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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?
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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]
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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
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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?
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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?.
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