one can see that the attenuation in the stop band critically depends on the value of a. 3904 has been included since this can be shown to minimise the size of the oscillations in the stop band (Oppenheim and Schafer 1975). 9, where the maximum value in the stop band is about −40 dB. 8 Frequency sampling designs using different values of a displayed on a linear scale.
Advanced Applications in Acoustics, Noise and Vibration by Frank Fahy, John Walker