Amplitude - BRUEL & KJAER 2032 Instruction Manual

13.1.3. Amplitude
13.1.4. Operators
q
p
p
l / 1
y-1
!R',Jr1
[*]
[-]
[--]
Probability Histogram
Probability Density Function
Probability Distribution
RMS-value
Forward discrete Fourier Transform
1
N~ 2~kn
X(k) = -
2:
x(n)
0
exp ( - j - - )
N
n=O
N
Inverse discrete Fourier Transform
N-1
2
~
kn
x(n)
=
2:
X(k)
0
exp ( j - - )
n=O
N
where n stands for n ~ t and k for k ~f .
Discrete Hilbert Transform, forward, inverse
Complex Conjugate
Average
Hilbert Transform
13.2. DEFINITION OF FUNCTIONS
13.2.1. Instantaneous Time Function Ch.A or Ch.B
a(n):real-valued Time Record of input, 0 ~ n ~ N-1
For not zero pad measurement modes : N
=
2048
For zero pad measurement modes: N
=
1024
The Analytical Signal corresponding to a(n) is:
,--........J
az(n) = a(n)
+
j a(n)
where
$')
=!R'[ a(n)]
and SA(k)
=
Y [ a(n)]
SA(k) for k
=
0
2 SA(k) for 1 ~ k ~ N/2-1
0 for N/2 ~ k ~ N -1
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