Justify/Contradict the following statements:-
1(a)
If the energy of the signal is finite its power is zero.
5 M
1(b)
Laplacian is better than gradient for detection of edges.
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1(c)
Walsh transform is nothing but sequence ordered Hadamard transform matrix.
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1(d)
All image compression technique are invertible.
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2(a)
Find the following sequence are periodic or not. If yes find the fundamental time period.
i)x1(n)=ej(?/4)n
ii) x2(n)= 3 sin(1/8)n
i)x1(n)=ej(?/4)n
ii) x2(n)= 3 sin(1/8)n
10 M
2(b)
Obtain linear convolution of two discrete time signals as below
x(n)=u(n)
h(n)=anu(n), a<1
Show that:
x(n)=u(n)
h(n)=anu(n), a<1
Show that:
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-006.png)
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3(a)
Find the cross correlation between given signal.
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-011.png)
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-011.png)
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3(b)
Find z-transformation of x(n) and draw its ROC
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-013.png)
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-013.png)
10 M
3(c)
Determine auto-correlation of following signal
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-016.png)
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-016.png)
5 M
4(a)
Using 4 point FET algorithm, calculate 2-D DFT of
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-018.png)
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-018.png)
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4(b)
Write 8x8 Hadamard transform matrix and its single flow graph. Using butterfly diagram compute Hadamard Transform for x(n)={1,2,3,4,1,2,1,2}
10 M
5(a)
Peform Histogram Equalization and draw new equalised histogram of the following imagedata.
![](https://stupidsid.com/paper%20solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-023.png)
![](https://stupidsid.com/paper%20solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-023.png)
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5(b)
What is image segmentation? Explain the following methods of image segmentation.
i) Region Growing
ii) Region Splitting
iii) Thresholding
i) Region Growing
ii) Region Splitting
iii) Thresholding
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6(a)
What are the different types of redundancies in digital image? Explain in detail.
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6(b)
For the 3 bit 4*4 size image perform following operation.
i) Threshold T=4
ii) Intensity level slicing with background r1=2 and r2=5
iii) Bit plane slicing for MSB and LSB planes
iv) Negation
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-034.png)
i) Threshold T=4
ii) Intensity level slicing with background r1=2 and r2=5
iii) Bit plane slicing for MSB and LSB planes
iv) Negation
![](https://stupidsid.com/paper solutions/CS-S7_hhy6vI7OfJ/DSIP_CEX01S2Sy8/D11_uEKSSaCt2l/CS-S7-DSIP-D11-v0G2tzprUq_pg-034.png)
10 M
Write short notes on (any four):-
7(a)
Discrete Cosine Transform
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7(b)
Wiener Filter
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7(c)
Difference between Low Pass and Median filter.
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7(d)
Hough Transform
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7(e)
Homomorphic filter
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7(f)
4,8,m connectivity of image pixels
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