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In this problem, you will analyze and implement a simple low pass filter given by the 9 times 9 point spread function h (

In this problem, you will analyze and implement a simple low pass filter given by the 9\times 9
point spread function
h(m, n)=(
1/81 for |m|<=4 and |n|<=4
0 otherwise .
1. Calculate an analytical expression for H(e
j, ej
u ), the DSFT of h(m, n), and use
Pythons matplotlib to plot the magnitude of the frequency response |H(e
j, ej
u )|.
Make sure to label the axes properly and plot on over the region [\pi ,\pi ]\times [\pi ,\pi ].
2. Download the bundle C-code.zip containing the C source code for reading and writing
tagged image file format (TIFF) images. Compile the application Example using an
ANSI C compiler.
3. Run the program Example on the image img03.tif by using the command
Example img03.tif
This will produce the gray scale image green.tif, which is derived from the green component of img03.tif.

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