Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > According to Carson’s rule, the bandwid...
Start Learning for Free
According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)
- a)(Δω + ωm)
- b)(Δω + 2ωm)
- c)2(Δω + ωm)
- d)(2Δω + ωm)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
According to Carson’s rule, the bandwidth of FM wave is given by...
According to Carson’s rule, the bandwidth of a single-tone wideband FM is
BW = 2(Δω + ωm)
BW = 2(Δω + ωm)
Most Upvoted Answer
According to Carson’s rule, the bandwidth of FM wave is given by...
According to Carson’s rule, the bandwidth of a single-tone wideband FM is
BW = 2(Δω + ωm)
BW = 2(Δω + ωm)
Free Test
FREE
| Start Free Test |
Community Answer
According to Carson’s rule, the bandwidth of FM wave is given by...
Understanding Carson's Rule
Carson's Rule provides a method to determine the bandwidth of a Frequency Modulated (FM) signal. It is critical in communication systems to ensure that the signal occupies the correct frequency range.
Key Components of Carson's Rule
- Frequency Deviation (Δω): This is the maximum shift from the carrier frequency due to the modulation.
- Modulating Frequency (ωm): This is the frequency of the input signal that modulates the carrier.
Formula According to Carson's Rule
The general formula for the bandwidth (BW) of an FM wave is given by:
BW = 2(Δω + ωm)
This formula indicates that the bandwidth is determined by both the frequency deviation and the highest frequency of the modulating signal.
Explanation of the Correct Answer (Option C)
- 2(Δω + ωm): This represents the total bandwidth required for the FM signal to ensure that all significant sidebands are included.
- The factor of 2 accounts for the symmetrical nature of the FM spectrum, where frequency deviations occur both above and below the carrier frequency.
- By adding Δω and ωm, we ensure that the bandwidth encompasses the full range of frequency deviation caused by the modulating signal.
Importance of Bandwidth in Communication
- Adequate bandwidth is essential for minimizing interference and ensuring clear signal transmission.
- Understanding Carson's Rule helps engineers design systems that operate efficiently within allocated frequency ranges.
In summary, option C (2(Δω + ωm)) correctly encapsulates the bandwidth of an FM signal as per Carson's Rule, ensuring effective communication without distortion.
Carson's Rule provides a method to determine the bandwidth of a Frequency Modulated (FM) signal. It is critical in communication systems to ensure that the signal occupies the correct frequency range.
Key Components of Carson's Rule
- Frequency Deviation (Δω): This is the maximum shift from the carrier frequency due to the modulation.
- Modulating Frequency (ωm): This is the frequency of the input signal that modulates the carrier.
Formula According to Carson's Rule
The general formula for the bandwidth (BW) of an FM wave is given by:
BW = 2(Δω + ωm)
This formula indicates that the bandwidth is determined by both the frequency deviation and the highest frequency of the modulating signal.
Explanation of the Correct Answer (Option C)
- 2(Δω + ωm): This represents the total bandwidth required for the FM signal to ensure that all significant sidebands are included.
- The factor of 2 accounts for the symmetrical nature of the FM spectrum, where frequency deviations occur both above and below the carrier frequency.
- By adding Δω and ωm, we ensure that the bandwidth encompasses the full range of frequency deviation caused by the modulating signal.
Importance of Bandwidth in Communication
- Adequate bandwidth is essential for minimizing interference and ensuring clear signal transmission.
- Understanding Carson's Rule helps engineers design systems that operate efficiently within allocated frequency ranges.
In summary, option C (2(Δω + ωm)) correctly encapsulates the bandwidth of an FM signal as per Carson's Rule, ensuring effective communication without distortion.
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Similar Electronics and Communication Engineering (ECE) Doubts
Top Courses for Electronics and Communication Engineering (ECE)View all
Top Courses for Electronics and Communication Engineering (ECE)
Question Description
According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 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 According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer?.
According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 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 According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer?.
Solutions for According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. 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 According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer?, a detailed solution for According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice According to Carson’s rule, the bandwidth of FM wave is given by (Aω is the frequency deviation and ωm the modulating frequency)a)(Δω +ωm)b)(Δω + 2ωm)c)2(Δω +ωm)d)(2Δω +ωm)Correct answer is option 'C'. 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
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily