Write and building a (Verilog) code that making a module of highpass filter [8:0] to filter any image using ISE . Then write the test bench code for the code .

Suppose we have an input image f(x,y) shown below. 0 1 2 3 4 2 2 2 2 2 2 4 5 6 7 0 1 2 3 4 0 0 1 5 7 Plese compute the gradient at point (2,3) (Write ansewer in the first blank) (2,4) (Write answer in the second blank) (3,3) (Write ansewer in the third blank) (3,4) (Write answer in the fourth blank) using Sobel Operator. gradient (x,y) =|Gx|+|Gyl.

The input is a 20×20 matrix and the filter (aka kernel) is a 5×5 matrix. We set stride = 1 and no zero-padding. What is the shape of the output matrix

Write code (In Octave) that computes the Taylor series expansion using a for loop, and use it to compute the value of the expansion from order 0 to order 4 of thefunction: (Image) At the value xi+1 =3 since xi=1, further calculate the true percentage relative erroret(%).