Convolution integral steps

1. How does the convolution integral work?
2. What is the process of convolution?
3. What is the integral of a step function?

How does the convolution integral work?

A more common way to interpret the convolution integral is that the output represents a weighted sum of the present and past input values. We can see this if we write the integral in terms of a sum (and assume here that the system is discretized by a single unit of time): y(t) = x(0)h(t) + x(1)h(t-1) + x(2)h(t-2) + …

What is the process of convolution?

Convolution is a mathematical way of combining two signals to form a third signal. It is the single most important technique in Digital Signal Processing. Using the strategy of impulse decomposition, systems are described by a signal called the impulse response.

What is the integral of a step function?

A step function can take only a finite number of values. Piecewise linear function is the definite integral of a step function.