{"id":96636,"date":"2020-10-13T07:42:45","date_gmt":"2020-10-13T05:42:45","guid":{"rendered":"https:\/\/prohoster.info\/blog\/administrirovanie\/opredelyaem-napravlenie-na-aeroport-s-pomoshhyu-rtl-sdr-i-gnu-radio"},"modified":"2020-10-13T07:42:45","modified_gmt":"2020-10-13T05:42:45","slug":"opredelyaem-napravlenie-na-aeroport-s-pomoshhyu-rtl-sdr-i-gnu-radio","status":"publish","type":"post","link":"https:\/\/prohoster.info\/sk\/blog\/administrirovanie\/opredelyaem-napravlenie-na-aeroport-s-pomoshhyu-rtl-sdr-i-gnu-radio","title":{"rendered":"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p>Ahoj, Habr!<\/p>\n<p>V s\u00fa\u010dasnosti existuje len nieko\u013eko komunika\u010dn\u00fdch \u0161tandardov, ktor\u00e9 s\u00fa na jednej strane zauj\u00edmav\u00e9 a fascinuj\u00face, na druhej strane ich opis nezaber\u00e1 500 str\u00e1n vo form\u00e1te PDF. Jedn\u00fdm z tak\u00fdchto, \u013eahko dek\u00f3dovate\u013en\u00fdch, je sign\u00e1l VHF Omni-directional Radio Beacon (VOR), ktor\u00fd sa pou\u017e\u00edva v a\u00e9ro navig\u00e1cii.<\/p>\n<p><img decoding=\"async\" alt=\"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio\" src=\"\/wp-content\/uploads\/2020\/10\/d2cb34b4e4f4d10f5805d83f68d9ca23.jpg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>VOR Beacon (c) wikimedia.org<\/i><\/p>\n<p>Na za\u010diatok ot\u00e1zka pre \u010ditate\u013eov \u2014 ako vytvori\u0165 sign\u00e1l tak, aby sa pomocou nedirek\u010dnej prij\u00edmacej ant\u00e9ny dalo ur\u010di\u0165 smer? Odpove\u010f ni\u017e\u0161ie.<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><\/p>\n<h2>Z\u00e1kladn\u00e9 inform\u00e1cie<\/h2>\n<p>\nSyst\u00e9m <noindex><a rel=\"nofollow\" href=\"https:\/\/en.wikipedia.org\/wiki\/VHF_omnidirectional_range\">Very high frequency Omni-directional Range<\/a><\/noindex> (VOR) sa pou\u017e\u00edva na a\u00e9ro navig\u00e1ciu u\u017e od 50-tych rokov minul\u00e9ho storo\u010dia a pozost\u00e1va z r\u00e1diom\u00e1ja\u010dikov s relat\u00edvne mal\u00fdm dosahom (100-200 km), ktor\u00e9 pracovuj\u00fa v rozsahu frekvenci\u00ed VKV 108-117 MHz. Dnes, v \u00e9re gigahertz, znie ozna\u010denie very high frequency pre tak\u00e9to frekvencie zvl\u00e1\u0161tne a u\u017e samo o sebe nazna\u010duje <i>vek<\/i> tohto \u0161tandardu, ale mimochodom, e\u0161te st\u00e1le funguj\u00fa m\u00e1ja\u010diky <noindex><a rel=\"nofollow\" href=\"https:\/\/en.wikipedia.org\/wiki\/Non-directional_beacon\">NDB<\/a><\/noindex>, ktor\u00e9 pracuj\u00fa v rozsahu stredn\u00fdch v\u013an 400-900 kHz. <\/p>\n<p>Um\u00edst\u011bn\u00ed sm\u011brov\u00e9 ant\u00e9ny na letadle je kon\u0161truk\u010dne nepraktick\u00e9, preto vznikla \u00faloha, ako zak\u00f3dova\u0165 v samotnom sign\u00e1li inform\u00e1cie o smere na m\u00e1ja\u010d. Princ\u00edp fungovania 'na prstoch' m\u00f4\u017eeme vysvetli\u0165 nasledovne. Predstavme si, \u017ee m\u00e1me oby\u010dajn\u00fd maj\u00e1k, ktor\u00fd vysiela \u00fazky l\u00fa\u010d zelen\u00e9ho svetla, ktor\u00e9ho lampa sa ot\u00e1\u010da raz za min\u00fatu. Je zrejm\u00e9, \u017ee raz za min\u00fatu budeme vidie\u0165 z\u00e1blesk svetla, ale jeden tak\u00fd z\u00e1blesk ve\u013ea inform\u00e1ci\u00ed nenesie. Pridajme k maj\u00e1ku druh\u00fa <i>nedirek\u010dn\u00fa<\/i> \u010derven\u00fa svetlo, ktor\u00e9 zaiskr\u00ed v okamihu, ke\u010f l\u00fa\u010d maj\u00e1ka \"prejde\" smerom na sever. Ke\u010f\u017ee je zn\u00e1ma doba z\u00e1bleskov a s\u00faradnice maj\u00e1ka, vypo\u010d\u00edtan\u00edm oneskorenia medzi \u010derven\u00fdmi a zelen\u00fdmi z\u00e1bleskami m\u00f4\u017eeme zisti\u0165 azimut na sever. Je to jednoduch\u00e9. Teraz sa len mus\u00edme pok\u00fasi\u0165 to ist\u00e9, ale pomocou r\u00e1dia. To bolo vyrie\u0161en\u00e9 zmenou f\u00e1z. Na prenos s\u00fa pou\u017eit\u00e9 dva sign\u00e1ly: f\u00e1za prv\u00e9ho je kon\u0161tantn\u00e1 (referen\u010dn\u00e1), f\u00e1za druh\u00e9ho (premenn\u00e1) sa men\u00ed zlo\u017eit\u00fdm sp\u00f4sobom v z\u00e1vislosti od smeru vy\u017earovania \u2014 ka\u017ed\u00e9mu uhlu zodpoved\u00e1 svoj posun f\u00e1zy. T\u00fdmto sp\u00f4sobom ka\u017ed\u00fd prij\u00edma\u010d dostane sign\u00e1l so \"svoj\u00edm\" posunom f\u00e1zy, ktor\u00fd je \u00famern\u00fd azimutu k maj\u00e1ku. Technol\u00f3gia \"priestorovej modul\u00e1cie\" sa realizuje pomocou \u0161peci\u00e1lnej ant\u00e9ny (Alford Loop, pozri KDPV) a pomocou \u0161peci\u00e1lnej, dos\u0165 komplikovanej modul\u00e1cie. To je vlastne t\u00e9mou tohto \u010dl\u00e1nku.<\/p>\n<p>Predstavme si, \u017ee m\u00e1me oby\u010dajn\u00fd legacy maj\u00e1k z 50. rokov, ktor\u00fd vysiela sign\u00e1ly v be\u017enej AM modul\u00e1cii pomocou Morseovej abecedy. Mo\u017eno, niekedy d\u00e1vno, navig\u00e1tor naozaj po\u010d\u00faval tieto sign\u00e1ly v sl\u00fachadl\u00e1ch a zaznamen\u00e1val smer pomocou prav\u00edtka a kru\u017eidla na mape. Chceme prida\u0165 nov\u00e9 funkcie k sign\u00e1lu, ale tak, aby sme \"neporu\u0161ili\" kompatibilitu so star\u00fdmi syst\u00e9mami. T\u00e9ma je zn\u00e1ma, ni\u010d nov\u00e9\u2026 Bolo to vykonan\u00e9 nasleduj\u00facim sp\u00f4sobom \u2014 k AM sign\u00e1lu bol pridan\u00fd n\u00edzkofrekven\u010dn\u00fd 30 Hz t\u00f3n, ktor\u00fd pln\u00ed funkciu referen\u010dn\u00e9ho f\u00e1zy sign\u00e1lu, a vysokofrekven\u010dn\u00e1 zlo\u017eka, zak\u00f3dovan\u00e1 frekven\u010dnou modul\u00e1ciou na frekvencii 9.96 kHz, pren\u00e1\u0161aj\u00faca premenn\u00fa f\u00e1zu sign\u00e1lu. Oddelen\u00edm dvoch sign\u00e1lov a porovnan\u00edm f\u00e1z z\u00edskavame po\u017eadovan\u00fd uhol od 0 do 360 stup\u0148ov, ktor\u00fd je potrebn\u00fdm azimutom. Z\u00e1rove\u0148 to nebr\u00e1ni po\u010d\u00favaniu maj\u00e1ka \"oby\u010dajn\u00fdm sp\u00f4sobom\" a zost\u00e1va kompatibiln\u00e9 so star\u00fdmi AM prij\u00edma\u010dmi. <\/p>\n<p>Prejdime od te\u00f3rie k praxi. Spust\u00edme SDR prij\u00edma\u010d, zvol\u00edme modul\u00e1ciu AM a \u0161\u00edrku p\u00e1sma 12 kHz. Frekvencie maj\u00e1kov VOR je mo\u017en\u00e9 \u013eahko n\u00e1js\u0165 na internete. Na spektre sign\u00e1l vyzer\u00e1 nasledovne:<\/p>\n<p><img decoding=\"async\" alt=\"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio\" src=\"\/wp-content\/uploads\/2020\/10\/0c3ce8f56cf66d9f42aea0d7a41a1cc9.jpg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nV tomto pr\u00edpade je sign\u00e1l maj\u00e1ka pren\u00e1\u0161an\u00fd na frekvencii 113.950 MHz. V strede je jasne rozpoznate\u013en\u00e1 l\u00ednia amplit\u00fadovej modul\u00e1cie a sign\u00e1ly Morseovej abecedy (.