GATE EC 2017 Set 2 — Question 33
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumMagnitude & Phase ResponseLTI SystemsSignals & SystemsEnergy & Power SignalsContinuous-Time Signals
Signals & Systems → Continuous-Time Signals → Energy & Power Signals
Last updated
Question
Consider an LTI system with magnitude responseand phase responseIf the input to the system isthen the average power of the output signal is ___________
Correct answer
7.95 to 8.05
Solution
1.Input Frequencies: The input signal is . The frequencies present are , , and .
2.System Response:
- At : .
- At : .
- At : (since ).
4.Average Power: The average power of a sinusoid is . Thus, .
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 Continuous-Time Signals
2026 Set 1 Q13The Laplace Transform of the signal is given by which of the following…2026 Set 1 Q15Two analog signals and ( in second), are sampled at a rate Hz,…2026 Set 1 Q16The response of a discrete time system obeys the following relation:…2026 Set 1 Q37The continuous time signal is real, periodic with period and satisfies the Dirichlet…2026 Set 1 Q43Consider a real signal , , such that for , …