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Consider a baseband binary PAM receiver shown below. The additive channel noise n(t) is white with power spectral density SN(f) = N0/2 = 10-20 W/Hz. The low-pass filter is ideal with unity gain and cutoff frequency 1 MHz. Let Yt, represent the random variable y(t1)
Yt = Ns if transmitted bit bk = 0
YK = a + Nk if transmitted bit bk = 1
where Nk represents the noise sample value. The noise sample has a probability density function, PN (n) = 0.5αe (This has mean zero and variance 2/α2), Assume transmitted bits lo be equiprobable and threshold z is set to a/2 = 10-6 V

Q. The value of the parameter α (in V-1) is
  • a)
    1010
  • b)
    107
  • c)
    1.414 × 10-10
  • d)
    2 × 1020
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Consider a baseband binary PAM receiver shown below. The additive chan...
Concept:
The statistical averages Mean and Variance are called as 'first order moment' and 'second-order moment' respectively.
Variance represents the total power of the random signal.


Total power can be determined as the area of the curve.
When the input is passed through a system the output is shown by:

SN(f): Input noise PSD
SN0(f): Output noise PSD
H(f): system response
Calculation:
The system is defined as shown:
The given mean is 0 and variance is 2/α2 
V[X] = E[X2] - (E[X])2 
2/α2 = E[X2]
The area under the curve is:
E[X2] = 10-20 × 2 × 106 
2/α2 = 10-14 × 2
α2 = 1014 
α = 107 
Free Test
Community Answer
Consider a baseband binary PAM receiver shown below. The additive chan...
Concept:
The statistical averages Mean and Variance are called as 'first order moment' and 'second-order moment' respectively.
Variance represents the total power of the random signal.


Total power can be determined as the area of the curve.
When the input is passed through a system the output is shown by:

SN(f): Input noise PSD
SN0(f): Output noise PSD
H(f): system response
Calculation:
The system is defined as shown:
The given mean is 0 and variance is 2/α2 
V[X] = E[X2] - (E[X])2 
2/α2 = E[X2]
The area under the curve is:
E[X2] = 10-20 × 2 × 106 
2/α2 = 10-14 × 2
α2 = 1014 
α = 107 
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Consider a baseband binary PAM receiver shown below. The additive channel noise n(t) is white with power spectral density SN(f) = N0/2 = 10-20 W/Hz. The low-pass filter is ideal with unity gain and cutoff frequency 1 MHz. Let Yt, represent the random variable y(t1)Yt = Ns if transmitted bit bk = 0YK = a + Nk if transmitted bit bk = 1where Nk represents the noise sample value. The noise sample has a probability density function, PN (n) = 0.5αe (This has mean zero and variance 2/α2), Assume transmitted bits lo be equiprobable and threshold z is set to a/2 = 10-6 VQ. The value of the parameter α (in V-1) isa)1010b)107c)1.414 × 10-10d)2 × 1020Correct answer is option 'B'. Can you explain this answer?
Question Description
Consider a baseband binary PAM receiver shown below. The additive channel noise n(t) is white with power spectral density SN(f) = N0/2 = 10-20 W/Hz. The low-pass filter is ideal with unity gain and cutoff frequency 1 MHz. Let Yt, represent the random variable y(t1)Yt = Ns if transmitted bit bk = 0YK = a + Nk if transmitted bit bk = 1where Nk represents the noise sample value. The noise sample has a probability density function, PN (n) = 0.5αe (This has mean zero and variance 2/α2), Assume transmitted bits lo be equiprobable and threshold z is set to a/2 = 10-6 VQ. The value of the parameter α (in V-1) isa)1010b)107c)1.414 × 10-10d)2 × 1020Correct answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Consider a baseband binary PAM receiver shown below. The additive channel noise n(t) is white with power spectral density SN(f) = N0/2 = 10-20 W/Hz. The low-pass filter is ideal with unity gain and cutoff frequency 1 MHz. Let Yt, represent the random variable y(t1)Yt = Ns if transmitted bit bk = 0YK = a + Nk if transmitted bit bk = 1where Nk represents the noise sample value. The noise sample has a probability density function, PN (n) = 0.5αe (This has mean zero and variance 2/α2), Assume transmitted bits lo be equiprobable and threshold z is set to a/2 = 10-6 VQ. The value of the parameter α (in V-1) isa)1010b)107c)1.414 × 10-10d)2 × 1020Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a baseband binary PAM receiver shown below. The additive channel noise n(t) is white with power spectral density SN(f) = N0/2 = 10-20 W/Hz. The low-pass filter is ideal with unity gain and cutoff frequency 1 MHz. Let Yt, represent the random variable y(t1)Yt = Ns if transmitted bit bk = 0YK = a + Nk if transmitted bit bk = 1where Nk represents the noise sample value. The noise sample has a probability density function, PN (n) = 0.5αe (This has mean zero and variance 2/α2), Assume transmitted bits lo be equiprobable and threshold z is set to a/2 = 10-6 VQ. The value of the parameter α (in V-1) isa)1010b)107c)1.414 × 10-10d)2 × 1020Correct answer is option 'B'. Can you explain this answer?.
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