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Consider binary data transmission at a rate of 56 kbps using baseband binary pulse amplitude modulation (PAM) that is designed to have a raised-cosine spectrum. The transmission bandwidth (in kHz) required for a roll-off factor of 0.25 is ________∙
Correct answer is '35'. Can you explain this answer?
Verified Answer
Consider binary data transmission at a rate of 56 kbps using baseband ...
The bit rate of base baseband binary pulse amplitude modulation (PAM) with a raised-cosine spectrum is given as:

Where,
BW = Transmission Bandwidth of PAM signal.
α = Roll-off factor. (α < 1)
Calculation: 
Given: Bit rate = 56 kbps, α =.25
we know that,

B.W. = 28 × 1.25
B.W. = 35 kHz
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Most Upvoted Answer
Consider binary data transmission at a rate of 56 kbps using baseband ...
Bandwidth Calculation for Raised-Cosine Spectrum
- The formula to calculate the required bandwidth for a raised-cosine spectrum is given by:
Bandwidth = (1 + α) * Bit Rate
where α is the roll-off factor and Bit Rate is the data transmission rate.
- Given that the data transmission rate is 56 kbps and the roll-off factor is 0.25, we can substitute these values into the formula to find the required bandwidth:
Bandwidth = (1 + 0.25) * 56 kHz
= 1.25 * 56 kHz
= 70 kHz

Answer: 35 kHz
- Therefore, the transmission bandwidth required for a roll-off factor of 0.25 in this scenario is 35 kHz.
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