Üstel pencere ailesi tabanlı yeni M-kanallı kosinüs modüleli tekdüze süzgeç öbeklerinin tasarımı, analizi ve EKG altbant işleme uygulaması

Yıl 2020, Cilt: 35 Sayı: 1, 193 - 212, 25.10.2019

Kemal Avci Eda Gümüşsoy

https://doi.org/10.17341/gazimmfd.451652

Öz

Bu çalışmada, M-kanallı kosinüs modüleli süzgeç
öbeklerinin tasarımı için yeni bir yöntem sunulmaktadır. Önerilen bu yöntemde,
süzgeç öbeklerinin prototip FIR (Sonlu Dürtü Yanıtlı) süzgeç tasarımı için iki
bağımsız parametreli üstel pencere ailesi kullanılmıştır. Süzgeç öbeklerinin
tasarımında oluşan genlik ve örtüşme hatalarını minimize etmek için, kesim
frekansını optimize eden hızlı ve basit bir amaç fonksiyonu kullanılmıştır.
Önerilen sistemin performansı farklı kanal sayıları, minimum durdurma bandı
zayıflatmaları ve süzgeç uzunlukları için tasarımlar yaparak genlik ve örtüşme
hataları cinsinden analiz edilmiştir. Sonra, pratik tasarım örneği olarak, önerilen
yöntem kullanarak ses kodlayıcılarında kullanılan süzgeç öbeğine yakın 32
kanallı ve 100 dB durdurma bandı zayıflatmasına sahip bir kosinüs modüleli
süzgeç öbeği tasarlanmış ve Kaiser penceresi tabanlı Lin yöntemiyle
kıyaslanmıştır. Bununla birlikte, genlik ve örtüşme hataları cinsinden farklı
kanal sayıları, minimum durdurma bandı zayıflatmaları ve süzgeç uzunluklarında
önerilen yöntem ve Lin yöntemiyle tasarlanan süzgeç öbekleri kıyaslanmıştır. Son
olarak önerilen yöntem ve Lin yöntemiyle tasarlanan süzgeç öbeklerinin farklı
EKG sinyallerinin altbant işleme uygulamasındaki performansları incelenmiştir. Benzetim
sonuçları, üstel pencere tabanlı önerilen yöntemle oluşturulan süzgeç öbeklerinin
genlik ve örtüşme hataları cinsinden Kaiser penceresi tabanlı Lin yöntemiyle
tasarlanan süzgeç öbeklerine göre daha iyi performans sergileyebileceğini göstermiştir. 

Anahtar Kelimeler

Çoklu oranlı sinyal işleme, kosinüs modüleli süzgeç öbeği, Lin yöntemi, Üstel pencere, Kaiser penceresi

Kaynakça

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