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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)