1. How is the discrete time impulse function defined in terms of the step function?

a) d[n] = u[n+1] – u[n].

b) d[n] = u[n] – u[n-2].

c) d[n] = u[n] – u[n-1].

d) d[n] = u[n+1] – u[n-1].

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2. What is the definition of the delta function in time space intuitively?

a) Defines that there is a point 1 at t=0, and zero everywhere else

b) Defines that there is a point 0 at t=0, and 1 everywhere else

c) Defines 1 for all t > 0, and 0 else

d) Defines an impulse of area 1 at t=0, zero everywhere else

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3. Is it practically possible for us to provide a perfect impulse to a system?

a) Certainly possible

b) Impossible

c) Possible

d) None of the mentioned

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4. The convolution of a discrete time system with a delta function gives

a) the square of the system

b) the system itself

c) the derivative of the system

d) the integral of the system

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5. Find the value of 2sgn(0)d[0] + d[1] + d[45], where sgn(x) is the signum function.

a) 2

b) -2

c) 1

d) 0

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6. Where h*x denotes h convolved with x, x[n]*d[n-90] reduces to

a) x[n-89].

b) x[n-91].

c) x[n=90].

d) x[n].

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7. Where h*x denotes h convolved with x, find the value of d[n]*d[n-1].

a) d[n].

b) d[n-1].

c) d^{2}[n].

d) d^{2}[n-1].

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8. How is the continuous time impulse function defined in terms of the step function?

a) u(t) = d(d(t))/dt

b) u(t) = d(t)

c) d(t) = du/dt

d) d(t) = u^{2}(t)

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9. In which of the following useful signals, is the bilateral Laplace Transform different from the unilateral Laplace Transform?

a) d(t)

b) s(t)

c) u(t)

d) all of the mentioned

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10. What is the relation between the unit impulse function and the unit ramp function?

a) r = dd(t)/dt

b) d = dr/dt

c) d = d^{2}(r)/dt^{2}

d) r = d^{2}(d)/dt^{2}

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