Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > AM radio signal is an example for __________a...
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AM radio signal is an example for __________
- a)y (t) = a x (t)
- b)y (t) = x1 (t) + x2 (t)
- c)y (t) = x1 (t) * x2 (t)
- d)y (t) = -x(t)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
AM radio signal is an example for __________a)y (t) = a x (t)b)y (t) =...
Understanding AM Radio Signals
AM (Amplitude Modulation) radio signals are a fundamental concept in communication engineering. Let's explore why the correct answer is option 'C':
What is Amplitude Modulation?
- AM involves varying the amplitude of a carrier signal in accordance with the information signal (message).
- The carrier signal is typically a high-frequency wave, while the information signal can be audio or other types of data.
Mathematical Representation
- In mathematical terms, the amplitude modulation can be expressed as:
y(t) = x1(t) * x2(t)
Where:
- y(t) is the modulated signal (AM signal).
- x1(t) is the carrier signal (usually a sine wave).
- x2(t) is the message signal (the information we wish to transmit).
Why Option 'C' is Correct
- The expression indicates that the modulated signal (y(t)) is derived from the multiplication of two signals (x1 and x2).
- Multiplication of Signals: This multiplication means that the amplitude of the carrier wave (x1) changes according to the instantaneous value of the message signal (x2).
Contrast with Other Options
- Option A (y(t) = a x(t)): This represents scaling of a single signal, not modulation.
- Option B (y(t) = x1(t) + x2(t)): This indicates addition, which is not how AM works.
- Option D (y(t) = -x(t)): This represents inversion and is irrelevant to the modulation process.
Conclusion
- Therefore, the correct representation for an AM radio signal is indeed option 'C', highlighting the essence of how the signal is modulated through multiplication of the carrier and message signals.
AM (Amplitude Modulation) radio signals are a fundamental concept in communication engineering. Let's explore why the correct answer is option 'C':
What is Amplitude Modulation?
- AM involves varying the amplitude of a carrier signal in accordance with the information signal (message).
- The carrier signal is typically a high-frequency wave, while the information signal can be audio or other types of data.
Mathematical Representation
- In mathematical terms, the amplitude modulation can be expressed as:
y(t) = x1(t) * x2(t)
Where:
- y(t) is the modulated signal (AM signal).
- x1(t) is the carrier signal (usually a sine wave).
- x2(t) is the message signal (the information we wish to transmit).
Why Option 'C' is Correct
- The expression indicates that the modulated signal (y(t)) is derived from the multiplication of two signals (x1 and x2).
- Multiplication of Signals: This multiplication means that the amplitude of the carrier wave (x1) changes according to the instantaneous value of the message signal (x2).
Contrast with Other Options
- Option A (y(t) = a x(t)): This represents scaling of a single signal, not modulation.
- Option B (y(t) = x1(t) + x2(t)): This indicates addition, which is not how AM works.
- Option D (y(t) = -x(t)): This represents inversion and is irrelevant to the modulation process.
Conclusion
- Therefore, the correct representation for an AM radio signal is indeed option 'C', highlighting the essence of how the signal is modulated through multiplication of the carrier and message signals.
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AM radio signal is an example for __________a)y (t) = a x (t)b)y (t) =...
AM radio signal is an example for y (t) = x1 (t) * x2 (t) where, x1 (t) consists of an audio signal plus a dc component and x2 (t) is a sinusoidal signal called carrier wave.
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AM radio signal is an example for __________a)y (t) = a x (t)b)y (t) = x1 (t) + x2 (t)c)y (t) = x1 (t) * x2 (t)d)y (t) = -x(t)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 AM radio signal is an example for __________a)y (t) = a x (t)b)y (t) = x1 (t) + x2 (t)c)y (t) = x1 (t) * x2 (t)d)y (t) = -x(t)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 AM radio signal is an example for __________a)y (t) = a x (t)b)y (t) = x1 (t) + x2 (t)c)y (t) = x1 (t) * x2 (t)d)y (t) = -x(t)Correct answer is option 'C'. Can you explain this answer?.
AM radio signal is an example for __________a)y (t) = a x (t)b)y (t) = x1 (t) + x2 (t)c)y (t) = x1 (t) * x2 (t)d)y (t) = -x(t)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 AM radio signal is an example for __________a)y (t) = a x (t)b)y (t) = x1 (t) + x2 (t)c)y (t) = x1 (t) * x2 (t)d)y (t) = -x(t)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 AM radio signal is an example for __________a)y (t) = a x (t)b)y (t) = x1 (t) + x2 (t)c)y (t) = x1 (t) * x2 (t)d)y (t) = -x(t)Correct answer is option 'C'. Can you explain this answer?.
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