Success TrackerSuccess Tracker
Log inSign up

GATE EC 2021 Set 1 — Question 31

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
NAT+1 / -0EasyAutocorrelation & PSDRandom ProcessesCommunications

Communications → Random Processes → Autocorrelation & PSD

Last updated

Question

The autocorrelation function RX(τ)R_X(\tau) of a wide-sense stationary random process X(t)X(t) is shown in the figure.
Triangular autocorrelation function $R_X(\tau)$ with peak value 2 at $\tau = 0$ and zero at $\tau = \pm 2$
The average power of X(t)X(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.

Start with a free accountView plans and allowances

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Random Processes

2026 Set 1 Q22Consider a discrete memoryless source with an alphabet of four source symbols. s(t)s(t) is a…2026 Set 1 Q32A wireless digital transmission scheme is using 1616-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 (BB) of a digital communication system be 1 MHz1\text{ MHz} and…2026 Set 1 Q57Consider a real, narrowband signal x(t)=A(t)cos⁡[2πfct+θ(t)]x(t) = A(t)\cos[2\pi f_c t + \theta(t)] where the maximum…