This is in C code

Carry out the following steps:

1. Read in an integer value for T. Sample the function f(t) above, at t = 0, 1, 2 . . . T and write the values to a file function.txt.

2. Read the values from the file, and place them in an array.

3. Write a function called convolution which takes two arrays as arguments, calculates their discrete convolution and prints out the resulting function in two columns: index and convolution. Print the output both to the screen and to a file called convolution.txt. Your function should only do the calculation for indices corresponding to non-zero values of the convolution. Assume both functions are only nonzero between 0 and T. (hint: the convolution will only be nonzero between 0 and 2T- make sure you understand why.)

4. Call your function with both functions f and g given by the same array from part 1.

f (t) -f+3: t e [o, T] 0: otherwise