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All Journal NOTARIUS Matematika: Jurnal Teori dan Terapan Journal of Medical Physics and Biophysics Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Desimal: Jurnal Matematika Jurnal Ilmiah Matrik BAREKENG: Jurnal Ilmu Matematika dan Terapan Journal of Physics and Its Applications INSIST (International Series on Interdisciplinary Research) Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Riset Matematika Bandung Conference Series: Mathematics Jurnal Matematika Integratif Matematika Limits: Journal of Mathematics and Its Applications
Gani Gunawan
Prodi Matematika, Fakultas Matematika Dan Ilmu Pengetahuan Alam, Universitas Islam Bandung, Indonesia.
Arts Humanities Astronomy Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Social Sciences Transportation Other

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Pengamatan Parameter Paling Berpengaruh terhadap Terjadinya Substorm Tahun 1999 menggunakan Metode Korelasi Firdy Adi; Fitri Nuraeni; Gani Gunawan
Matematika: Jurnal Teori dan Terapan Matematika Vol. 24 No. 2 (2025): Jurnal Matematika
Publisher : UPT Publikasi Universitas Islam Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/matematika.v24i2.2280

Abstract

Abstrak. Pengamatan dan pengukuran aktivitas matahari merupakan hal yang penting untuk dilakukan guna mengetahui fenomena substorm yang terjadi pada magnetosfer bumi. Pada tahun 1999, sebuah studi dilakukan untuk mengeksplorasi parameter yang berpengaruh terhadap terjadinya substorm menggunakan metode korelasi. Metode ini diterapkan untuk mempelajari hubungan antara parameter seperti kecepatan, densitas, dan tekanan dinamis (Pdyn) dengan terjadinya fenomena substorm. Setelah mempertimbangkan plot Pdyn berdurasi dengan penerapan metode korelasi, dapat disimpulkan bahwa kenaikan tekanan dinamik angin surya yang ditunjukan dengan indeks Pdyn mempunyai korelasi yang lemah, baik terhadap indeks AE sebagai indeks terjadinya substorm maupun durasi lamanya substorm. Pada pengamatan data tahun 1999, kedua hubungan data tersebut dikategorikan lemah karena berada pada rentang nilai 0 sampai 0,19. Lemahnya hubungan kedua parameter tadi disebabkan adanya parameter-parameter ataupun mekanisme fisis lain yang perlu dipertimbangkan dalam pembentukan substorm untuk mengetahui secara menyeluruh peristiwa substorm tersebut, baik intensitas(AE) maupun durasi. Abstract. Observations and measurements made on solar activity are important to understand the substorm phenomena that occur in the Earth's magnetosphere. In 1999, a study was conducted to explore the parameters that influence the occurrence of substorms using the correlation method. The method was used to study the relationship between parameters such as velocity, density, and dynamic pressure (Pdyn) with the occurrence of substorm phenomena. After considering the Pdyn plot with duration by applying the correlation method, it can be concluded that the increase in solar wind dynamic pressure indicated by the Pdyn index has a weak correlation to both the AE index as an index of the occurrence of substorms and the duration of substorms. In observing the 1999 data, the two data sets are categorized as weak, with values ranging from 0 to 0.19. The cause of the weak relationship between the two parameters is that there are parameters or other physical mechanisms that need to be considered in the formation of substorms in order to be able to thoroughly understand about substorm events, including both the intensity (AE) and the duration of the substorm.
Convolution One Dimensional Continuous Function on Fourier Series Expansion Gunawan, Gani; Respitawulan, Respitawulan; Fikri, Fariz Fahmi
Jurnal Matematika Integratif Vol 22, No 1: April 2026
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v22.n1.70224.83-90

