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A computer puts out binary data at the rate of 56 kbps. The computer output is transmitted using a
baseband binary PAM system that is designed to have a raised cosine spectrum. Determine band width
required if the roll-off factor is 0.5.
  • a)
    112 KHz
  • b)
    28KHz
  • c)
    56 KHz
  • d)
    42 KHz
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A computer puts out binary data at the rate of 56 kbps. The computer o...
Bit Rate (Rb) = 56 Kbps
Since it is transmitted by 2-array,
so minimum bandwidth without
raised-cosine pattern
and minimum bandwidth with
raised-cosine pattern
View all questions of this test
Most Upvoted Answer
A computer puts out binary data at the rate of 56 kbps. The computer o...
To determine the bandwidth required for a baseband binary PAM system with a raised cosine spectrum, we need to consider the data rate and the roll-off factor.

Given:
Data rate = 56 kbps
Roll-off factor = 0.5

1. Understanding the concept of roll-off factor:
The roll-off factor is a parameter that determines the spectral shaping of the baseband signal. A raised cosine spectrum is commonly used in communication systems to reduce intersymbol interference (ISI) and improve the system's performance.

2. Formula for calculating the bandwidth:
The bandwidth required for a baseband binary PAM system with a raised cosine spectrum can be calculated using the formula:

Bandwidth = (1 + roll-off factor) * data rate

3. Substituting the given values into the formula:
Bandwidth = (1 + 0.5) * 56 kbps
Bandwidth = 1.5 * 56 kbps
Bandwidth = 84 kbps

4. Converting the bandwidth from kbps to kHz:
Since bandwidth is typically measured in kilohertz (kHz) rather than kilobits per second (kbps), we need to convert the bandwidth from kbps to kHz.

1 kbps = 1 kHz

Therefore, the bandwidth required is 84 kHz.

5. Comparing the calculated bandwidth with the given options:
a) 112 kHz: This option is higher than the calculated bandwidth.
b) 28 kHz: This option is lower than the calculated bandwidth.
c) 56 kHz: This option is lower than the calculated bandwidth.
d) 42 kHz: This option matches the calculated bandwidth.

Thus, the correct answer is option d) 42 kHz.
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A computer puts out binary data at the rate of 56 kbps. The computer output is transmitted using abaseband binary PAM system that is designed to have a raised cosine spectrum. Determine band widthrequired if the roll-off factor is 0.5.a)112KHzb)28KHzc)56KHzd)42KHzCorrect answer is option 'D'. Can you explain this answer?
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