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Signals and Systems

Answer: D

Because F.T. of a Triangular function is square sampling function.

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12.

The Fourier series of an odd periodic function contains

Answer: D

For an odd function f(- x) = - f(x) Hence, only sine terms.

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13.

The impulse response of discrete time system is x[n] = (4)n ∪[3 - n], the system is

Answer: D

It is stable and it depend upon future value for - ve n so it is non causal.

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Answer: D

Because F.T. of a Triangular function is square sampling function.

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15.

δ(t - b) is a pulse function.

Answer: B

It is an impulse function occuring at t = b.

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16.

A first order system will never be able to give a __________ response

1.band stop

2.band pass

3.all pass

Choose the correct option

Answer: C

Because to design band pass or band stop, transfer function of must be second order.

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17.

The analog signal m(t) is given below m(t) = 4 cos 100 pt + 8 sin 200 pt + cos 300 pt, the Nyquist sampling rate will be

Answer: C

m (t) = 4 cos 100 pt + 8 sin 200 pt + cos 300 pt

Nyquist sampling freq fs ≤ 2fm where fm is highest frequency component in given signal and highest fm in 3rd part

2pfmt = 300 pt

fm = 150 Hz

fs = 2 x 150 p 300 Hz

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18.

The trignometric Fourier series of an even function of time does not have

Answer: C

An even function cannot have sine terms because for an even function f( - x) = f(x).

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19.

Which one is a non-causal system?

Answer: A

Because in (a) if you put n = 1 then y(n) = x(2) which shows output depend upon future value.

While in (b), (c) input converted to Past or Present and past.

Note that n cannot be in fraction so for x(n/2) you will put n = 2, 4, ... etc. not 1, 3, 5 .... etc.

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20.

A voltage wave having 5% fifth harmonic content is applied to a series RC circuit. The percentage fifth harmonic content in the current wave will be

Answer: B

IC = V(jωC).

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