👉 In mathematics, a convolution is a mathematical operation that takes two functions and produces another function. It's used in the field of signal processing to combine signals or data from different sources into a single output.
For example, consider two functions f(x) and g(x), which are both defined on the same interval [a, b]. The convolution between these two functions is given by:
f(x)
g(x)
This means that if we multiply together the signal f(x) and its derivative g