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10. 10Appendix - 10.4. FFT Analysis
1WMPD4004444
131
2
1
0
)
(
k
=
∑
−
=
N
i
i
W
N
N
: Sampling points;
W
(
i
)
: Window function
Amplitude
Lin-Amp
R
2
+ I
2
Logarithmic amplitude
Log-Amp
10 × log(R
2
+ I
2
)
Power Spectrum Density (One Signal Analysis)
Indicates the power spectrum by unit frequency
∆f
.
R and I are the result of multiplying the window function peak compensation coefficient k.
2
1
0
)
(
k
=
∑
−
=
N
i
i
W
N
N
: Sampling points;
W
(
i
)
: Window function
Amplitude
Lin-Amp
(R
2
+ I
2
)/
∆𝑓𝑓
×
𝑘𝑘
1
Logarithmic amplitude
Log-Amp
10 × log((R
2
+ I
2
)/
∆𝑓𝑓
×
𝑘𝑘
1)
∆f
=
Fs
/
N
;
Fs
: Sampling points;
W
(
i
)
: Window function
k1: Window function BW compensation coefficient
Rectangular
1
Hanning
0.666
Hamming
0.731
Cross Power Spectrum (Two Signal Analysis)
The cross power spectrum derives the power between two signals. It is derived as the product of the
linear spectrum Gx of the signal to compare and the complex conjugate Gx
*
of the linear spectrum Gy
of the base signal.
Linear spectrum of reference signal
Gx = Rx + jIx, Gx
*
= Rx – jIx
Linear spectrum of comparison signal
Gy = Ry + jIy
Cross power spectrum
Gyx = Gy x Gx
*
= (Ry + jIy)(Rx - jIx) = Ryx + jIyx
Cross power spectrum (real number part)
Ryx = (RyRx + IyIx) x k
Cross power spectrum (imaginary number part)
Iyx = (RxIy – RyIx) x k
Ryx and Iyx are the result of multiplying the window function peak compensation coefficient k.
2
1
0
)
(
k
=
∑
−
=
N
i
i
W
N
N
: Sampling points;
W
(
i
): Window function
Real number part
Lin-Rel
Ryx
Imaginary number part
Lin-Img
Iyx
Amplitude
Lin-Amp
�
(Ryx
2
+ Iyx
2
)
Logarithmic amplitude
Log-Amp
10 × log (
𝑅𝑅𝑅𝑅𝑅𝑅
2
+
𝐼𝐼𝑅𝑅𝑅𝑅
2
)
Phase
Phase
tan
−1
(Iyx/Ryx)
Содержание RA3100 Omniace
Страница 1: ...RA3100 Omniace Instruction Manual 1WMPD4004444...
Страница 162: ...13 Optional Parts 13 1 List of Cables 162 1WMPD4004444 12 4 Exterior 12 4 1 Main Unit Exterior 394 199 410 334...
Страница 163: ...12 Specifications 12 4 Exterior 1WMPD4004444 163 12 4 2 Two Channel Voltage Module RA30 101 Exterior...
Страница 164: ...13 Optional Parts 13 1 List of Cables 164 1WMPD4004444 12 4 3 Four Channel Voltage Module RA30 102 Exterior...
Страница 165: ...12 Specifications 12 4 Exterior 1WMPD4004444 165 12 4 4 Two Channel Voltage Module RA30 103 Exterior...
Страница 166: ...13 Optional Parts 13 1 List of Cables 166 1WMPD4004444 12 4 5 16 Channel Logic Module RA30 105 Exterior...
Страница 167: ...12 Specifications 12 4 Exterior 1WMPD4004444 167 12 4 6 Two Channel Temperature Module RA30 106 Exterior...
Страница 168: ...13 Optional Parts 13 1 List of Cables 168 1WMPD4004444 12 4 7 Remote Control Module RA30 112 Exterior...
Страница 173: ...13 Optional Parts 13 2 List of Probes Clamp Meters 1WMPD4004444 173 MEMO...
Страница 174: ...13 Optional Parts 13 4 List of Spare Parts 174 1WMPD4004444 MEMO...
Страница 175: ...Omniace RA3100 Instruction Manual 1WMPD4004444 1st Edition...