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ECE Questions...........

Printed From: One Stop GATE
Category: GATE Technical Discussions
Forum Name: GATE ECE
Forum Discription: General Technical Discussions, Queries, doubts etc. for GATE in ECE.
URL: http://forum.onestopgate.com/forum_posts.asp?TID=375
Printed Date: 09Feb2025 at 1:23am


Topic: ECE Questions...........
Posted By: Neha Agarwal
Subject: ECE Questions...........
Date Posted: 15Feb2007 at 12:57pm



1 . A signal x(n) = sin(w0n + f ) is the input to a linear time-invariant system having a frequency response H(e^jw ). If the output of the system Ax(n - n0), then the most general form of ÐH(ejw) will be

A
. - n0w0 + b for any arbitrary real b.
B. - n0w0 + 2pk for any arbitrary integer k.
C. n0w0 + 2pk for any arbitrary integer k.
D. -n0w0 f.
_________________________

2. Noise with uniform power spectral density of NW/Hz is passed through a filter H (w) = 2 exp(-jwtd) followed by an ideal low pass filter of bandwidth BHz. The output noise power in Watts is

A
. 2NB
B. 4NB
C. eNB
D. 16 NB
_________________________

3. The state variable equations of a system are:
i. x1 = - 3×1 - x2 + u
ii. x1 = 2×1, y = x1 + u
The system is

A
. controllable but not observable
B. observable but not controllable
C. neither controllable nor observable
D. controllable and observable
_________________________

4. A 1 mW video signal having a bandwidth of 100 MHz is transmitted to a receiver through a cable that has 40 dB loss. If the effective one-sided noise spectral density at the receiver is 10-20 Watt/Hz, then the signal-to-noise ratio at the receiver is

A. 50 dB
B. 30 dB
C. 40 dB
D. 60 dB

Ans are:

1-B
2-B
3-D
4-A


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