{"id":21181,"date":"2023-12-27T15:45:28","date_gmt":"2023-12-27T08:45:28","guid":{"rendered":"https:\/\/ee.uii.ac.id\/?p=21181"},"modified":"2026-02-05T18:19:04","modified_gmt":"2026-02-05T11:19:04","slug":"antena-larik-linier-pemodelan-dan-simulasi-untuk-doa-bagian-1","status":"publish","type":"post","link":"https:\/\/ee.uii.ac.id\/en-ip\/antena-larik-linier-pemodelan-dan-simulasi-untuk-doa-bagian-1\/","title":{"rendered":"Antena Larik Linier : Pemodelan dan Simulasi untuk DoA (Bagian 1)"},"content":{"rendered":"<p><strong>A. Definisi dan Jenis Antena larik<\/strong><\/p>\n\n\n\n<p>Sahabat CENDIKIA, pasti kalian pernah mengetahui atau paling tidak mendengar \u201cantena\u201d bukan? Komponen ini memiliki peran yang sangat vital dalam teknologi komunikasi nirkawat (<em>wireless<\/em>) seperti radio, televisi, sistem komunikasi seluler, satelit dll. Antena merupakan struktur logam yang berfungsi untuk memancarkan dan menerima gelombang radio [1]. Antena juga diartikan sebagai antarmuka (<em>interface<\/em>) antara gelombang radio yang berada di ruang bebas (<em>free space<\/em>) dengan arus listrik yang merambat melalui logam. Jenis dan ukuran antena bermacam \u2013 macam. Salah satu jenis antena yang banyak digunakan dalam teknologi telekomunikasi seluler adalah antena larik (<em>array<\/em>). Antena ini juga biasa disebut <em>microstrip antenna <\/em>atau <em>printed antenna <\/em>karena antena tersebut dirancangan dengan teknik <em>Photolithographic <\/em>atau <em>optical lithography<\/em> yang diterapkan pada <em>Printed Circuit Board <\/em>(PCB) [2].<\/p>\n\n\n\n<p>Larik antena terdiri dari elemen berupa antena atau patch berjarak tertentu yang terdapat pada suatu antena dasar. Berdasarkan struktur geometri, larik antena dibagi menjadi dua yakni larik linier dan larik planar seperti ditunjukkan pada Gambar 1.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img fetchpriority=\"high\" decoding=\"async\" width=\"796\" height=\"513\" src=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image.png\" alt=\"\" class=\"wp-image-21182\" style=\"aspect-ratio:1.5516569200779726;width:613px;height:auto\" srcset=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image.png 796w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-300x193.png 300w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-768x495.png 768w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-18x12.png 18w\" sizes=\"(max-width: 796px) 100vw, 796px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><span lang=\"EN-US\" style=\"font-size:11.0pt;line-height:107%;font-family:&quot;Calibri&quot;,sans-serif;mso-fareast-font-family:Calibri;mso-ansi-language:EN-US;mso-fareast-language:IN;mso-bidi-language:AR-SA\"><strong>Gambar 1 <\/strong>Pembagian antena larik berdasarkan struktur geometri [3]<\/span><\/p>\n\n\n\n<p>Contoh antena larik yang bekerja pada frekuensi 5G (28 GHz) dan memiliki 16 elemen antena ditunjukkan pada Gambar 2.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" width=\"940\" height=\"420\" src=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-1.png\" alt=\"\" class=\"wp-image-21183\" style=\"aspect-ratio:2.238095238095238;width:734px;height:auto\" srcset=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-1.png 940w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-1-300x134.png 300w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-1-768x343.png 768w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-1-18x8.png 18w\" sizes=\"(max-width: 940px) 100vw, 940px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><strong>Gambar 2 <\/strong>a. Antena larik linier yang memiliki 16 elemen antena, b. Dimensi antena larik dengan panjang 99.2 mm dan lebar 17.45 mm.