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Signals&Systmes Home Work1

Total questions: 20

Worksheet time: 8mins

Name
Class
Date
1.

Which mathematical notation specifies the condition of periodicity for a continuous time signal?

a)

x(t) = x(t +T0)

b)

x(n) = x(n+ N)

c)

x(t) = e-αt

d)

None of the above

2.

Which property of delta function indicates the equality between the area under the product of function with shifted impulse and the value of function located at unit impulse instant?

a)

Replication

b)

Sampling

c)

Scaling

d)

Product

3.

Damped sinusoids are _____

a)

sinusoid signals multiplied by growing exponentials

b)

sinusoid signals divided by growing exponentials

c)

sinusoid signals multiplied by decaying exponentials

d)

.sinusoid signals divided by decaying exponentials

4.

Which of the following signals are monotonic in nature?

a)

1-exp(-t)

b)

1-exp(sin(t))

c)

log(tan(t))

d)

cos(t)

5.

What is the period of the following signal, x(t) = sin(18*pi*t + 78 deg)?

a)

19

b)

29

c)

13

d)

49

6.

For the signal, x(t) = log(cos(a*pi*t+d)) for a = 50 Hz, what is the time period of the signal, if periodic?

a)

0.16s

b)

0.08s


c)

0.12s

d)

0.04s

7.

A signal is a physical quantity which does not vary with ____________

a)

Time

b)

Space

c)

Independent Variables

d)

Dependent Variables

8.

Most of the signals found in nature are _________

a)

Continuous-time and discrete-time

b)

Continuous-time and digital

c)

Digital and Analog

d)

Analog and Continuous-time

9.

Which one of the following is not a characteristic of a deterministic signal?

a)

Exhibits no uncertainty

b)

Instantaneous value can be accurately predicted

c)

Exhibits uncertainty

d)

Can be represented by a mathematical equation

10.

Determine the Time period of: x(t)=3 cos⁡(20t+5)+sin⁡(8t-3).

a)

1/10 sec

b)

1/20 sec

c)

2/5 sec

d)

2/4 sec

11.

Determine the odd component of the signal: x(t)=cost+sint.

a)

sint


b)

2sint

c)

cost

d)

2cost

12.

For an energy signal __________

a)

E=0

b)

P= ∞

c)

E= ∞

d)

P=0

13.

Determine the power of the signal: x(t) = cos(t).

a)

1/2


b)

1

c)

3/2

d)

2

14.

Discrete time signal is derived from continuous time signal by _____________ process.

a)

Addition

b)

Multiplying

c)

Sampling

d)

Addition and multiplication

15.

Even signals are symmetric about the vertical axis.

a)

True

b)

False

16.

If x (-t) = -x (t) then the signal is said to be _____________

a)

Even signal

b)

Odd signal

c)

Periodic signal

d)

Non periodic signal

17.

When x(t ) is said to be non periodic signal?

a)

If the equation x (t) = x (t + T) is satisfied for all values of T

b)

If the equation x (t) = x (t + T) is satisfied for only one value of T

c)

If the equation x (t) = x (t + T) is satisfied for no values of T

d)

If the equation x (t) = x (t + T) is satisfied for only odd values of T

18.

Noise generated by an amplifier of radio is an example for?

a)

Discrete signal

b)

Deterministic signal

c)

Random signal

d)

Periodic signal

19.

Energy signal has zero average power and power signal has zero energy.

a)

True

b)

False

20.

Which of the following is an example of amplitude scaling?

a)

Electronic amplifier

b)

Electronic attenuator

c)

Both amplifier and attenuator

d)

Adder