Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 6th Semester (Sixth Semester) 2016-2017 EEC602 Digital Signal Processing Question Paper
B.TECH.
THEORY EXAMINATION (SEM?VI) 2016-17
DIGITAL SIGNAL PROCESSING
T ime : 3 Hours Max. Marks : 100
Note .' Be precise in your answer. In case ofnumericalproblem assume data wherever not provided.
SECTION ? A
1. Explain the following: 10 x 2 = 20
(a) What do you understand by Discrete? time systems?
(b) Test whether the following signal is periodic or not and if periodic then find period of
signal: X[n] =cos (nn/S) +sin (nn/6)
(c) What is Nyquist sampling theorem? How reconstruction of signal is done?
(d) Discuss discrete time processing of continuous time signal and continuous time
processing of discrete time signal.
(e) What is all pass system? Draw its typical pole?zero plot?
(1) What do you understand by multirate signal processing?
(g) How sampling & Reconstruction of Discrete Time signal is done?
(h) Explain Twiddle factor.
(i) Discuss the relationship of DFT with Z-transform
(j) Discuss 8?point Radix?2 decimation-in?time FFT algorithms.
SECTION ? B
2. Attempt any ?ve of the following questions: 5 x 10 = 50
(a) Compute 8-point DFT of the sequence using radiX?2 decimation?in-frequency
algorithm:
X (n) = {1/2, 1/2, 1/2, 1/2, 0, 0, 0, 0}
(b) Determine the Z-transform W (z) of the Hanning window
1?cos
N?1
2
What is the effect of finite Register Length?
(c) Consider a causal IIR system with the system function
w(n) 2
1+ 2271+ 3271+ 2273
1+ 092?1 ? 0.82?2 + 0.52?3
Determine the equivalent lattice?ladder structure.
(d) Find the transposed direct form 11 realization of the system described by the difference
equation.
H(z) =
y(n) = 0.5y(n?1)? 0.25y(n?2) + x(n) ? 2x(n?1) + x(n-2)
(e) The desired response of a low pass filter is
Hd(ejw) = e'j3w; -7: /4 S W S 71: /4
= O ;1t/4
(1) Convert following analog filters into digital filters.
H(s) = (s+0.1)/((s+0.1)2 +9) using bilinear transformation.
The digital filter should have a resonant frequency of WFTE/4
(g) Drive conversion formula of digital filter from Analog filter by using Bilinear
Transformation method. Also establish relationship between frequencies in two
domains.
(h) How IIR filter Designing can be done by the use of following methods. Discuss each
methods-
(1) Approximation of Derivatives Method.
(ii) Impulse Invariance Method.
(iii) Bilinear Transformation Method.
SECTION ? C
Attempt any two of the following questions: 2 x 15 = 30
3 Determine the cascade and parallel realizations for the system described by the system
function
10[1?%z?1][1??z?1j(1+ 2:")
11(2) =
[1?3zl][l?lzl][l ?[1 +j1]21][1?[1?j1]21]
4 8 2 2 2 2
4 Develop cascade & parallel realization structure of following transfer function:
H(z)={z/6+5/24+5/24z +1/24z2}/{1?1/2z +1/4z2}
5 A low pass filter is to be designed with following desired frequency response
Hd(ejw) = e'j2W , n /4 S W S n /4
= O , Tc /4
W[n] = 1; 0 S n S 4
= 0; Otherwise
This post was last modified on 29 January 2020