<\/p>\n\n\n\n<p>Gambar 2 menunjukkan ukuran antena larik dengan dimensi yang sangat kecil karena antena tersebut digunakan di frekuensi tinggi yakni 28 GHz. Ingat rumus bagaimana menghitung panjang antena (<em>lambda<\/em>)<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>f=c\/\u03bb<\/pre><\/div>\n\n\n\n<p>Dengan <span class=\"katex-eq\" data-katex-display=\"false\">f=28.10^9 Hz<\/span>,<span class=\"katex-eq\" data-katex-display=\"false\">c=3.10^8 m\/s<\/span>,  maka <span class=\"katex-eq\" data-katex-display=\"false\">\u03bb=1,07 cm<\/span> atau mendekati panjang dari antena pada Gambar 2 yakni 0.99 cm.<\/p>\n\n\n\n<p><strong>B. Antena Larik Linier (<em>Linear Array<\/em>)<\/strong><\/p>\n\n\n\n<p>Larik Linier dibagi menjadi dua yaitu larik ULA (<em>Uniform Linear Array<\/em>) atau Larik Linier Seragam dan larik <em>non-<\/em>ULA atau Larik Linier Tidak Seragam. Keduanya dibedakan berdasarkan jarak antar antena pada larik. Larik Linier Seragam memiliki jarak yang sama antar antena yang satu dengan yang lain pada larik dan larik jenis ini dibedakan menjadi Larik Ganjil dan Larik Genap. Jika <img decoding=\"async\" width=\"15\" height=\"19\" src=\"\">&nbsp;adalah posisi antena pada sumbu koordinat <em>x <\/em>maka letak antena ke-<em>n <\/em>pada sumbu tersebut ditentukan oleh<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\"><span class=\"katex-eq\" data-katex-display=\"false\">x_n=(n-(N-1)\/2)d<\/span> ,<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\">(1)<\/p>\n<\/div>\n<\/div>\n\n\n\n<p>dengan d adalah jarak antar antena, N adalah jumlah antena pada larik, dan <span class=\"katex-eq\" data-katex-display=\"false\">n=0,1,\u2026,N-1.<\/span> Untuk Larik Linier Tidak Seragam, antar antena yang satu dengan yang lain memiliki jarak yang tidak sama. Secara matematis, struktur antena larik linier yang memiliki M antena ditunjukkan oleh Gambar 3. Terdapat beberapa istilah pada pemodelan matematis sebuah antena larik linier. Pemodelan ini sangat penting ketika digunakan untuk menyelesaikan beberapa permasalahan seperti dengan menggunakan antena larik seperti pencarian arah-datang sinyal atau isyarat (Direction-of-Arrival, DoA). Terdapat <span class=\"katex-eq\" data-katex-display=\"false\">s(t)<\/span> sebagai sinyal yang berasal dari pemancar lain, <span class=\"katex-eq\" data-katex-display=\"false\">\u03b8<\/span> adalah sudut datang atau sudut yang dibentuk antara sinyal datang relatif dengan antena. Parameter penting dalam antena larik adalah vektor larik sebagai fungsi <span class=\"katex-eq\" data-katex-display=\"false\">\u03b8<\/span> sehingga bisa dituliskan dengan <span class=\"katex-eq\" data-katex-display=\"false\">a(\u03b8)<\/span>.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"469\" height=\"407\" src=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-7.png\" alt=\"\" class=\"wp-image-21213\" srcset=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-7.png 469w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-7-300x260.png 300w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-7-14x12.png 14w\" sizes=\"(max-width: 469px) 100vw, 469px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><strong>Gambar 3<\/strong> Struktur ULA dengan <em>M<\/em> antena<\/p>\n\n\n\n<p>Vektor larik merepresentasikan isyarat yang diterima oleh satu elemen antena relatif terhadap elemen antena yang lain. Vektor larik untuk antena ke-1 hingga antena ke-<em>M<\/em> pada Gambar 3 [4] dinyatakan dengan<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"41\" src=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-8.png\" alt=\"\" class=\"wp-image-21214\" style=\"aspect-ratio:8.170731707317072;width:384px;height:auto\" srcset=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-8.png 