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DEVELOPMENT OF A MATLAB-BASED TOOLBOX FOR TIDE GAUGE

RECORDS USING HILBERT-HUANG TRANSFORM







A THESIS SUBMITTED TO

THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES

OF

MIDDLE EAST TECHNICAL UNIVERSITY





BY





AYDIN JAMALI







IN PARTIAL FULFILMENT OF THE REQUIREMENTS

FOR

THE DEGREE OF MASTER OF SCIENCE

IN

GEODETIC AND GEOGRAPHIC INFORMATION TECHNOLOGIES









SEPTEMBER 2013

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CHAPTER6



MATLAB BASED HHT/HA TOOLBOX





6.1 Programing Environment

Hilbert Huang transform and Harmonic analysis toolbox (HHT/HA) was developed in

MATLAB environment. MATLAB is high performance language for technical and

mathematical computing. It includes computation, visualization and programing in an

easy-to-use environment.

Typically MATLAB uses in math and computation, data Acquisition, data analyzing

and data visualization, scientific and engineering graphics and application

development, including graphical user interface (GUI).

In MATLAB, basic data element is the matrix and simple integer is considered a

matrix of one row and one column that does not require dimensioning. This allows

solving computation problem, especially those works with matrix and vector, in a

fraction of time (The Math Work INC.,2004).

6.2 TOOLBOX definition

In order to run HHT/HA toolbox, MTLAB should be installed in related computer.

HHT/HT toolbox is compatible with MATLAB version 7.11.0(R2010b) and has not

been tested for the previous versions.

HHT/HA consist of 34 MATLAB files with the total size of the 100 KB. Before

running the HHT/HT toolbox, all related files should be pasted into same folder of the

operation system.

HHT/HT can be run within MATLAB simply typing “emd_ha” in the MATLAB’s

command window. This opens the main window of HHT/HT (See Figure 9) with the

pushbuttons to reach following functions of the toolbox.

Open file

Outlier

Empirical Mode decomposition

Harmonic analysis

Hilbert Huang Transform

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Figure 9: The graphical user interface for main window of the HHT/HA toolbox

With Open file function, observation data file, especially tidal data file for this study

in .txt format import into the HHT/HA toolbox and appear the file pass in “path to

file” section. Note that all gaps of data have been removed when data import and

graphic of the data appear in below of the interface. Figure 6 shows the interface of

the “open file” with related data graphic.

If data have outliers, user can implement Three-sigma outlier test in Outlier section.

After preprocessing of data, the user can process its data by data analysis section. In

empirical mode decomposition, tidal data have been decomposed to its inherent

functions by using empirical decomposition mode. The EMD uses stopping criteria

based on the explanation in previous chapters with maximum 3000 iteration. The

EMD can present all IMFs of the tidal data. Figure 10 shows the sifting procedure of

the Antalya tide gauge station’s data. As can be seen in Figure 10, the first signal

shows the signal in iteration 309 before sifting and includes upper and lower envelope.

Second signal shows the signal after sifting in the same iteration and last one shows

the residue.

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Magrin-Chagnolleau, I., & Baraniuk, R. G. (1999, October). Empirical mode

decomposition based time-frequency attributes. In 1999 SEG Annual Meeting.

Oppenheim, A. V. & Schafer, R. W. 1989 Digital signal processing. Englewood Cli_s,

NJ: Prentice-Hall.



�3�D�W�W�X�O�O�R�����-�������0�X�Q�N�����:�������5�H�Y�H�O�O�H�����5�������D�Q�G���6�W�U�R�Q�J�����(���������������������³�7�K�H���6�H�D�V�R�Q�D�O���2�V�F�L�O�O�D�W�L�R�Q��
�L�Q���6�H�D���/�H�Y�H�O���´���-�R�X�U�Q�D�O���R�I���0�D�U�L�Q�H���5�H�V�H�D�U�F�K��������, 88�±155.
Pawlowicz, R., Beardsley, B., & Lentz, S. (2002). Classical tidal harmonic analysis

including error estimates in MATLAB using T_TIDE. Computers &

Geosciences, 28(8), 929-937

Percival, D. B., & Mofjeld, H. O. (1997). Analysis of subtidal coastal sea level

fluctuations using wavelets. Journal of the American Statistical Association,92(439),

868-880.

Pidwirny, M. (2006). Earth-Sun Geometry. Fundamentals of Physical Geography, 2nd

�(�G�L�W�L�R�Q�����)�R�U�P�D�W�D�G�R�����)�R�Q�W�H�����3�D�G�U�m�R����

Pugh, D. T. (1996). Tides, surges and mean sea-level (reprinted with corrections).

John Wiley & Sons Ltd



Ro, Y. J. (2007). Tidal and sub-tidal current characteristics in the Kangjin Bay, South

Sea, Korea. Ocean Science Journal, 42(1), 19-30.



