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Electronics and Communication Engineering - Signals and Systems

Exercise : Signals and Systems - Section 4
36.
A rectangular pulse is passed through an L.P.F. The response is a
triangular
trapezoidal function
sampling
Both (a) and (b)
Answer: Option
Explanation:

Because LPF is an integrator circuit, if we integrate Rectangular Pulse it converted to triangular.

37.
Consider z transform of a signal as given below

then the response will be
IIR
FIR
Depends on value of n
Cannot determined
Answer: Option
Explanation:

If we solve the expression, we get H(z) in which, we get multiple poles at the origin and no poles outside.

Hence it is an FIR system.

38.
The eigen values of matrix are
1, 1
- 1, - 1
j, - j
1, - 1
Answer: Option
Explanation:

Eigen values of matrix A are roots of characteristic equation. [λ1- A] = 0 where λ is a scalar. Therefore

(λ + 1)(λ - 1) = 0. The roots are - 1 and + 1.

39.

Assertion (A): If , the final value of i(t) is 2A

Reason (R): As per final value theroem

Both A and R are correct and R is correct explanation of A
Both A and R are correct but R is not correct explanation of A
A is true, R is false
A is false, R is true
Answer: Option
Explanation:

.

40.
A signal f(t) = cos 10pt + 3 cos 4pt is instantaneously sampled. The maximum allowable value of sampling interval Ts in sec is
1 / 4 sec
1 / 8 sec
1 / 8p sec
1 / 10 sec
Answer: Option
Explanation:

fs = 2 fm where fm is the highest frequency component.

so .

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