Advanced Applications in Acoustics, Noise and Vibration by Frank Fahy, John Walker

By Frank Fahy, John Walker

Complex functions in Noise and Vibration offers remedies of acoustic and vibration phenomena including summaries of the most recent wisdom, research and strategies presently to be had for facing useful difficulties.

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34) k=0 If this approach is applied directly to a problem, the results are identical to those obtained using the windowing method with a rectangular window. 22)). 35) Signal processing techniques 17 This equation relates the frequency response H f for any frequency f to the sampled frequency point H k . 7. Note how the solid line (describing H f is constrained to pass through each of the circles indicating H k . We can regard the frequency design method as constructing a filter whose frequency response is obtained by interpolating between the points H k .

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.

34) k=0 If this approach is applied directly to a problem, the results are identical to those obtained using the windowing method with a rectangular window. 22)). 35) Signal processing techniques 17 This equation relates the frequency response H f for any frequency f to the sampled frequency point H k . 7. Note how the solid line (describing H f is constrained to pass through each of the circles indicating H k . We can regard the frequency design method as constructing a filter whose frequency response is obtained by interpolating between the points H k .

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