GATE Exam > GATE Questions > Consider an angle modulated signal X(t) = 10...
Start Learning for Free
Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]
The maximum frequency deviation is ________kHz?
Correct answer is '5'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103...
Given x(t) = 10. Cos [108 πt + 5. Sin 2π103 t]
View all questions of this test
θ(t) = 108 πt + 5. Sin 2π103t
= ωct + ϕ (t)
∴ ϕ(t) = 5. sin 2π103t
∴ ϕ’ (t) = 104.π.cos 2π 103 t
Maximum frequency deviation is
Δω = | ϕ’(t)|max
= 2π (5000) rad/s
∴ ∆fmax = 5 kHz.
Most Upvoted Answer
Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103...
Maximum frequency deviation calculation:
- Formula for frequency deviation in angle modulation is given as: Δf = (β × fm)/2π
- Here, β = modulation index and fm = maximum frequency deviation
- Given signal is X(t) = 10.cos [108 πt Sin 2π 103t]
- Modulation index can be calculated as: β = (maximum amplitude of modulation signal) / (maximum amplitude of carrier signal)
- Maximum amplitude of modulation signal is 1 and maximum amplitude of carrier signal is 10
- Therefore, β = 1/10 = 0.1
- Substituting the values in the formula, we get: Δf = (0.1 × 103)/2π
- Calculating the value, we get: Δf = 5.09 kHz
- Rounding off to the nearest integer, we get the maximum frequency deviation as 5 kHz
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer?
Question Description
Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer?.
Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer?.
Solutions for Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer?, a detailed solution for Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer? has been provided alongside types of Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider an angle modulated signal X(t) = 10.cos [108 πt + Sin 2π 103t]The maximum frequency deviation is ________kHz?Correct answer is '5'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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