BRUEL & KJAER 2032 - Amplitude

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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