Abstract

Convolution is an operation that involves two functions that can be used to transform a continuous input signal at every point in its domain so that a smooth output signal is produced at every point in the domain interval [1],[2]. But what happens when the convolution operation is applied to a function that is expanded through a Fourier series. The series is a series with a basis of differentiable functions, and how to perform convolutions that are expanded through the Fourier series. In this article, we will show a discussion to determine the product of the convolution function on the expansion of the Fourier series and the results obtained. Convolution One Dimensional ContinuousFunction on Fourier Series Expansion
Analisis Superposisi Gelombang Menggunakan Transformasi Fourier Diskrit Fajar Ilham; Yani Ramdani; Gani Gunawan
Jurnal Riset Matematika Volume 5, No.2, Desember 2025, Jurnal Riset Matematika (JRM)
Publisher : UPT Publikasi Ilmiah Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jrm.v5i2.8342

Abstract

Abstract. This study examines the use of the Discrete Fourier Transform (DFT) in analyzing wave superposition phenomena through a spectral approach. By utilizing the DFT, complex signals resulting from the overlap of periodic and non-periodic waves are decomposed into their constituent frequency components. The transformation process from the time domain to the frequency domain allows the extraction of critical parameters such as amplitude, dominant frequency, and phase shift for each individual wave. This analysis emphasizes the ability of the DFT to map the signal energy distribution and identify patterns of interfrequency interactions that are not observed in the time domain. Through numerical simulations, the accuracy of the signal reconstruction based on spectral components is evaluated by considering factors such as frequency resolution and aliasing effects. The verification results indicate that the DFT provides a reliable framework for understanding the dynamics of wave superposition, especially in the context of real time. Abstrak. Penelitian ini mengkaji pemanfaatan Transformasi Fourier Diskrit (DFT) dalam menganalisis fenomena superposisi gelombang melalui pendekatan spektral. Dengan memanfaatkan DFT, sinyal kompleks yang dihasilkan dari tumpang tindih gelombang periodik maupun non-periodik didekomposisi ke dalam komponen frekuensi penyusunnya. Proses transformasi dari ranah waktu ke ranah frekuensi memungkinkan ekstraksi parameter kritis seperti amplitudo, frekuensi dominan, dan pergeseran fase untuk setiap gelombang individu. Analisis ini menekankan kemampuan DFT dalam memetakan distribusi energi sinyal serta mengidentifikasi pola interaksi antarfrekuensi yang tidak teramati dalam domain waktu. Melalui simulasi numerik, ketepatan rekonstruksi sinyal berbasis komponen spektral dievaluasi dengan mempertimbangkan faktor seperti resolusi frekuensi dan efek aliasing. Hasil verifikasi menunjukkan bahwa DFT memberikan kerangka kerja yang andal untuk memahami dinamika superposisi gelombang, terutama dalam konteks pemrosesan sinyal real time.
Co-Authors 10060221021, Fajar Ilham Maulana Achmad Fariz Aden, Aden Agustini, Indah Widia Ajat Lasmana Alexander Agung Ali Khumaeni Andriyani, Devy Asep Yoyo Wardaya Beltsazar, Ferdinand Budi Ispriyarso Chorirul Anam Deni Darmawan Desyandri Desyandri Didi Suhaedi Elsa Fitria Ema Carnia Endang Rusyaman Erwin Harahap Erwin Harahap Eti Kurniati Eti Kurniati Fadilatil Zikri Fajar Ilham Fariz Fahmi Fikri Firdy Adi Fitri Nuraeni Hanif Afkari Hendra Gunawan Herlina Zainal Hiroaki Nishi Icih Sukarsih Ikbal Permana Jovita Fortunata 10060222002 M Yusuf Fajar M. Yusuf Fajar M. Yusuf Fajar M. Yusuf Fajar Mubarok, Faris Muhamad Ihsan Maulidan Ninda Rizkya Shafana Nisa Nizan Nur Fadilah Putri Yulinar, Yeazelya Qirana Azmil Zamhur Rados Vremiro Raesa Novandika Hidayat Rafly Anugerah Respita Wulan Respita Wulan Respita Wulan, Respita Respitawulan S. Suwanda Salsabilla L Veliani Shahnaz Afia Silvy Faiza Ryadi Sri Imas Nur Azizah Suciana Fratama Sukono Sukono Syahrul Zein Tabah Heri Setiawan Wahyu Setia Budi Yani Ramdani Zarista, Ramzil Huda