GATE EC 2015 Set 3 — Question 33
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumAngle Modulation (FM & PM)Analog CommunicationsCommunications
Communications → Analog Communications → Angle Modulation (FM & PM)
Last updated
Question
A message signal is used to modulate the phase of a carrier to get the modulated signal . The bandwidth of
Correct answer
(C) depends on both Aₘ and fₘ
Solution
The modulated signal is given as . This is a Phase Modulated (PM) signal.
1.Instantaneous Phase:
2.Instantaneous Frequency:
3.Frequency Deviation:
4.Carson's Rule for Bandwidth: The bandwidth () of an angle-modulated signal is approximately:
From the expression , it is clear that the bandwidth depends on both the amplitude of the message signal () and the frequency of the message signal ().Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Analog Communications
2026 Set 1 Q22Consider a discrete memoryless source with an alphabet of four source symbols. is a…2026 Set 1 Q32A wireless digital transmission scheme is using -QAM over an additive white Gaussian noise…2026 Set 1 Q44A QPSK modulated signal from an additive white Gaussian noise (AWGN) channel is received with an…2026 Set 1 Q55Let the relevant bandwidth () of a digital communication system be and…2026 Set 1 Q57Consider a real, narrowband signal where the maximum…