1 $A signal is defined as a continuous-time signal if:$

A.

The signal is defined for all values of in a continuous interval.

B.

The signal is defined only at integer values of .

C.

The amplitude of the signal is quantized.

D.

The variable is discrete.

2 $Which of the following notations standardly represents a discrete-time signal?$

A.

B.

C.

D.

3 $The total energy of a continuous-time signal is defined as:$

A.

B.

C.

D.

4 $A signal is classified as an Energy Signal if:$

A.

and

B.

and

C.

and

D.

and

5 $A signal is classified as a Power Signal if:$

A.

and

B.

and

C.

and

D.

and

6 $Calculate the average power of the signal .$

A.

B.

C.

D.

7 $A continuous-time signal is periodic if there exists a positive constant such that:$

A.

for all

B.

for all

C.

for all

D.

for all

8 $The sum of two periodic signals and with periods and is periodic only if:$

A.

B.

The sum is always periodic.

C.

The product is an integer.

D.

The ratio is a rational number.

9 $A discrete-time sinusoidal signal is periodic only if:$

A.

is an integer.

B.

is a rational number.

C.

is any real number.

D.

is an irrational number.

10 $Which of the following conditions defines an Even Signal ?$

A.

B.

C.

D.

11 $Which of the following conditions defines an Odd Signal ?$

A.

B.

C.

D.

12 $Any signal can be decomposed into an even component and an odd component . The even component is given by:$

A.

B.

C.

D.

13 $The product of two even signals is:$

A.

Odd

B.

Even

C.

Zero

D.

Neither even nor odd

14 $The product of an even signal and an odd signal is:$

A.

Constant

B.

Odd

C.

Neither even nor odd

D.

Even

15 $Calculate where is an odd signal.$

A.

B.

C.

$0$

D.

16 $Given a signal, the transformation with represents:$

A.

Time delay (Shift to the right)

B.

Time advancement (Shift to the left)

C.

Time scaling

D.

Time reversal

17 $Given a signal, the transformation results in:$

A.

Shifting the signal right by 2

B.

Doubling the amplitude

C.

Compression of the signal by a factor of 2

D.

Expansion of the signal by a factor of 2

18 $For a signal, the operation is known as:$

A.

Time scaling by 2

B.

Amplitude reversal

C.

Time shifting

D.

Time reversal (Reflection)

19 $When performing combined operations, the correct order of operations to obtain from is:$

A.

Scale by, then shift by .

B.

Scale by, then shift by .

C.

Shift by, then scale by .

D.

Shift by, then scale by .

20 $Wait, let's re-evaluate the previous question logic. To get from :$

A.

1. Shift by (left). 2. Replace with .

B.

None of the above.

C.

1. Shift by (right). 2. Replace with .

D.

1. Replace with . 2. Shift by (right).

21 $The unit step function is defined as:$

A.

Undefined at

B.

1 for, 0 otherwise

C.

1 for, 0 otherwise

D.

1 for all

22 $The relationship between the unit impulse and the unit step is:$

A.

B.

C.

They are unrelated.

D.

23 $The Sifting Property of the unit impulse function states that equals:$

A.

B.

C.

D.

$0$

24 $The property simplifies to:$

A.

B.

C.

D.

25 $The scaling property of the continuous unit impulse function states that is equal to:$

A.

B.

C.

D.

26 $For discrete time signals, the unit impulse is defined as:$

A.

1 for, 0 otherwise

B.

1 for, 0 otherwise

C.

undefined

D.

for, 0 otherwise

27 $The discrete unit step sequence can be expressed in terms of the discrete impulse as:$

A.

B.

Both B and C

C.

D.

28 $Euler's formula relates complex exponentials to sinusoids as:$

A.

B.

C.

D.

29 $A continuous time real exponential signal is decaying if:$

A.

B.

C.

D.

30 $The fundamental period of the signal is:$

A.

B.

It is not periodic

C.

D.

31 $Consider the discrete signal . This represents:$

A.

A ramp function.

B.

A rectangular pulse of length .

C.

A periodic square wave.

D.

A unit impulse at .

32 $In the context of software simulation (e.g., MATLAB), a continuous time signal is approximated by:$

A.

A vector of values at discrete sampling intervals.

B.

A loop structure.

C.

A symbolic variable.

D.

An infinite array.

33 $Which MATLAB function is best suited to plot a discrete-time signal?$

A.

stem()

B.

plot()

C.

bar()

D.

hist()

34 $To generate a time vector t from 0 to 10 with a step size of 0.1 in MATLAB, the correct syntax is:$

A.

t = 0:10:0.1

B.

t = [0, 10]

C.

t = linspace(0, 0.1, 10)

D.

t = 0:0.1:10

35 $If is energy signal and is energy signal, then is generally:$

A.

An Energy signal

B.

Undefined

C.

A Power signal

D.

Neither

36 $A signal is called Causal if:$

A.

B.

is defined for all

C.

for

D.

for

37 $A signal is Anti-causal if:$

A.

B.

for

C.

for

D.

It is periodic.

38 $The Root Mean Square (RMS) value of a signal over a period is related to Average Power by:$

A.

B.

C.

D.

39 $Which of the following signals is a Power signal?$

A.

B.

C.

D.

40 $When simulating the multiplication of two signals x and y in MATLAB (element-wise), the operator used is:$

A.

.*

B.

^

C.

*

D.

@

41 $The area under the unit impulse function is:$

A.

B.

0

C.

Undefined

D.

1

42 $What is the result of ?$

A.

$2$

B.

$1$ (almost everywhere)

C.

D.

$0$

43 $If a signal is shifted by, its magnitude spectrum (frequency content magnitude):$

A.

Is shifted by .

B.

Changes in amplitude.

C.

Remains unchanged.

D.

Becomes zero.

44 $A signal is deterministic if:$

A.

It has finite energy.

B.

It is periodic.

C.

Its value cannot be predicted precisely.

D.

It can be completely represented by a mathematical equation at any time.

45 $The operation in discrete time represents:$

A.

Interpolation (Upsampling)

B.

Amplitude Scaling

C.

Decimation (Downsampling)

D.

Time Shift

46 $Which of the following is true for the complex exponential signal where ?$

A.

If, it is an oscillating signal.

B.

If, it is a constant amplitude sinusoid.

C.

If, it is a decaying exponential.

D.

If, it is a growing exponential.

47 $Compute the value: .$

A.

0

B.

1

C.

-1

D.

48 $The signal is:$

A.

Neither

B.

Even

C.

Both

D.

Odd

49 $The signal is:$

A.

Both

B.

Neither

C.

Odd

D.

Even

50 $In software simulation, to approximate the integral of a signal sampled with interval, one typically uses:$

A.

max(x)

B.

mean(x)

C.

sum(x) * dt

D.

diff(x)

Unit 1 - Practice Quiz