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Digital Communications · Digital lecture note

Lecture 8 – Baseband communication, matched filter, correlator

Sayısal Haberleşme – Temel band haberleşmesi, Matched Filter, Correlator

Course
Digital Communications (ELM365)
Semester
Semester 6 · Spring 2023–24
Format
PDF · 11 pages · 0.4 MB · handwriting-style LaTeX
Language
Turkish
Original note
Ders-8.pdf

Open the PDF (0.4 MB)LaTeX source (.tex)Original handwritten note

Lecture 8 – Baseband communication, matched filter, correlator – first page of the digital lecture note
Notice: The digital notes were created from the handwritten notes with the help of Claude (Anthropic); they are meant as a supplementary resource and may contain errors. Always rely on the original notes and the official course materials.

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Temel Band haberleşmesi

s_1(t) iletilmiş olsun : Doğru karar (z>γ_0)

s_2(t) iletilmiş olsun doğru karar: (z<γ_0)

Eşit olasılıklı işaretler: P(s_1)=P(s_2)=12

bu ne kadar artarsa o kadar P_b azalır

Karşılayıcı Filtre (Matched Filter - MF)

MF provides max SNR at its output for a given transmitted waveform

Cauchy-Schwarz eşitsizliği

SNR'ın maksimum değeri

Biz max bulmak istiyoruz olması için

[Kırmızı yaylı okla z_1(T) ve z_2(T) satırları birbirine bağlanmış.]

h(t) tek s(t) 'yi karşıladığı için

karşı-ilişki katsayısı

(Normalized cross correlation coefficient)

[Ok, ``(Normalized cross correlation coefficient)'' ifadesinden · E_b ifadesine gidiyor.]

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