In DFT multiplication in the time domain is circular convolution to the frequency

domain
Select one:
True
False

Question 2
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What is the z-transform of the signal

x(n) = 0.5 δ(n-3)?
Select one:
0.5 z^-3

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Question 3
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The synthesis and analysis equation for Fourier Series of continuous periodic
signals is equivalent to N point DFT and the inverse DFT, respectively
Select one:
True
False

Question 4
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Which of the following Z-transforms is equivalent to x(n) = u(n-1)

Select one:
sagot
1/1-z^-1 -1

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The exponent of z of an advanced impulse is negative.

Select one:
True
False

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The input and output of Discrete Fourier transform is discrete and infinite.
Select one:
True
False

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Find the DTFT of x[n] = 5n u[-n]

Select one:
a.

b.

c.

d.

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Property of DFT which shows additivity and scaling.
Select one:
a. Time reversal
b. Linearity
c. Shifting
d. Periodicity

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The frequency ranges of DFT is

Select one:
a. -π to π
b. from 0 to L-1
c. -n to n

d. -∞ to ∞
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An exponential sequence can be expressed as an arithmetic series.

Select one:
True
 False

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The z transform of the signal is given by X(z) = , its inverse z is:

Select one:
a. x(n) = 0.3n u(n)
b. x(n) = 0.3n u(n)
c. x(n) = 0.3 u(n)

d. x(n) = 0.3n u(-n)

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The Z-transform of convolution is multiplication.

Select one:
True
False

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When ω = π this corresponds to the____ possible rate of oscillation.

Select one:
a. 0%
b. 100%
c. Highest

d. Lowest
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DFT provides a discrete frequency representation of a finite-duration sequence

in the frequency domain
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True
False

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A Z-transform has limits from 0 to positive infinity is called a rational Z-

transform.
Select one:
True
False

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What is the sequence representation of the discrete signal described by the

functional representation given below?

Select one:
a.

b.

c.

d.

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DFT property which shows that a signal in time domain and frequency domain is
a result of a shifted by N samples.
Select one:
a. Time reversal
b. Periodicity
c. Linearity
d. Notation

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The zero padding extends the non-zero value without changing the value of
theentire signal
Select one:
True
False

Question 19
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A property of Z-Transform which involves ashift in the input will have a
corresponding shift in the output.
Select one:
a. Multiplication
b. Homogeneity
c. Time reversal
d. Shift invariance

Question 20
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The input and output of Discrete Fourier transform is discrete and finite.
Select one:
True
False

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The ROC of X(z) = z – z-1 + z -2

is:
Select one:
a. 0 ≤ z ≤ ∞
b. -∞ ≤ z ≤ ∞
c. all except z= 0 and ∞

d. -∞ < z < ∞
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The ROC of is

Select one:
a.

b.

c.

d.

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A property of Z-Transform which involves scaling is referred to as

Select one:
a. Notation
b. Shift invariance
c. Homogeneity
d. Multipication

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The ROC of x(n) = δ(n+1) - δ(n-1) is:

Select one:
a. -∞ < z <∞
b. All except z= 0 and ∞
c. 0 ≤ z≤∞

d. -∞ ≤z ≤ ∞
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The equation that shows the relationship of the past output and present and
past input samples and the present output sample is called
Select one:
a. Transformationequation
b. Analysis equation
c. Difference equation
d. Synthesis equation

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Time reversal property is similar to the

Select one:
a. Shifting property
b. Zero padding
c. Notation
d. Periodicity

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What is the z-transform of the signal

x(n) = 2n u(n) ?
Select one:
a.

b.
c.

d.

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A Z-transform has limits from 0 to positive infinity is called unilateral Z-

transform.
Select one:
True
False

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The value of z is the equivalent to the complex value in Fourier Transform if r =

0.
Select one:
True
False

Question 30
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In DFT multiplication in the time domain is multiplication in the frequency

domain
Select one:
True
False

Question 31
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Find the DFT of the discrete time signal x(n) = [j, 1, -j, 1]
Select one:
a. X(k) = [-2 , 2j,2, 2j]
b. X(k) = [2 , 2j,-2, 2j]
c. X(k) = [2j, 2,-2j, 2]

d. X(k) = [2 , -2j,2, -2j]

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An exponential sequence can be expressed as a geometric series.

Select one:
True
False

Question 33
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Which of the following is not a way to represent a discrete-time signal?

Select one:
a. n with rounded values
b. Sequence
c. Functional representation
d. Graphical

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Generally, for a finite duration anti-causal signal, the region of convergence is

Select one:
a. Entire z plane except 0
b. Entire z plane except - ∞
c. Entire z plane except 0 and ∞

d. Entire z plane except ∞

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The ROC of x(n) = u(n-1) is:

Select one:
a. ROC: |z| = 1
b. ROC: z > 1
c. ROC: |z| <1

d. ROC: |z| > 1

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Question 36
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Find the DFT of x(n) = [ -1 1 1 -1]

Select one:
a. X(k) = [0,-2 - 2j, 0,-2 + 2j]
b. X(k) = [0, 2 +2j, 0,2 - 2j]
c. X(k) = [0,-2 +2j, 0, -2 - 2j]

d. X(k) = [2 +2j, 0, 2 - 2j, 0 ]

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What is the z-transform of the signal

x(n) = 0.5 u(n) ?
Select one:
a.

b.

c.

d.

