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An angle modulated signal with carrier frequency ωc = 2π × 106 rad/s given by ϕm(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt)). The maximum deviation of the frequency in the angle modulated signal from that of the carrier is ___________ kHz.
Correct answer is between '12,13'. Can you explain this answer?
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An angle modulated signal with carrier frequency ωc = 2π &tim...
Given:
The angle modulated signal is given by
ϕm(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt))
instantaneous frequency
Where ϕt is the phase of angle modulated signal.
In the above expression
fc is the carrier frequency and additional term is the deviation (2500 cos 1000πt + 10, 000 cos cos 2000 πt)
fd = 2500 cos 1000πt + 10, 000 cos cos 2000 πt
(fD)max = max (2500 cos 1000πt + 10, 000 cos cos 2000 πt)
(fD)max = (2500 + 10, 000)Hz = 12.5 kHz
The angle modulated signal is given by
ϕm(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt))
instantaneous frequency
Where ϕt is the phase of angle modulated signal.
In the above expression
fc is the carrier frequency and additional term is the deviation (2500 cos 1000πt + 10, 000 cos cos 2000 πt)
fd = 2500 cos 1000πt + 10, 000 cos cos 2000 πt
(fD)max = max (2500 cos 1000πt + 10, 000 cos cos 2000 πt)
(fD)max = (2500 + 10, 000)Hz = 12.5 kHz
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An angle modulated signal with carrier frequency ωc = 2π &tim...
An angle modulated signal with carrier frequency refers to a type of signal where the frequency of the carrier wave is varied in accordance with the information being transmitted. This modulation technique is commonly used in frequency modulation (FM) and phase modulation (PM).
In FM, the frequency of the carrier wave is changed in proportion to the amplitude of the modulating signal. This means that as the amplitude of the modulating signal increases, the frequency of the carrier wave increases, and vice versa. This results in a signal that is resistant to noise and interference, making it ideal for applications such as radio broadcasting.
In PM, the phase of the carrier wave is changed in proportion to the amplitude of the modulating signal. This means that as the amplitude of the modulating signal increases, the phase of the carrier wave changes, and vice versa. PM is commonly used in applications where the phase information of the signal is important, such as in radar and telecommunications.
Both FM and PM are examples of angle modulation, where the phase or frequency of the carrier wave is modulated to carry the information being transmitted.
In FM, the frequency of the carrier wave is changed in proportion to the amplitude of the modulating signal. This means that as the amplitude of the modulating signal increases, the frequency of the carrier wave increases, and vice versa. This results in a signal that is resistant to noise and interference, making it ideal for applications such as radio broadcasting.
In PM, the phase of the carrier wave is changed in proportion to the amplitude of the modulating signal. This means that as the amplitude of the modulating signal increases, the phase of the carrier wave changes, and vice versa. PM is commonly used in applications where the phase information of the signal is important, such as in radar and telecommunications.
Both FM and PM are examples of angle modulation, where the phase or frequency of the carrier wave is modulated to carry the information being transmitted.
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An angle modulated signal with carrier frequency ωc = 2π × 106 rad/s given by m(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt)). The maximum deviation of the frequency in the angle modulated signal from that of the carrier is ___________ kHz.Correct answer is between '12,13'. Can you explain this answer?
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An angle modulated signal with carrier frequency ωc = 2π × 106 rad/s given by m(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt)). The maximum deviation of the frequency in the angle modulated signal from that of the carrier is ___________ kHz.Correct answer is between '12,13'. 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 angle modulated signal with carrier frequency ωc = 2π × 106 rad/s given by m(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt)). The maximum deviation of the frequency in the angle modulated signal from that of the carrier is ___________ kHz.Correct answer is between '12,13'. 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 angle modulated signal with carrier frequency ωc = 2π × 106 rad/s given by m(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt)). The maximum deviation of the frequency in the angle modulated signal from that of the carrier is ___________ kHz.Correct answer is between '12,13'. Can you explain this answer?.
An angle modulated signal with carrier frequency ωc = 2π × 106 rad/s given by m(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt)). The maximum deviation of the frequency in the angle modulated signal from that of the carrier is ___________ kHz.Correct answer is between '12,13'. 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 angle modulated signal with carrier frequency ωc = 2π × 106 rad/s given by m(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt)). The maximum deviation of the frequency in the angle modulated signal from that of the carrier is ___________ kHz.Correct answer is between '12,13'. 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 angle modulated signal with carrier frequency ωc = 2π × 106 rad/s given by m(t) = cos(ωct + 5 sin (1000πt) + 10 sin (2000πt)). The maximum deviation of the frequency in the angle modulated signal from that of the carrier is ___________ kHz.Correct answer is between '12,13'. Can you explain this answer?.
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