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I need a C code that follows steps 1-4 especially number 3 Discrete Convolution The convolution operation is frequently used in many areas of engineering

I need a C code that follows steps 1-4 especially number 3

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Discrete Convolution The convolution operation is frequently used in many areas of engineering and physics It can be used to determine the response of a linear system to a general excitation; ie the driving force in an inhomogeneous linear differential equation. It is a basic tool of signal processing in electrical engineering The convolution integral of two functions ft) and g(t) is given by (f g)(t)f(T)g(t -)dr An equivalent operation can be defined for discrete (as opposed to continuous) functions If either function is only non-zero over a limited domain, then the integral sum is effectively limited to values of t or m where the product of the functions in non-zero A continuous function f(t) can be sampled at regular time intervals to generate a corresponding discrete function. In this assignment you will be asked to sample a continuous function at regular intervals and convolve the function with itself Consider the function: f(t) _ {t + 3: -0: otherwise t E [0, T] 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

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