Civil Engineering Reference
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have a bandwidth Δ f ≈ 0.71⋅ f 0 and a one-third-octave band a bandwidth Δ f ≈ 0.23⋅ f 0 . As
mentioned above, specifications for such filters are given in IEC 61260.
p ( t )
p ( t , f 0 , Δ f )
3
3
2
2
Δ f
1
1
0
0
-1
-1
f 0
-2
-2
-3
0
0.01
0.02
0.03
0.04
0.05
-3
0
0.01
0.02
0.03
0.04
0.05
t
t
L p
Equation (1.24)
f 0
f
Figure 1.12 Frequency analysis of a sound pressure signal using fixed filters of bandwidth Δ f . A filter having a
centre frequency f 0 is indicated.
We shall also give a specific example of such analysis using these two types of
band pass filter. Figure 1.13 shows the result of the analysis on a signal which could
represent the sound pressure measured at a certain distance from a given source. In
addition to the sound pressure levels using these filters, analysis is performed using a
discrete Fourier transform as described in section 1.4.4 .
100
90
1/1
80
1/3
70
DFT
60
50
40
100
1000
60
200
500
2000
5000
Frequency (Hz)
Figure 1.13 Stochastic noise signal with added pure tone components. Analysis in octave bands (1/1) and one-
third-octave bands (1/3) together with discrete Fourier transform analysis (DFT).
 
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