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Digital Signal Processing Multiple Choice Questions | MCQs | Quiz

Digital Signal Processing Interview Questions and Answers
Practice Digital Signal Processing questions and answers for interviews, campus placements, online tests, aptitude tests, quizzes and competitive exams.

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•   ↓ Discrete Time System ↓
•   Implementation
•   Difference Equations
•   Analysis
•   Discrete Time Signals
•   Discrete Time Systems
•   Correlation
•   A2D & D2A Converters
•   Signal Classification
•   Signal Processing
•   Z Transform
•   Z Transform Properties - 1
•   Z Transform Properties - 2
•   Rational Z Transform
•   Z Transform Inversion
•   One Sided Z Transform
•   Z Domain System Analysis
•   ↓ Time Signal Analysis ↓
•   Continuous Analysis
•   Discrete Analysis - 1
•   Discrete Analysis - 2
•   Fourier Transform Property
•   LTI System Characteristics
•   Frequency Selective Filters
•   Inverse Systems
•   Frequency Domain Sample
•   DFT Properties
•   DFT Signal Analysis
•   Algorithm Computation - 1
•   Algorithm Computation - 2
•   FFT Algorithm Applications
•   DFT Computation Filtering
•   Quantization Effects
•   Realization Structures
•   FIR System Structures - 1
•   FIR System Structures - 2
•   IIR System Structures
•   State Space System
•   Number Representation - 1
•   Number Representation - 2
•   DTS Processing
•   Quantization Error Analysis
•   IIR Filter Design
•   Butterworth Filters Design-1
•   Butterworth Filters Design-2
•   Chebyshev Filters - 1
•   Chebyshev Filters - 2
•   Backward Method
•   Bilinear Transformations
•   Filter Quantization
•   Digital Filters Effects
•   Digital Filters Design
•   FIR Filters Design
•   FIR Windows Design - 1
•   FIR Windows Design - 2
•   Frequency Sample Method
•   Ripple Filter Design - 1
•   Ripple Filter Design - 2
•   FIR Differentiator Design
•   Hilbert Transformers Design
•   FIR Design Comparison
•   Analog Filters Design
•   Derivatives Design Method
•   Impulse Filter Design
•   Matched Z Transformation
•   Analog Characteristics
•   ↓ Transformations ↓
•   Analog Domain Frequency
•   Digital Domain Frequency
•   PadeApproximation Method
•   Least Squares Design
•   FIR Least Squares Filters
•   IIR Frequency Domain Filter
•   Analog Filters Classification
•   Butterworth Filters
•   Frequency Transformations
•   Factor I Interpolation
•   Sampling Rate Conversion
•   Multirate Signal Processing
•   Factor D Decimation
•   A/D Converter Oversampling
•   Sample & Hold
•   Band Pass Signal Sampling
•   Bandpass Signal
•   Quantization & Coding
•   Digital-Analog Conversion

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Digital Signal Processing Questions and Answers – Frequency Domain Sampling DFT

Posted on October 27, 2015 by Manish

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Frequency Domain Sampling DFT”.

1. If x(n) is a finite duration sequence of length L, then the discrete Fourier transform X(k) of x(n) is given as:
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q1
View Answer

Answer: a
Explanation: If x(n) is a finite duration sequence of length L, then the Fourier transform of x(n) is given as
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q1a
If we sample X(ω) at equally spaced frequencies ω=2πk/N, k=0,1,2…N-1 where N>L, the resultant samples are
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q1b
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2. If X(k) discrete Fourier transform of x(n), then the inverse discrete Fourier transform of X(k) is:
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q2
View Answer

Answer: d
Explanation: If X(k) discrete Fourier transform of x(n), then the inverse discrete Fourier transform of X(k) is given as
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q2a

3. A finite duration sequence of length L is given as x(n) =1 for 0≤n≤L-1=0 otherwise , then what is the N point DFT of this sequence for N=L?
a) X(k) =L for k=0, 1,2….L-1
b) X(k) =L for k=0
=0 for k=1,2….L-1
c) X(k) =L for k=0
=1 for k=1,2….L-1
d) None of the mentioned
View Answer

Answer: b
Explanation: The Fourier transform of this sequence is
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q3
If N=L, then X(k)= L for k=0
=0 for k=1,2….L-1

4. The Nth rot of unity WN is given as:
a) ej2πN
b) e -j2πN
c) e-j2π/N
d) ej2π/N
View Answer

Answer: c
Explanation: We know that the Discrete Fourier transform of a signal x(n) is given asdigital-signal-processing-questions-answers-frequency-domain-sampling-dft-q4
Thus we get Nth rot of unity WN= e-j2π/N

5. Which of the following is true regarding the number of computations requires to compute an N-point DFT?
a) N2 complex multiplications and N(N-1) complex additions
b) N2 complex additions and N(N-1) complex multiplications
c) N2 complex multiplications and N(N+1) complex additions
d) N2 complex additions and N(N+1) complex multiplications
View Answer

Answer: a
Explanation: The formula for calculating N point DFT is given as
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q1b
From the formula given at every step of computing we are performing N complex multiplications and N-1 complex additions. So, in a total to perform N-point DFT we perform N2 complex multiplications and N(N-1) complex additions.
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6. Which of the following is true?
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q6d) None of the mentioned
View Answer

Answer: b
Explanation: If XN represents the N point DFT of the sequence xN in the matrix form, then we know that
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q6a

7. What is the DFT of the four point sequence x(n)={0,1,2,3}?
a) {6,-2+2j-2,-2-2j}
b) {6,-2-2j,2,-2+2j}
c) {6,-2+2j,-2,-2-2j}
d) {6,-2-2j,-2,-2+2j}
View Answer

Answer: c
Explanation: The first step is to determine the matrix W4. By exploiting the periodicity property of W4 and the symmetry property
WNk+N/2= -WNk
The matrix W4 may be expressed as
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q7

8. If X(k) is the N point DFT of a sequence whose Fourier series coefficients is given by ck, then which of the following is true?
a) X(k)=Nck
b) X(k)=ck/N
c) X(k)=N/ck
d) None of the mentioned
View Answer

Answer: a
Explanation: The Fourier series coefficients are given by the expression
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q8

9. What is the DFT of the four point sequence x(n)={0,1,2,3}?
a) {6,-2+2j-2,-2-2j}
b) {6,-2-2j,2,-2+2j}
c) {6,-2-2j,-2,-2+2j}
d) {6,-2+2j,-2,-2-2j}
View Answer

Answer: d
Answer: Given x(n)={0,1,2,3}
We know that the 4-point DFT of the above given sequence is given by the expression
digital-signal-processing-questions-answers-frequency-domain-sampling-dft-q1b
In this case N=4
=>X(0)=6,X(1)=-2+2j,X(2)=-2,X(3)=-2-2j.

10. If W4100=Wx200, then what is the value of x?
a) 2
b) 4
c) 8
d) 16
View Answer

Answer: c
Explanation: We know that according to the periodicity and symmetry property,
100/4=200/x=>x=8.
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Sanfoundry Global Education & Learning Series – Digital Signal Processing.

To practice all areas of Digital Signal Processing, here is complete set of 1000+ Multiple Choice Questions and Answers.

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