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241.

A 1mW 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 [2 marks]
(a) 50 db
(b) 30 db
(c) 40 db
(d) 60 db

asked in Electronics and Communication Engineering, 2004

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242.

Consider the signal x(t) shown in the figure. Let h(t) denote the impulse response of the filter matched to x(t), with h(t) being non-zero only in the interval 0 to 4 sec. The slope of h(t) in the interval 3 < t< 4 sec is

[2 marks]
(a) 1/2 sec^-1
(b) -1 sec^-1
(c) -1/2 sec^-1
(d) 1 sec^-1

asked in Electronics and Communication Engineering, 2004

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243.

Given , the state transition matrix e^At is given by
[2 marks]

asked in Electronics and Communication Engineering, 2004

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244.

The state variable equation of a system are:
1. x₁ = -3x₁ - x₂ + u
2. x₂ = 2x₁
y = x₁ + u
The system is [2 marks]
(A) controllable but not observable
(B) observable but not controllable
(C) neither controllable nor observable
(D) controllable and observable

asked in Electronics and Communication Engineering, 2004

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245.

For the polynomial P(s) = s⁵ + s⁴ + 2s³ + 2s² + 3s + 15, the number of roots which lie in the right half of the s-plane is [2 marks]
(a) 4
(b) 2
(c) 3
(d) 1

asked in Electronics and Communication Engineering, 2004

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246.

The open loop transfer function of a unity feedback system is
G(s) = K/[s(s²+s+2)(s+3)].The range of K for which the system is stable is
[2 marks]
(a) 21/44 > K > 0
(b) 13 > K > 0
(c) 21/4 < K < ∞
(d) -6 < K < ∞

asked in Electronics and Communication Engineering, 2004

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