Question 1

The Fourier series of an odd periodic function contains

Accepted Answer

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

Question 2

If transfer function of a system is H(z) = 6 + z-1 + z-2 then system is

Accepted Answer

H(z) = 6 + z-1 - z-2, solve it by considering H(z) = 0 z = 1/3, -1/2 in H(z) only numerator. Hence z = 1/3, - 1/2 will be zero, and if zero lies inside the unit circle, system will be of minimum phase.

Question 3

If

Accepted Answer

det.|A| = 3(8 - 12) = - 12.

Question 4

Assertion (A): If , the initial value of i(t) is 5A Reason (R): As per initial vaue theroem

Accepted Answer

Initial value theorem when applied to I(s) gives 5 A.

Question 5

If , the coefficient of term e-t in f(t) will be

Accepted Answer

Coefficient of e-t = .

Question 6

In an ac circuit the fundamental component of current wave lags the corresponding voltage wave by 20°. The third harmonic component of current wave lags the corresponding voltage by an angle.

Accepted Answer

For third harmonic θ = tan-1 = .

Question 7

If , the terms in f(t) will have

Accepted Answer

(s + 1) term will give e-t and (s + 2) term will give e-2t .

Question 8

Consider Pole zero diagram as shown, If two Poles are moved in opposite direction towards ω = p/2 and -p/2, the filter will be

Accepted Answer

But still we will get the same response, zero are at same position.

Question 9

An impulse function consist of

Accepted Answer

Because F.T. of δ(t) = 1, 1 is a Constant function ranging from -∞ to +∞.

Question 10

The continuous time system with impulse response h(t) = is stable, for n is even, when

Accepted Answer

For stable system exponential must be -ve so that a < 0.

Signals and Systems Questions