GATE EC 2022 Set 1 — Question 51
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MSQ+2 / -0MediumPre-Emphasis & De-EmphasisAnalog CommunicationsCommunications
Communications → Analog Communications → Pre-Emphasis & De-Emphasis
Last updated
Question
Consider an FM broadcast that employs the pre-emphasis filter with frequency responsewhere rad/sec. For the network shown in the figure to act as a corresponding de-emphasis filter, the appropriate pair(s) of values is/are ________.
Correct answer
(A) R = 1 kΩ, C = 0.1 μF
Solution
The frequency response of the pre-emphasis filter is given as , where rad/sec. The corresponding de-emphasis filter should have a transfer function that is the inverse of the pre-emphasis characteristic in the signal band:The given circuit is a first-order RC low-pass filter. Its transfer function is:For the circuit to act as the de-emphasis filter, we equate the time constants:Now, we evaluate the given options for the product :
(A) s. (Correct)
(B) s. (Incorrect)
(C) s. (Incorrect)
(D) s. (Incorrect)Only option (A) satisfies the required time constant.
(A) s. (Correct)
(B) s. (Incorrect)
(C) s. (Incorrect)
(D) s. (Incorrect)Only option (A) satisfies the required time constant.
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 Analog Communications
2026 Set 1 Q22Consider a discrete memoryless source with an alphabet of four source symbols. is a…2026 Set 1 Q32A wireless digital transmission scheme is using -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 () of a digital communication system be and…2026 Set 1 Q57Consider a real, narrowband signal where the maximum…