JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY, ANANTAPUR.
Ananthapuramu-515 002(A.P)Ph.D/M.Phil 2013-14 Course work-
Assignments
Faculty: ECE Subject with Code: Concepts of Signal & Image
Processing (09PH04104)Unit-I Assignment-11.(a) The discrete-time
signal x(n) = 6.35cos(/10)n is quantized with a resolution (i) =
0.1 or (ii) = 0.02. How many bits are required in the A/D converter
in each case? (b) A discrete-time system can be (i) Static or
dynamic (ii) Linear or nonlinear (iii) Time invariant or time
varying (iv) Causal or noncausal (v) Stable or unstableExamine the
following system with input output relation into above classes y(n)
= Cos [x(n)]2. (a) Determine the response of the (relaxed) system
characterized by the impulse response h(n) = ( 1/2 )n u{n) to the
input signals (i) x(n) = 2nu(n) (ii) x(n) = u ( - n ) (b) A signal
x(n) has the following Fourier transform X() = 1/( 1 a e-j )
Determine the Fourier transform of (i) x(2n + 1) (ii) x(-2n) 3.(a)
Determine the magnitude and phase response of the multipath channel
y(n) = x (n) + x(n M) At what frequencies does H() = 0? (b)
Consider the following discrete system y(n) = 0.9y(n - 1) + b x(n)
(i) Determine b so that |H (0)| = 1. (ii) Determine the frequency
at which |H ()| = l.414
Unit-II Assignment-21. (a) Find the Z transform and sketch ROC
of (i) x(n) = (1/4)n n 0 = (1/2)-n n < 0 (ii) y(n) =(1/3)n 2n n
0 = 0 n < 0
(b) Determine all possible signals associated with following z
-transform X(z) = 5 z-1 /(1 2 z-1) (3 z-1)2.(a) Determine the
N-point D FT of the Blackman window w(n) = 0.42 0.5 cos(2n/N-1)
-0.08 cos(4n/N-1) 0 < n < N 1 (b) Perform the circular
convolution of the following two sequences: x1(n) = {2,1,2, 1}
x2(n) = {1,2,3,4} Also verify the result using DFT method3. (a)
Derive the signal flow graph for the N = 16 point, radix-4
decimation-in-frequency FFT algorithm in which the input sequence
is in digit-reversed order and the output DFT is in normal order.
(b) Create a DFT coefficient table that uses only N/4 memory
locations to store the first quadrant of the sine sequence (assume
N even).
Unit-III Assignment-3 IIR Filters1.(a) Sketch the lattice-ladder
structure for the system H(z) = (1 0.8 z-1 - 0.15 z-2) /(1 0.1 z-1
- 0.72 z-2) (b) Consider a causal IIR system with system function
and realize it in all possible forms
H(z) = (1 + 2 z-1 + 3 z-2 + 2 z-3 ) /(1 + 0.9 z-1 0.8 z-2 + 0.5
z-3 ) 2. A digital low-pass filter is required to meet the
following specifications: Pass band ripple: < 1 dB Pass band
edge: 4 kHz Stop band attenuation: > 40 dB Stop band edge: 6 kHz
Sample rate: 24 kHz The filter is to be designed by performing a
bilinear transformation on an analogsystem function. Determine
Butterworth and Chebyshev analog transfer functions so as to meet
the specifications in the digital implementation.3. Determine the
system function H(z) of the lowest-order Chebyshev digital filter
thatmeets the following specifications:(a) 1/2-d B ripple in the
pass band 0 < || < 0.24.(b) At least 50-dB attenuation in the
stop band 0.35 < || < . Use the bilineartransformation.
Unit-IV Assignment-4 FIR Filters1. Design an FIR linear phase,
digital filter approximating the ideal frequency response Hd() = 1
for || /6 = 0 for /6 < || (i) Determine the coefficients of a
25-tap filter based on the window method with a Hanning window.(ii)
Determine and plot the magnitude and phase response of the
filter.(iii) Also realize designed filter2. Design band stop filter
having frequency response Hd() = 1 for || /6 = 0 for /6 < || /3
= 1 for /3 || (i) Determine the coefficients of a 25-tap filter
based on the window method with a Hamming window.(ii) Determine and
plot the magnitude and phase response of the filter.(iii) Also
realize designed filter3. Obtain the frequency responses of
different windowing functions and compare their Performances
Unit-V Assignment-5 Applications of Digital Signal Processing1.
Discuss the need for radar signal processing and explain detail2.
Describe the various issues involved in spectral analysis of
non-stationary signals3. Explain the sub band coding of speech
signals using necessary block diagram
Unit-VI Assignment-6 Digital Image Fundamentals1. Discuss the
following concepts w.r.t image digitization (i) Sampling (Uniform
& Non Uniform) (ii) Quantisation (iii) HVS (iv)Resolution2.
Discuss about different relationships between pixels3. Explain
following Image transformations (i) Translation (ii) Scaling (iii)
RotationAlso derive transformation matrices for above
operationsUnit-VII Assignment-7- Image Transforms1 (a) State and
prove folding property of 2D DFT. (b) For image matrix given, find
DCT
1 2 1 1 f(x,y) = 2 2 1 3 1 3 1 2 3 2 1 22.(a) Obtain the
Hadamard matrix of order N = 8 and its inverse. (b) Perform KL
transform for following matrix A = 2 -2 - 3 1 3. (a) Generate Haar
basis for N = 4 (b) Find Walsh transform basis for N = 4
Unit-VIII Assignment-8Colour Image Processing1.Discuss following
Colour models(i) HIS (ii) YIQ (iii)CMY2. (a) Explain the
classification colour image quantization techniques (b)Describe
about colour image histogram equilization3. Perform the gamma
correction on following image with gamma value of 0.6
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