- \u2014 \u2026 \u010do znamen\u00e1 AMS, Amsterdam, letisko Schiphol). Naokolo, vo vzdialenosti 9.6 kHz od nosnej, s\u00fa vidite\u013en\u00e9 dva vrcholy, pren\u00e1\u0161aj\u00face druh\u00fd sign\u00e1l. <\/p>\n<p>Zap\u00ed\u0161eme sign\u00e1l do WAV (nie MP3 \u2014 kompresia so stratami \u00abzabije\u00bb cel\u00fa \u0161trukt\u00faru sign\u00e1lu) a otvor\u00edme ho v GNU Radio.<\/p>\n<h2>Dek\u00f3dovanie<\/h2>\n<p>\n<b>Krok 1<\/b>. Otvor\u00edme s\u00fabor so zap\u00edsan\u00fdm sign\u00e1lom a aplikujeme na\u0148 filter n\u00edzkych frekvenci\u00ed, aby sme z\u00edskali prv\u00fd referen\u010dn\u00fd sign\u00e1l. Graf GNU Radio je zobrazen\u00fd na obr\u00e1zku.<\/p>\n<p><img decoding=\"async\" alt=\"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio\" src=\"\/wp-content\/uploads\/2020\/10\/9f4c9f41ca6daaf7ad01d635c7c0983f.jpg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nV\u00fdsledok: n\u00edzkofrekven\u010dn\u00fd sign\u00e1l s frekvenciou 30 Hz.<\/p>\n<p><img decoding=\"async\" alt=\"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio\" src=\"\/wp-content\/uploads\/2020\/10\/c41754fc282773d82bf1c18243790f91.jpg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<b>Krok 2<\/b>: dek\u00f3dujeme sign\u00e1l s premennou f\u00e1zou. Ako bolo uveden\u00e9 vy\u0161\u0161ie, nach\u00e1dza sa na frekvencii 9,96 kHz, mus\u00edme ho prenies\u0165 na nulov\u00fa frekvenciu a poskytn\u00fa\u0165 na FM-demodul\u00e1tor.<\/p>\n<p>Graf GNU Radio:<\/p>\n<p><img decoding=\"async\" alt=\"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio\" src=\"\/wp-content\/uploads\/2020\/10\/b9ed97cf96ff37e6e4499e65dfabcead.jpg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n\u00daloha je vyrie\u0161en\u00e1. Vid\u00edme dva sign\u00e1ly, ktor\u00fdch rozdiel f\u00e1z indikuje uhol od prij\u00edma\u010da k VOR-maj\u00e1ku:<\/p>\n<p><img decoding=\"async\" alt=\"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio\" src=\"\/wp-content\/uploads\/2020\/10\/f4e5b8ed21ba562c01deb583524910c0.jpg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nSign\u00e1l je dostato\u010dne za\u0161umen\u00fd a na kone\u010dn\u00e9 v\u00fdpo\u010dty rozdielu f\u00e1zy m\u00f4\u017ee by\u0165 potrebn\u00e1 dodato\u010dn\u00e1 filtr\u00e1cia, ale princ\u00edp je d\u00fafam jasn\u00fd. Pre t\u00fdch, ktor\u00ed zabudli, ako sa stanovuje rozdiel f\u00e1z, obr\u00e1zok z <noindex><a rel=\"nofollow\" href=\"https:\/\/aviation.stackexchange.com\/questions\/33834\/what-causes-the-phase-to-change-in-a-vor\">aviation.stackexchange.com<\/a><\/noindex>:<\/p>\n<p><img decoding=\"async\" alt=\"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio\" src=\"\/wp-content\/uploads\/2020\/10\/529ab3d50c6002b8246f2528e4128c63.jpg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nNa\u0161\u0165astie, v\u0161etko toto nemus\u00edme robi\u0165 manu\u00e1lne: u\u017e existuje <noindex><a rel=\"nofollow\" href=\"https:\/\/github.com\/martinber\/vor-python-decoder\">hotov\u00fd projekt<\/a><\/noindex> v Pythone, ktor\u00fd dek\u00f3duje sign\u00e1ly VOR zo s\u00faborov WAV. Vlastne, jeho \u0161t\u00fadium ma in\u0161pirovalo k presk\u00famaniu tejto t\u00e9my.