GATE EC 2014 Set 3 — Question 32
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumGroup & Phase DelayLTI SystemsSignals & Systems
Signals & Systems → LTI Systems → Group & Phase Delay
Last updated
Question
The phase response of a passband waveform at the receiver is given bywhere is the centre frequency, and and are positive constants. The actual signal propagation delay from the transmitter to receiver is
Correct answer
(C) α
Solution
The actual signal propagation delay is the group delay , which is defined as:Given .
Differentiating with respect to :Thus,Therefore, the propagation delay is .
Differentiating with respect to :Thus,Therefore, the propagation delay is .
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 LTI Systems
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 , …