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The value of y(n) in DFT can be determined using N point DFT

Select one:
True
False

Question 39
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The analysis and synthesis equation for Fourier Series of continuous periodic
signals is equivalent to N point DFT and the inverse DFT, respectively
Select one:
True
False

Question 40
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The frequency range of discrete-time signals is

Select one:
a. Repetitive
b. Complete
c. Infinite
d. Finite

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The magnitude response of a rectangular pulse is a sinc function.

Select one:
True
False

Question 42
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Multiplication of two sequences in time-domain is _______ in frequency domain

Select one:
a. Cross multiplication
b. Multiplication
c. Division
d. Convolution

Question 43
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The output of Discrete Time Fourier transform is continuous periodic.

Select one:
True
False

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The DTFT of x[n] = 0.2 n u[-n]

Select one:
a. diverge
b. converge
c. 0

d. does not exist

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 The output of Discrete Time Fourier transform is discreteand finite.
Select one:
True
False

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Find the DTFT of the signal x[n] = 0.9n u[n]

Select one:
1/(1-0.9 e^-jw)
sagot

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Generally, for a finite duration two-sided signal, the region of convergence is

Select one:
a. Entire z plane except 0 and ∞
b. Entire z plane except ∞
c. Entire z plane except 0

d. Entire z plane except - ∞

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Generally, for a finite duration causal signal, the region of convergence is

Select one:
a. Entire z plane except 0 and ∞
b. Entire z plane except 0
c. Entire z plane except ∞

d. Entire z plane except -∞

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Region of convergenceis the set of values of z where the value of X(z) will
be_____
Select one:
a. infinite
b. 0
c. finite
d. undetermined

Question 50
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The value of y(n) in DFT can be determined using Inverse Fourier Transform
Select one:
True
False
The z transform of the signal is given by X(z) =z/(z-0.3) , its inverse z is:x(n) = 0.3^n u(n)

The exponent of z of an advanced impulse is positive.Select one: True

- The ROC of is 2/(1-z^(-1))Select one:z>1

- Generally, for a finite duration causal signal, the region of convergence is Select one: Entire z plane
except 0

- The Z-transform of convolution is multiplication.Select one: True

- A Z-transform has limits from 0 to positive infinity is called unilateral Z-transform.Select one: True

- The ROC of x(n) = δ(n+1) - δ(n-1) is:Select one: All except z= 0 and ∞

- The inverse z-transform of X(z) = z – z-1 + z -2 is: Select one: x(n) = δ(n+1 ) - δ(n-1 ) + δ(n-2 )

- The ROC of X(z) = z – z-1 + z -2 is:Select one: all except z= 0 and ∞

- A property of Z-Transform which involves scaling is referred to asSelect one: Homogeneity

- The Z-transform of convolution is a circular convolution.Select one: False

- The value of z is the equivalent to the complex value in Fourier Transform if r = 1.Select one: True

- The ROC of X(z) = z – z-1 + z -2 is:Select one: a. all except z= 0 and ∞

- An exponential sequence can be expressed as an arithmetic series.Select one: False

- The Z-transform of convolution is multiplication.Select one:True

- The value of z is the equivalent to the complex value in Fourier Transform if r = 1.Select one: True

- Generally, for a finite duration anti-causal signal, the region of convergence isSelect one: Entire z plane
except ∞
- The magnitude response of a rectangular pulse is a sine function.Select one: False- The output of
Discrete Time Fourier transform is continuous periodic.Select one:True

- The magnitude response of a rectangular pulse is a sinc function.Select one:True

- A property of Z-Transform which involves scaling is referred to asSelect one: Homogeneity

DFT property which shows that a signal in time domain and frequency domain is a result of a shifted byN
samples.Select one: Periodicity

- The input and output of Discrete Fourier transform is discrete and finite.Select one: True

- Find the DFT of x(n) = [ -1 1 1 -1]Select one: X(k) = [0,-2 - 2j, 0,-2 + 2j]

- When ω = π this corresponds to the____ possible rate of oscillation.Select one: Highest

- Which among the following steps are not included in FFT algorithm?Select one: Storing the signal x(n)
into a row vector

- In DFT multiplication in the time domain is multiplication in the frequency domainSelect one: False

- Property of DFT which shows additivity and scaling.Select one: Linearity

- If x(n) = [ 1 1 0 0 0.5] for 0 ≤ n ≤ 4, the z- transform of the signal is Select one: X(z) = 1 + z-1 + 0.5 z-4

- A signal defined as x(n) = nan u(n) has an ROC at Select one: |z| > |a|

- The zero padding extends the non-zero value by changing the value of the entire signal through
rounding ofSelect one: False

- The ROC of x(n) = δ(n+1) - δ(n-1) is:Select one: All except z= 0 and ∞

- The value of y(n) in DFT can be determined using Inverse Fourier TransformSelect one: True

- An exponential sequence can be expressed as a geometric series.Select one: True

- Find the DTFT of the signal x[n] = 0.9n u[n]Select one:1/(1-0.9e^-jw)

- A property of Z-Transform which involves ashift in the input will have a corresponding shift in the
output.Select one: Shift invariance

- The inverse z-transform of X(z) = z – z-1 + z -2 is: Select one: x(n) = δ(n+1 ) - δ(n-1 ) + δ(n-2 )

- Region of convergence is the set of values of z where the value of X(z) will be_____Select one: finite

- DFT provides a discrete frequency representation of infinite-duration sequence in the frequency

domainSelect one: False