<\/p>\n<p>Z\u00e1ujemcovia si m\u00f4\u017eu spusti\u0165 program v konzole a z\u00edska\u0165 hotov\u00fd uhol v stup\u0148och zo u\u017e zap\u00edsan\u00e9ho s\u00faboru:<\/p>\n<p><img decoding=\"async\" alt=\"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio\" src=\"\/wp-content\/uploads\/2020\/10\/a8314406755294ba96c28fd7cbdd94da.jpg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nFan\u00fa\u0161ikovia letectva si m\u00f4\u017eu dokonca vyrobi\u0165 prenosn\u00fd prij\u00edma\u010d z RTL-SDR a Raspberry Pi. Mimochodom, na \u201eozajstnom\u201c lietadle tento indik\u00e1tor vyzer\u00e1 pribli\u017ene takto:<\/p>\n<p><img decoding=\"async\" alt=\"Ur\u010dujeme smer na letisko pomocou RTL-SDR a GNU Radio\" src=\"\/wp-content\/uploads\/2020\/10\/04163d9dfd1ae681128745fc7e4158b7.jpg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nObr\u00e1zok &copy; <noindex><a rel=\"nofollow\" href=\"https:\/\/www.aopa.org\">www.aopa.org<\/a><\/noindex><\/p>\n<h2>Z\u00e1ver<\/h2>\n<p>\nPodobn\u00e9 sign\u00e1ly \u201ez minul\u00e9ho storo\u010dia\u201c s\u00fa ur\u010dite zauj\u00edmav\u00e9 na anal\u00fdzu. Po prv\u00e9, s\u00fa dostato\u010dne jednoduch\u00e9, modern\u00fd DRM alebo e\u0161te viac GSM u\u017e takto \u201ena prstoch\u201c dek\u00f3dova\u0165 nedok\u00e1\u017eeme. S\u00fa otvoren\u00e9 na pr\u00edjem, neobsahuj\u00fa k\u013e\u00fa\u010de ani kryptografiu. Po druh\u00e9, je mo\u017en\u00e9, \u017ee v bud\u00facnosti od\u00eddu do hist\u00f3rie a bud\u00fa nahraden\u00e9 satelitnou navig\u00e1ciou a modern\u00fdmi digit\u00e1lnymi syst\u00e9mami. Po tretie, \u0161t\u00fadium tak\u00fdchto \u0161tandardov umo\u017e\u0148uje z\u00edska\u0165 zauj\u00edmav\u00e9 technick\u00e9 a historick\u00e9 podrobnosti o tom, ako sa \u00falohy rie\u0161ili na inej sch\u00e9matike a komponentnej z\u00e1kladni minul\u00e9ho storo\u010dia. Preto majite\u013eom prij\u00edma\u010dov mo\u017eno odporu\u010di\u0165 prija\u0165 tak\u00e9 sign\u00e1ly, pokia\u013e e\u0161te funguj\u00fa.<\/p>\n<p>Ako zvy\u010dajne, prajem v\u0161etk\u00fdm \u00faspe\u0161n\u00e9 experimenty.<br \/>\n<br \/>Zdroj: <a content=\"nofollow\" rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/522828\/\">habr.com<\/a> <\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>\u041f\u0440\u0438\u0432\u0435\u0442, \u0425\u0430\u0431\u0440! \u0412 \u043d\u0430\u0441\u0442\u043e\u044f\u0449\u0435\u0435 \u0432\u0440\u0435\u043c\u044f \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043d\u0435 \u0442\u0430\u043a \u0443\u0436 \u043c\u043d\u043e\u0433\u043e \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043e\u0432 \u0441\u0432\u044f\u0437\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0441 \u043e\u0434\u043d\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043b\u044e\u0431\u043e\u043f\u044b\u0442\u043d\u044b \u0438 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u044b, \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0438\u0445 \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u0435 \u043d\u0435 \u0437\u0430\u043d\u0438\u043c\u0430\u0435\u0442 500 \u0441\u0442\u0440\u0430\u043d\u0438\u0446 \u0432 \u0444\u043e\u0440\u043c\u0430\u0442\u0435 PDF. \u041e\u0434\u043d\u0438\u043c \u0438\u0437 \u0442\u0430\u043a\u0438\u0445, \u043d\u0435\u0441\u043b\u043e\u0436\u043d\u044b\u0445 \u0434\u043b\u044f \u0434\u0435\u043a\u043e\u0434\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0438\u0433\u043d\u0430\u043b VHF Omni-directional Radio Beacon (VOR), \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u044b\u0439 \u0432 \u0430\u044d\u0440\u043e\u043d\u0430\u0432\u0438\u0433\u0430\u0446\u0438\u0438. 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