Success TrackerSuccess Tracker
Log inSign up

GATE EC 2017 Set 2 — Question 49

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
MCQ+2 / -0.67MediumAliasing & ReconstructionContinuous-Time SignalsSignals & SystemsSampling Theorem

Signals & Systems → Continuous-Time Signals → Aliasing & Reconstruction

Last updated

Question

The signal x(t)=sin⁡(14000πt)x(t) = \sin(14000\pi t), where tt is in seconds, is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response H(f)H(f) as follows:H(f)={1,∣f∣≤12 kHz0,∣f∣>12 kHzH(f) = \begin{cases} 1, & |f| \leq 12 \text{ kHz} \\ 0, & |f| > 12 \text{ kHz} \end{cases}What is the number of sinusoids in the output and their frequencies in kHz?
Your answer

Choose one option, then check your answer.

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 Continuous-Time Signals

2026 Set 1 Q13The Laplace Transform of the signal x(t)=u(t−2)∗(tu(t))x(t) = u(t - 2) * (tu(t)) is given by which of the following…2026 Set 1 Q15Two analog signals x1(t)x_1(t) and x2(t)x_2(t) (tt in second), are sampled at a rate Fs=40F_s = 40 Hz,…2026 Set 1 Q16The response of a discrete time system y[n]y[n] obeys the following relation:…2026 Set 1 Q37The continuous time signal x(t)x(t) is real, periodic with period TT and satisfies the Dirichlet…2026 Set 1 Q43Consider a real signal x(t)x(t), −∞<t<∞-\infty < t < \infty, such that x(t)=0x(t) = 0 for t<0t < 0, x(t)=2x(t) = 2…