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∗ ∗
4.8×10−7
∗
1.9×10−6
X(t), t ∈R+
kHz
cm s−1
X(t)
X(t) =
∞
X
j=0
ajeiωjt.
X(t)
ajωjajωj
X(t)
X(t) =
n
X
j=1
aj(t)ei2πRωj(τ)dτ +Rn+1(t)
aj(t)ωj(t)
n+ 1 Rn+1(t)
4.0x10-5
1.5x10-5
3.8x10-6
9.5x10-7
2.4x10-7
5.9x10-8
Frequency (Hz)
1500
1000
500
0
0.005
0.004
0.003
0.002
0.001
0
A)
10
8
6
4
2
0
a (t)
B)
C)
a (t)
Frequency (Hz)
Frequency (Hz)
4.0x10-5
1.5x10-5
3.8x10-6
9.5x10-7
2.4x10-7
5.9x10-8
4.0x10-5
1.5x10-5
3.8x10-6
9.5x10-7
2.4x10-7
5.9x10-8
a (t)
Current speed (cm s-1)
Salinity
03.2009 05.2009 07.2009 09.2009 11.2009 01.2010 03.2010 05.2010 07.2010
03.2009 05.2009 07.2009 09.2009 11.2009 01.2010 03.2010 05.2010 07.2010
03.2009 05.2009 07.2009 09.2009 11.2009 01.2010 03.2010 05.2010 07.2010
Bioluminescence (kHz)
Bioluminescence (kHz) /
Current speed (cm s-1)
Bioluminescence (kHz) /
Salinity
4.0x10-5
1.5x10-5
3.8x10-6
9.5x10-7
2.4x10-7
5.9x10-8
4.0x10-5
1.5x10-5
3.8x10-6
9.5x10-7
2.4x10-7
5.9x10-8
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
03.2009 05.2009 07.2009 09.2009 11.2009 01.2010 03.2010 05.2010 07.2010
Coherence
coefficient C(a,b)
A)
Coherence
coefficient C(a,b)
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
03.2009 05.2009 07.2009 09.2009 11.2009 01.2010 03.2010 05.2010 07.2010
Frequency (Hz)
Frequency (Hz)
B)
9.5 1.9×10−6Hz
A)
B)
6.1×10−6
5.7×10−6
1.1×10−5
1.9×10−6
4.8×10−7Hz
A)
B)
C)
Bioluminescence (kHz) WX (a,b)
Current speed (cm s-1)WX (a,b)
WX (a,b)
Salinity
WX(a, b)