Signal Arrays Can Require Digital Filtering - Engineering Assignment Help

Assignment Task

Problem 
 

Image and signal arrays can require digital filtering. One filtering method is to identify an element in the array, find the median of it and its surrounding elements, and then replace the element with the median value.

For example: 
 

Replace the element in the second row, second column with the median of it and the 8 values surrounding it: 
1 8 1 3 4 7 8 6 2 5 10 6 0 1 2 8 9 4 6 0 2 8 6 6 
Y22 = median(1, 8, 1, 7, 9, 8, 5, 10, 6) Y2,2 = 7 
1 8 1 3 4 7 8 6 2 5 10 6 0 1 2 8 9 4 6 0 2 8 6 6 
 

Then repeat this for the next element in the array. For this example, we will move one element to the right (to the next horizontal element): 
1 8 1 3 4 7 7 8 6 2 5 10 6 0 1 2 8 9 4 6 0 2 8 6 6 
y2,3 = median(8, 1, 3, 7, 8, 6 10, 6, 0) Y2,3 = 6 
1 8 1 3 4 7 7 6 2 5 10 6 0 1 2 8 9 4 6 0 2 8 6 6 
 

Notice that the calculation used the median value of y22 calculated in example 1 to find the new value for y23 . Continue this process until all elements inside the border rows and columns have had the filter applied. This type of filter can start at any corner of the matrix but must start one row and one column from the border (at y2,2) 31421 y24) or 3144 in the example matrix). This filter cannot change any element that is on the border rows or columns of the array. Using the same type of median filter described, create a function that meets the following criteria:

• Accepts no input arguments or output arguments • Imports the pixel values from Data_pixels.csv using built-in function. Do not hardcode the data values.

• Using the imported data, applies three different median filters using three different starting points. All filters must start from the original data matrix. Do not overwrite the original data array.

1), move right to left from bottom to top, and end at index (2,2) o Filter 3: start at index (2,2), move top to bottom from left to right, and end at index (last row - 1, last column - 1)

• Display the original data array and the three different filtered arrays on a 2x2 subplot grid with this layout: 

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