# Electronics and Communication Engineering - Signals and Systems

Exercise : Signals and Systems - Section 1

- Signals and Systems - Section 1
- Signals and Systems - Section 2
- Signals and Systems - Section 3
- Signals and Systems - Section 4
- Signals and Systems - Section 5
- Signals and Systems - Section 6
- Signals and Systems - Section 7
- Signals and Systems - Section 8
- Signals and Systems - Section 9
- Signals and Systems - Section 10

6.

If and A + B is

Answer: Option

Explanation:

Add elements individually.

7.

A voltage V(

*t*) is a Gaussian ergodic random process with a mean of zero and a variance of 4 volt^{2}. If it is measured by a dc meter. The reading will beAnswer: Option

Explanation:

DC meter reads mean value.

8.

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

- band stop
- band pass
- all pass

Answer: Option

Explanation:

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

9.

In the given figure the ratio T/

*d*is the duty factor.Answer: Option

Explanation:

.

10.

If £[

*f*(*t*)] = F(*s*), then £[*f*(*t*-*T*)] =Answer: Option

Explanation:

A linear system is one in which the relationship between input and output is linear.

All linear system possess the property of superposition *i.e., * if input *u*_{1} gives output *y*_{1} and input *u*_{2} gives output *y*_{2} then input *u*_{1} + *u*_{2} will give output *y*_{1} + *y*_{2}.

Superposition implies homogencity *i.e., * if input *u* gives output *y*, then input *ku* gives output *ky* where *k* is a rational number.

In general a system is linear if a transformation *T* satisfies the relation

T(a*u*_{1} + β*u*_{2}) = aT(*u*_{1}) + βT(*u*_{2})

where a and β are constant.

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