Digital Communications · Digital lecture note
Lecture 9 – Error probability in binary signaling and the MAP criterion
Sayısal Haberleşme – İkili işaretleşmede hata olasılığı ve MAP kriteri
- Course
- Digital Communications (ELM365)
- Semester
- Semester 6 · Spring 2023–24
- Format
- PDF · 11 pages · 0.2 MB · handwriting-style LaTeX
- Language
- Turkish
- Original note
- Ders-9.pdf
Open the PDF (0.2 MB)LaTeX source (.tex)Original handwritten note

What is in this note?
Section headings of the note (in Turkish):
- İkili işaretleşmenin Hata olasılığı Performansı
- Tek kutuplu işaretleşme (Unipolar signaling)
- Çift kutuplu işaretleşme (Bipolar signaling)
- Likelihood Ratio Test and Maximum a Posteriorikirmizikalem probability (MAP) Criterion
Text of the note
Show as plain text (Turkish; formulas and drawings are not included)
→ E_b : ortalama bit enerjisi / average energy per bit
Consider a binary communication system that receives equally likely signals s_1(t) and s_2(t) plus AWGN. Assume that the receiving filter is a MF, and the noise PSD N_0 is 10^-12 Watt/Hz. Use the values of the received signal voltage and time shown in the figure below to compute bit error probability.
İkili işaretleşmenin Hata olasılığı Performansı
Tek kutuplu işaretleşme (Unipolar signaling)
Çift kutuplu işaretleşme (Bipolar signaling)
Çift kutuplu daha iyi performans sağlar.
Var yok haberleşmesi, ışık fiber haberleşmede kullanılır (tek kutuplu)
Örnek Sklar, Prob 3.14
NRZ-L, attenuation 3 dB
min amount of power needed at Tx for P_b=10^-3
Likelihood Ratio Test and Maximum a Posteriori probability (MAP) Criterion
Muhtemellik oranı testi ve maksimum sonsal olasılık kriteri
Maximum likelihood criterion
(En muhtemeli bulma kriteri)