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 responseH(f)={1f20,f200,f>20|H(f)| = \begin{cases} 1 - \frac{|f|}{20}, & |f| \leq 20 \\ 0, & |f| > 20 \end{cases}and phase responsearg{H(f)}=2f.\arg \{H(f)\} = -2f.If the input to the system isx(t)=8cos(20πt+π4)+16sin(40πt+π8)+24cos(80πt+π16),x(t) = 8 \cos \left( 20\pi t + \frac{\pi}{4} \right) + 16 \sin \left( 40\pi t + \frac{\pi}{8} \right) + 24 \cos \left( 80\pi t + \frac{\pi}{16} \right),then the average power of the output signal y(t)y(t) is ___________
Your answer

Enter a number. Decimals, negative values and scientific notation are accepted.

The solution stays hidden until you check.

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