Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > An ideal band-pass channel 500 Hz - 2000 Hz i...
Start Learning for Free
An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________
Correct answer is '0.25'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communicat...
To determine the roll-off factor of a pulse with a raised cosine spectrum, we need to consider the bandwidth of the channel, the bit rate, and the modulation scheme used. Let's break down the information provided in the question and explain how to arrive at the correct answer.
Given Information:
- Band-pass channel: 500 Hz - 2000 Hz
- Modem bit rate: 4800 bits/s
- Modulation scheme: 16-QAM
1. Determine the Bandwidth:
The bandwidth of the band-pass channel is given as 500 Hz to 2000 Hz. The total bandwidth can be calculated by subtracting the lower frequency from the upper frequency:
Bandwidth = 2000 Hz - 500 Hz = 1500 Hz
2. Determine the Symbol Rate:
In 16-QAM, each symbol represents 4 bits (2^4 = 16). Therefore, the symbol rate can be calculated by dividing the bit rate by the number of bits per symbol:
Symbol rate = 4800 bits/s / 4 bits/symbol = 1200 symbols/s
3. Determine the Roll-off Factor:
The roll-off factor, denoted by α, is a measure of the excess bandwidth of a pulse with a raised cosine spectrum. It determines how much the spectrum extends beyond the ideal bandwidth. The relationship between the roll-off factor and the excess bandwidth is given by the formula:
Excess bandwidth = (1 + α) * Symbol rate
In this case, we know the excess bandwidth is equal to the total bandwidth, as the pulse with a raised cosine spectrum utilizes the entire frequency band. Therefore, we can set up the equation as follows:
1500 Hz = (1 + α) * 1200 symbols/s
4. Solve for the Roll-off Factor:
Divide both sides of the equation by 1200:
1500 Hz / 1200 symbols/s = 1 + α
Simplify the equation:
1.25 = 1 + α
Subtract 1 from both sides of the equation:
1.25 - 1 = α
Simplify the equation to find the roll-off factor:
α = 0.25
Hence, the roll-off factor of the pulse with a raised cosine spectrum is 0.25.
Given Information:
- Band-pass channel: 500 Hz - 2000 Hz
- Modem bit rate: 4800 bits/s
- Modulation scheme: 16-QAM
1. Determine the Bandwidth:
The bandwidth of the band-pass channel is given as 500 Hz to 2000 Hz. The total bandwidth can be calculated by subtracting the lower frequency from the upper frequency:
Bandwidth = 2000 Hz - 500 Hz = 1500 Hz
2. Determine the Symbol Rate:
In 16-QAM, each symbol represents 4 bits (2^4 = 16). Therefore, the symbol rate can be calculated by dividing the bit rate by the number of bits per symbol:
Symbol rate = 4800 bits/s / 4 bits/symbol = 1200 symbols/s
3. Determine the Roll-off Factor:
The roll-off factor, denoted by α, is a measure of the excess bandwidth of a pulse with a raised cosine spectrum. It determines how much the spectrum extends beyond the ideal bandwidth. The relationship between the roll-off factor and the excess bandwidth is given by the formula:
Excess bandwidth = (1 + α) * Symbol rate
In this case, we know the excess bandwidth is equal to the total bandwidth, as the pulse with a raised cosine spectrum utilizes the entire frequency band. Therefore, we can set up the equation as follows:
1500 Hz = (1 + α) * 1200 symbols/s
4. Solve for the Roll-off Factor:
Divide both sides of the equation by 1200:
1500 Hz / 1200 symbols/s = 1 + α
Simplify the equation:
1.25 = 1 + α
Subtract 1 from both sides of the equation:
1.25 - 1 = α
Simplify the equation to find the roll-off factor:
α = 0.25
Hence, the roll-off factor of the pulse with a raised cosine spectrum is 0.25.
Free Test
FREE
| Start Free Test |
Community Answer
An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communicat...
Concept: By using raised cosine pulse bandwidth required for M-ary modulation is 
where α is called roll-off factor.
Application: Bandwidth = 2000 - 500 = 1500 Hz
Bandwidth required for 16 QAM
Rb(1+α ) = 1500 x 4 = 6000
(1+α) = 6000/4800
α = 0.25
where α is called roll-off factor.Application: Bandwidth = 2000 - 500 = 1500 Hz
Bandwidth required for 16 QAM
Rb(1+α ) = 1500 x 4 = 6000
(1+α) = 6000/4800
α = 0.25
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Top Courses for Electronics and Communication Engineering (ECE)View all
An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. Can you explain this answer?
Question Description
An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. 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 An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. 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 An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. Can you explain this answer?.
An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. 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 An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. 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 An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. Can you explain this answer?.
Solutions for An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. Can you explain this answer?, a detailed solution for An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. Can you explain this answer? has been provided alongside types of An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An ideal band-pass channel 500 Hz - 2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate of 4800 bits/s using 16-QAM. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is ________Correct answer is '0.25'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
x
![]()
For Your Perfect Score in Electronics and Communication Engineering (ECE)
The Best you need at One Place
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup