Guru Gobind Singh Indraprastha Vishwavidyalaya 2007 B.E Computer Science Digital signal processing - Question Paper
END TERM PAPER OF DSP 2007
This is the end term paper of digital signal processing.
(Please write your Exam Roil t\'o.) txum nun
Sixth Semester IB.TechI May-June 2007
[Paper Code; ETIT308 _ _ Subject: Digital Signal Processing
Time: 3 Hours_ Maximum Marks :75________
| Note: Q1 is compulsory. Attempt any one question from every unit _ _
Q1 (a) Define linearity and shift-invariance properties of the discrete-time systems. Verify
these conditions for the following systems: (5x5=25)
(i) T[x(n)] = X(k)
* *
(ii) T[x(n)] = ex(n)
(b) Describe different methods for finding inverse 2-transform.
(c) Explain polyphase structures for implementing FIR systems.
(d) Why direct computation of the DFT is not desirable. How symmetry and periodicity of the W*" are used to reduce the computational complexity of the DFT.
(e) Explain minimum-phase and maximum-phase systems.
UNIT-1
Q2 (a) Determine the z-transform of the following sequences and give their region of
convergence: (7)
S'
(i) - u(n)
(ii) Ij ((#)10))
(b) Discuss the z-transform theorems and properties. (5.5)
Q3 (a) Explain DFT. Give matrix relations for computing DFT and IDFT. (6)
(b) Define circular convolution. Evaluate circular convolution of the following sequences: (6.5)
x(n)={1 3 4 2 1} and h(n)={2 0 10 1}
UNIT-II
Q4 (a) Explain the Overlap-Add method for evaluating convolution of infinite length
sequence with finite length sequence (6.5)
(b) Give the symmetry properties of the DFT of a complex sequence and explain them. (6)
Q5 Explain Decimation-in-Time FFT algorithm for computing DFT. Compute DFT for the
sequence [1, 4, 8, 6, 3, 5, 6, 2] using FFT algorithm. (12.5)
UNIT-III
Q6 (a) Discuss the frequency response of the discrete-time systems. (6)
(b) Evaluate the frequency response of the system having following unit-sample response: (6.5)
fl 0$n<N- = \
h(nH
[0 elsewhere Draw a rough sketch of the magnitude and phase response.
Q7 (a) What is the role of A/D and D/A converters in digital signal processing? Discuss
different approaches for D/A conversion. (6.5)
(b) What are the sample-hold circuits? Explain with the help of an example. (6)
UNIT-IV
Q8 (a) How digital filter specifications are given? Explain with the help of magnitude
response specifications. (5)
(b) Explain the process of HR filter design using bilinear transformation. (7.5)
Q9 (a) Discuss the cascade, parallel and transposed forms of the HR filter structures. (6) (b) Explain the frequency sampling approach for designing FIR filters. (6.5)
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