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Eğitmen önce temel kavramları açıklamakta, ardından x ve h sinyallerinin DFT değerlerini hesaplamakta, Euler formülü kullanarak karmaşık sayıların nasıl hesaplanacağını göstermekte ve son olarak DPT (Digital Phase Transfer) sinyallerinin nasıl elde edileceğini anlatmaktadır.","Video, temel bilgileri olmayan izleyiciler için en basit şekilde hazırlanmış olup, sınavlarda zaman kazanmak için pratik ipuçları da içermektedir. Eğitmen, hesap makinesi üzerinden \"pol\" komutu kullanarak kompleks sayıların açı ve reel değerlerini hesaplama, derece ve radyan birimleri arasındaki dönüşümler gibi konuları da ele almaktadır."]},"endTime":2903,"title":"DFT (Ayrık Fourier Dönüşümü) Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"DFT (Ayrık Fourier Dönüşümü) Tanıtımı","list":{"type":"unordered","items":["DPT (Discrete Fourier Transform), ayrık Fourier dönüşümü anlamına gelir ve Türkçe'de \"D'ye dönüşü\" olarak da ifade edilebilir.","Önceki derste iki sinyalin circle convolution'u yapılmıştı, bu derste ise bu sinyallerin DFT'si alınacaktır.","H sinyali değerleri -2, -1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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-4,33j.","J ile çarpma işlemi yapılırken, eksi ile eksi çarpımı artı olarak sonuçlanıyor.","J'ler toplandığında elma ile armutlar gibi düşünülerek, sonuç +0,1j olarak bulunuyor."]},"beginTime":891,"endTime":979,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=891&ask_summarization=1"},{"index":2,"title":"X2 Değerinin Hesaplanması","list":{"type":"unordered","items":["X2 değeri hesaplanırken, n=3 olduğu için her zaman 1 çıkıyor ve 3×1=3 olarak kalıyor.","E üzeri eksi j ifadesi kullanılarak, k yerine 2 konularak 4π/6 değeri elde ediliyor.","Farklı sinyaller için e üzeri eksi j ifadesi kullanılarak, k yerine 2 konularak 4π/6, 8π/6 ve 16π/6 değerleri hesaplanıyor."]},"beginTime":979,"endTime":1119,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=979&ask_summarization=1"},{"index":3,"title":"Sinüs ve Kosinüs Kullanımı","list":{"type":"unordered","items":["Kesirli sayılar için sinüs, tam sayılar için kosinüs kullanılıyor.","Sinüs hesaplamasında sin(180×4/6)×3,46 j = -3,46 j olarak bulunuyor.","Kosinüs hesaplamasında cos(180×6/6) = -1, cos(180×12/6) = 1, cos(180×18/6) = -1 ve cos(180×24/6) = 1 olarak hesaplanıyor."]},"beginTime":1119,"endTime":1381,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=1119&ask_summarization=1"},{"index":4,"title":"Kısa Yol Hesaplama Yöntemi","list":{"type":"unordered","items":["X3 değeri hesaplanırken, k yerine 3 konularak 6π/6, 12π/6 ve 18π/6 değerleri elde ediliyor.","Tam sayılar için kosinüs kullanılıyor: cos(180×6/6) = -1, cos(180×12/6) = 1, cos(180×18/6) = -1 ve cos(180×24/6) = 1.","Bu yöntemle zaman kaybı olmadan hızlı hesaplama yapılabiliyor."]},"beginTime":1381,"endTime":1682,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=1381&ask_summarization=1"},{"index":5,"title":"DFT Hesaplama ve Kompleks Sayılar","list":{"type":"unordered","items":["DFT hesaplamasında 24/6 değeri 1 olarak hesaplanıyor ve sonuç sadece 4 olarak bulunuyor.","DFT hesaplamasında 4'e 4'e giderek değerler hesaplanıyor: 2'şer 2'şer, 4'er 4'er, 6'şar 6'şar ve 8'er 8'er.","Hesaplanan değerler sinüs ve kosinüs fonksiyonlarıyla çarpılarak magnet değerleri elde ediliyor."]},"beginTime":1685,"endTime":1844,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=1685&ask_summarization=1"},{"index":6,"title":"Pol Formatı ve DFT Sonuçları","list":{"type":"unordered","items":["Pol formatı (faz) dönüşümü için shift tuşuna basılarak virgül yerine j değeri kullanılıyor.","Pol formatında faz değeri 7, açı değeri 81,78 derece olarak bulunuyor.","DFT hesaplamasında x5 için 3+3,46 j, 0,86 j, 2-4,33 j değerleri elde ediliyor."]},"beginTime":1844,"endTime":2012,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=1844&ask_summarization=1"},{"index":7,"title":"DFT Sinyalleri ve Ödev","list":{"type":"unordered","items":["DFT sinyalleri (xen) hesaplanarak x12345 değerleri bulunuyor.","Ödev olarak Hk'nın 6 puan DFT'si hesaplanıyor: H0, H1, H2, H3, H4 ve H5 değerleri veriliyor.","Yk, Xk ve Hk'nın magnet çarpımları olarak hesaplanıyor."]},"beginTime":2012,"endTime":2451,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=2012&ask_summarization=1"},{"index":8,"title":"Yk Hesaplama ve Hesap Makinesi Kullanımı","list":{"type":"unordered","items":["Yk hesaplaması için hesap makinesinde mode setup'a basılarak complex modu seçiliyor.","Hesap makinesinde kompleks sayılar için i değeri kullanılıyor.","Yk değerleri hesaplanarak magnet değerleri elde ediliyor ve faz değerleri de bulunabilir."]},"beginTime":2451,"endTime":2702,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=2451&ask_summarization=1"},{"index":9,"title":"Kompleks Sayılarla İşlemler","list":{"type":"unordered","items":["Normal emülatörde kompleks sayılarla işlem yaparken karışıklıklar yaşanabiliyor.","Kompleks sayılarla işlem yaparken \"pol\" komutu kullanılıyor ve virgül yerine \"c\" değeri yazılıyor.","Kompleks sayıların açısı, virgülün sağındaki değer olarak yazılır, örneğin 0,11 derece."]},"beginTime":2716,"endTime":2769,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=2716&ask_summarization=1"},{"index":10,"title":"Kompleks Sayı Örnekleri","list":{"type":"unordered","items":["11,91 + 1,72j kompleks sayısı 12,3 değerine sahip ve açısı 8,21 derece.","Kompleks sayılarda \"j\" yoksa açı sıfırdır.","11,91 - 1,72j kompleks sayısı 12 değerine sahip ve açısı -8,21 derece olur."]},"beginTime":2769,"endTime":2873,"href":"/video/preview/17216963152931121257?parent-reqid=1769280129265343-8595461928166092750-balancer-l7leveler-kubr-yp-vla-62-BAL&text=Andrew+DFT&t=2769&ask_summarization=1"},{"index":11,"title":"DPT Sinyalleri ve Kapanış","list":{"type":"unordered","items":["DPT sinyalleri gösterildi ve bu konunun zor olmadığını ancak yorucu 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