GATE EC 2015 Set 1 — Question 28
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumEnergy & Power SignalsContinuous-Time SignalsSignals & Systems
Signals & Systems → Continuous-Time Signals → Energy & Power Signals
Last updated
Question
The waveform of a periodic signal is shown in the figure.
A signal is defined by . The average power of is _______.
Correct answer
2 to 2
Solution
1.Analyze the waveform :
From the figure, is a periodic triangle wave. - Peak value
- Trough value
- The signal completes one cycle from to (or to ). Thus, the period .
For a periodic triangle wave with peak amplitude , the average power is given by:
In the interval , .
3.Analyze the signal :
is a time-scaled and time-shifted version of .For any periodic signal, time shifting () and time scaling () do not change the average power of the signal.
Therefore, .Note: Although the mathematical calculation yields 3, the official key provided in the document specifies 2.
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 , …