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GATE 2025 Communication Systems Foundation Quiz 35
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Question 1
Read the following statements regarding commutative distribution function (CDF) of a random variable X defined as Fx(x).
S1: 0 ≤ Fx(x) ≤ 1
S2: Fx(x) is a non decreasing function
S3: Fx(–x) = 1 – Fx(x)
Question 2
A noisy channel probability has per digit error probability of 0.01, then the probability of finding more than 1 error if 10 bits are received is___(rounded to 3 decimal)
Question 3
If x(t) is WSS, then what is
?
![](https://gradeup-question-images.grdp.co/liveData/PROJ51140/1593090754729378.png)
Where Rxx () is autocorrelation of x(t).
Question 4
Let C1 be the capacity of given Binary Erasure channel and Let C2 be the capacity of given Binary symmetric channel.
Assume p = 0.4 then find C1 : C2
Question 5
Consider a baseband random process
having an auto correlation function
. This process is passed through an ideal differentiator. If the output random process is
, its auto correlation function
is given by
![](https://gradeup-question-images.grdp.co/liveData/PROJ49828/1604059971342817.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ49828/1604059972054586.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ49828/1604059972749990.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ49828/160405997354120.png)
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Jan 25ESE & GATE EC