�5�R�G�H�Q�����*�����,���������������������³�2�Q���W�K�H���1�R�Q�V�H�D�V�R�Q�D�O���9ariations in Sea Level along the West
�&�R�D�V�W���R�I���1�R�U�W�K���$�P�H�U�L�F�D���´�-�R�X�U�Q�D�O���R�I���*�H�R�S�K�\�Vical Research, 65, 2,800�±2,826.

Ross, D.A. 1995. Introduction to Oceanography. New York, NY: HarperCollins. pp.

236- 242.

Rudi, J., Pabel, R., Jager, G., Koch, R., Kunoth, A., & Bogena, H. (2010). Multiscale

analysis of hydrologic time series data using the Hilbert�±Huang
transform. UNKNOWN, 9(4), 925-942.



Sezen, E., & Baybura, T. (2010). The investigation of long-term sea level variations at

Antalya-I (1935-1977) and Antalya-II (1985-2005) Tide Gauge Stations

(Turkey). Scientific Research and Essays, 5(10), 1100-1110.



Shiono, M., Suzuki, K., & Kiho, S. (2002, May). Output characteristics of Darrieus

water turbine with helical blades for tidal current generations. InProceedings of the

Twelfth International Offshore and Polar Engineering Conference, Kitakyushu,

Japan (pp. 859- 864).

Page 91

77


Simon, B., Lemaitre, A., & Souchay, J. (2013). Oceanic Tides. In Tides in Astronomy

and Astrophysics (pp. 83-114). Springer Berlin Heidelberg.

Simpson, J. J. 1991 Oceanographic and atmospheric applications of spatial statistics

and digital image analysis. In Spatial statistics and digital image analysis. Washington,

DC: National Academy.

�6�S�L�O�O�D�Q�H�����0�����&�������(�Q�I�L�H�O�G�����'�����%�������D�Q�G���$�O�O�H�Q�����-�����6���������������������³�,�Q�W�U�Dseasonal Oscillations in
�6�H�D���/�H�Y�H�O���D�O�R�Q�J���W�K�H���:�H�V�W���&�R�D�V�W���R�I���W�K�H���$�P�H�U�L�F�D�V���´���-�R�X�U�Q�D�O���R�I���3�K�\�Vical Oceanography,
17, 313�±325.


�6�W�U�X�E���� �3���� �7������ �D�Q�G�� �-�D�P�H�V���� �&���� ���������������� �³�$�W�P�R�V�S�K�H�U�L�F�� �&�R�Q�G�L�W�L�R�Q�V�� �G�X�U�L�Q�J�� �W�K�H�� �6�S�U�L�Q�J�� �D�Q�G��
Fall Transitions in the Coastal Ocean off the Wester�Q�� �8�Q�L�W�H�G�� �6�W�D�W�H�V���´�� �-�R�X�U�Q�D�O�� �R�I��
Geophysical Research, 93, 15,561�±15,584.


Strub, P. T., Allen, J. S., Huyer, A., Smith, R .L., and Beardsley, R. C. (1987b),

�³�6�H�D�V�R�Q�D�O�� �&�\�F�O�H�V�� �R�I�� �&�X�U�U�H�Q�W�V���� �7�H�P�S�H�U�D�W�X�U�H�V���� �:�L�Q�G�V���� �D�Q�G�� �6�H�D�� �/�H�Y�H�O�� �2�Y�H�U�� �W�K�H��
Northeast Pacific Continenta�O���6�K�H�O�I�����������1���W�R���������1���´���-�R�X�U�Q�D�O���R�I���*�H�R�S�K�\�V�L�F�D�O���5�H�V�H�D�U�F�K����
92, 1,507�±1,526.

Sumich, J.L. 1996. An Introduction to the Biology of Marine Life, sixth edition.

Dubuque, IA: Wm. C. Brown. pp. 30-35.

Temam, R. (1995). Navier-Stokes equations and nonlinear functional analysis (Vol.

66). Siam

Thurman, H.V. 1994. Introductory Oceanography, seventh edition. New York, NY:

Macmillan. pp. 252-276

Titchmarsh, E. C. 1948 Introduction to the theory of Fourier integrals. Oxford

University Press.

Torge, W. (2001). Geodesy. Walter de Gruyter.

�ù�H�ú�H�R�÷�X�O�O�D�U�Õ���� �%������ �(�U�L�ú���� �(������ � �� �.�D�K�\�D���� �(���� ���������������� �7�U�H�Q�G�� �D�Q�D�O�\�V�L�V�� �R�I�� �V�H�D�� �O�H�Y�H�O�V�� �D�O�R�Q�J��
Turkish coasts. Hydrology Days, 19-21.

�=�H�L�O�H�U�����$�������)�D�O�W�H�U�P�H�L�H�U�����5�������.�H�F�N�����,�����5�������7�R�P�p�����$�����0�������3�X�Q�W�R�Q�H�W�����&�����*������� ���/�D�Q�J�����(�����:����
(2010, July). Empirical mode decomposition-an introduction. In Neural Networks

(IJCNN), The 2010 International Joint Conference on (pp. 1-8). IEEE.

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