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PERFORMANCE COMPARISON OF SOME TYPES OF WAVELET TRANSFORMS FOR TOURISM DATA PATTERN APPROXIMATION

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 3 (2025) · pp. 1905–1922

DOI
10.30598/barekengvol19iss3pp1905-1922
ISSN
2615-3017, 1978-7227
Published
2025-07-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

Tourism is an economic sector that significantly supports the country's foreign exchange, including in West Nusa Tenggara Province (NTB). Data on tourist visits to an area, including to NTB, is a representation of time series data. The wavelet method is one of the tools that is quite reliable for modeling time series data. This study aims to model the number of tourist visits to NTB Province using discrete wavelet transformation decomposition to estimate data. Several Wavelet functions such as Haar wavelet, Symlet, Coiflet, Daubechies, Best-localized Daubechies, Fejér-Korovkin, and Bi-orthogonal Splines at various orders and levels of decomposition became the basis for simulation in modeling data. Based on the Root of Mean of Square Error (RMSE) indicator, this study compares the performance of each wavelet function against the modeling performance at various orders and levels of decomposition. Numerically, for the data on the total number of tourists visiting NTB Province, the best approximation was given by the Fejér-Korovkin wavelet order 4-th (fk4) and the best-localized Daubechies wavelet order 7-th (bl7) at the 2-nd level with an RMSE value of 2.2993 × 10-11. Partially, the best approximation of the data on the number of foreign tourist visits was given by the Bi-orthogonal Splines wavelet type order 2.6 (bior2.6) at the 2nd decomposition level with an RMSE value of 1.1718 × 10-11 and for the data on domestic tourist visits was given by the Fejér-Korovkin wavelet type order 4-th (fk4) and the best-localized Daubechies wavelet order 7-th (bl7) at the 2nd level with an RMSE value of 1.3352 × 10-11.

Collaboration network of the authors

27 authors · 46 co-authorship links

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  • State University of Medan
  • Satya Wacana Christian University
  • Politeknik Negeri Ujung Pandang
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Marwan MarwanPoliteknik Negeri Ujung Pandang2
Annisa Zaen FebryantikaAffiliation unknown2
La Onu La OlaAffiliation unknown1
Utama K. PangerangAffiliation unknown1
Sitti Wahidah MasnaniAffiliation unknown1
Tirsa AminahAffiliation unknown1
Fauziah Khairani LubisState University of Medan1
Adi SetiawanSatya Wacana Christian University1
Khairul AnsharAffiliation unknown1
Zainuddin GintingAffiliation unknown1
Nirwanto NirwantoAffiliation unknown1
Lisa HarsyiahAffiliation unknown1
septia amrylianaAffiliation unknown1
Muhammad Rijal AlfianAffiliation unknown1
I Gede Adhitya Wisnu WardhanaAffiliation unknown1
Rio SatriyantaraAffiliation unknown1
Mutiara Aeqi Permata PrasetyoAffiliation unknown1
Ni Luh Dewi SintiariAffiliation unknown1
Gede Adhitya Wisnu WardhanaAffiliation unknown1
Nuzla Af’idatur RobbaniyyahAffiliation unknown1
Ismi AsmawatiAffiliation unknown1
Andi Lukman IrwanAffiliation unknown1
Nurlinah NurlinahAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">PERFORMANCE COMPARISON OF SOME TYPES OF WAVELET TRANSFORMS FOR TOURISM DATA PATTERN APPROXIMATION</dc:title>
	<dc:creator>Bahri, Syamsul</dc:creator>
	<dc:creator>Awalushaumi, Lailia</dc:creator>
	<dc:creator>Syechah, Bulqis Nebulla</dc:creator>
	<dc:creator>Pradana, Satriawan</dc:creator>
	<dc:description xml:lang="en-US">Tourism is an economic sector that significantly supports the country's foreign exchange, including in West Nusa Tenggara Province (NTB).&amp;nbsp; Data on tourist visits to an area, including to NTB, is a representation of time series data.&amp;nbsp; The wavelet method is one of the tools that is quite reliable for modeling time series data.&amp;nbsp;&amp;nbsp; This study aims to model the number of tourist visits to NTB Province using discrete wavelet transformation decomposition to estimate data.&amp;nbsp; Several Wavelet functions such as Haar wavelet, Symlet, Coiflet, Daubechies, Best-localized Daubechies, Fejér-Korovkin, and Bi-orthogonal Splines at various orders and levels of decomposition became the basis for simulation in modeling data.&amp;nbsp; Based on the Root of Mean of Square Error (RMSE) indicator, this study compares the performance of each wavelet function against the modeling performance at various orders and levels of decomposition.&amp;nbsp; Numerically, for the data on the total number of tourists visiting NTB Province, the best approximation was given by the Fejér-Korovkin wavelet order 4-th (fk4) and the best-localized Daubechies wavelet order 7-th (bl7) at the 2-nd level with an RMSE value of 2.2993 × 10-11.&amp;nbsp; Partially, the best approximation of the data on the number of foreign tourist visits was given by the Bi-orthogonal Splines wavelet type order 2.6 (bior2.6) at the 2nd decomposition level with an RMSE value of 1.1718 × 10-11 and for the data on domestic tourist visits was given by the Fejér-Korovkin wavelet type order 4-th (fk4) and the best-localized Daubechies wavelet order 7-th (bl7) at the 2nd level with an RMSE value of 1.3352 × 10-11.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-07-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17202</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss3pp1905-1922</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application; 1905-1922</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss3year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17202/10725</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Syamsul Bahri, Lailia Awalushaumi, Bulqis Nebulla Syechah, Satriawan Pradana</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>