335w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-8-300x37.png 300w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-8-18x2.png 18w\" sizes=\"(max-width: 335px) 100vw, 335px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\">(2)<\/p>\n<\/div>\n<\/div>\n\n\n\n<p>dengan M adalah jumlah antena, \u03b8 adalah DoA (dalam derajat), dan \u03bb sebagai panjang gelombang (dalam meter). Array factor (AF) didefinisikan dengan [5]<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"229\" height=\"53\" src=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-9.png\" alt=\"\" class=\"wp-image-21221\" style=\"aspect-ratio:4.320754716981132;width:315px;height:auto\" srcset=\"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-9.png 229w, https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/image-9-18x4.png 18w\" sizes=\"(max-width: 229px) 100vw, 229px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\">(3)<\/p>\n<\/div>\n<\/div>\n\n\n\n<p>dengan <span class=\"katex-eq\" data-katex-display=\"false\">w_n<\/span> adalah pembobot (weight) untuk n=1, 2, \u2026, M. Besarnya AF digunakan untuk menentukan pola-beam (beampattern).<br>Pada bagian yang selanjutnya, kita akan berdiskusi tentang pemodelan sinyal terima dengan menggunakan antena larik linier untuk estimasi DoA.<\/p>\n\n\n\n<p><strong>Referensi :<\/strong><\/p>\n\n\n\n<p>[1] https:\/\/www.nasa.gov\/directorates\/heo\/scan\/communications\/outreach\/funfacts\/txt_antenna.html<br>[2] Lee, Kai Fong; Luk, Kwai Man (2017). Microstrip Patch Antennas. World Scientific. pp. 8\u201312. ISBN 978-981-3208-61-2<br>[3] H. L. Van Trees, Optimum array processing. New York: Wiley, 2002<br>[4] J. Foutz, A. Spanias, and M. K. Banavar, Narrowband Direction of Arrival Estimation for Antenna Arrays, vol. 3. 2008.<\/p>\n\n\n\n<p><strong>Oleh: <\/strong><a href=\"mailto:195240101@uii.ac.id\">Hasbi Nur Prasetyo Wisudawan<\/a><strong><\/strong><\/p>","protected":false},"excerpt":{"rendered":"<p>A. Definisi dan Jenis Antena larik Sahabat CENDIKIA, pasti kalian pernah mengetahui atau paling tidak mendengar \u201cantena\u201d bukan? Komponen ini memiliki peran yang sangat vital dalam teknologi komunikasi nirkawat (wireless) seperti radio, televisi, sistem komunikasi seluler, satelit dll. Antena merupakan struktur logam yang berfungsi untuk memancarkan dan menerima gelombang radio [1]. Antena juga diartikan sebagai [&hellip;]<\/p>","protected":false},"author":2,"featured_media":21223,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[7,1],"tags":[],"class_list":["post-21181","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pojok-civitas","category-uncategorized"],"jetpack_featured_media_url":"https:\/\/ee.uii.ac.id\/wp-content\/uploads\/2023\/12\/Antena-larik-linier-copy.webp","yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v15.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Antena Larik Linier : Pemodelan dan Simulasi untuk DoA (Bagian 1) - Teknik Elektro UII<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ee.uii.ac.id\/en-ip\/antena-larik-linier-pemodelan-dan-simulasi-untuk-doa-bagian-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Antena Larik Linier : Pemodelan dan Simulasi untuk DoA (Bagian 1) - Teknik Elektro UII\" \/>\n<meta property=\"og:description\" content=\"A. Definisi dan Jenis Antena larik Sahabat CENDIKIA, pasti kalian pernah mengetahui atau paling tidak mendengar \u201cantena\u201d bukan? Komponen ini memiliki peran yang sangat vital dalam teknologi komunikasi nirkawat (wireless) seperti radio, televisi, sistem komunikasi seluler, satelit dll. Antena merupakan struktur logam yang berfungsi untuk memancarkan dan menerima gelombang radio [1]. 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