M.Sc. (Semester III) (CBCS) Examination Nov/Dec-2018
Electronics Science
DIGITAL SIGNAL PROCESSING
Time: 2½ Hours Max. Marks: 70
Instructions: All questions are compulsory.
Figures to the right indicate full marks.
Use of non programmable calculator is allowed.
Q.1 Multiple choice questions 14
Aliasing or Fold over error occurs when sampling frequency fs is
2W 2
W
The of two Discrete Fourier Transforms is equivalent to the
circular convolution of sequences in the time domain.
Addition Subtraction
Multiplication Division
FIR Digital filter are linear filter.
Amplitude Frequency
Phase All of the above
The number of multiplications involved in FIR filter design is
Large Moderate
Zero Small
Amplitude up scaling of signal sequence causes of signal.
Compression Expansion
Attenuation Amplification
Nyquist Criterion for sampling the analog signal with bandwidth W is fs
2W
W 2W
For a casual finite duration sequence ROC is
Entire Z-plane except Z 0
Entire Z-plane except Z a
Entire Z-plane except Z 0 and Z 1
Entire Z-plane
Convolution of two sequences in time domain is equivalent to of
its Z transform in Z-domain.
Addition Subtraction
Multiplication Division
Region of Convergence of is
Z 0 Z 1
Z 1 Z 1
10) The system function of LTI system is
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SLR-VH-241
11) Z-transforms converts a discrete time domain signal into a
representation.
Complex frequency-domain Complex time-domain
Both b None of these
12) z-transform of the sequence is
1
Z-m 1/m
13) Inverse z-transform of is
an a
anu(n)
14) The type of systems which are characterized by input and the output
quantized at certain levels are called as
analog discrete
continuous digital
Q.2 Answer the following. (Any Four) 08
Three advantages and two disadvantages of bilinear transformation.
Comparison of FIR and IIR filters.
Digital signal processing and its three limitations.
Represent unit impulse and unit ramp signal.
What is Nyquist Criteria?
Write Notes on (Any Two) 06
Obtain DFT of delayed unit impulse
z-transform of system
Convolution and convolution methods
Q.3 Answer the following (any two) 08
Discuss sampling theorem and aliasing effect in conversion.
Explain linearity property of z-transform.
What is DFT? Obtain an expression for it.
Answer the following (Any One) 06
Explain in detail frequency sampling structure of FIR filter.
Explain in detail impulse invariance method.
Q.4 Answer the following (Any Two) 10
Find z-transform of the signal x n [sin ω0n]u n .
Explain representation of discrete time signal s.
Explain linearity property of DFT.
Answer the following (any one) 04
Determine the z-transform of anu n − bnu(−n − and find ROC.
Explain the cascade Form of IIR filter design.
Q.5 Answer the following (Any Two) 14
Explain in detail the following structure of FIR filter.
Direct Form
ii) Cascade Form
Explain in detail DFT of long duration sequence by overlap add
method.
Explain stability criterion of z-transform with suitable sketch.