# Visualising Convolution in CT through Mathematica

The following code can be used to convolve signals x(t) and h(t) and plot them in an interactive way.

The blue curve represents the `convolved signal y(t)`

at t, while other two are x(t) and h(t). In this example `h(t) is the UnitStep Function`

. Therefore overall the system behaves as an `Accumulator`

.

My code is given below. You can do experiments by changing the `impulse response h(t)`

and visualising `y(t)`

which is the convolved signal. The animation shows the steps in convolution,

Flip ‣ Shift (about y axis) (`orange curve`

) ‣ Multiply ‣ Sum

Mathematica code : (click to open in full)

*you will need to download and run the code [ *.nb file ] because there may be issues running the code live on the browser. *

This code can be further modified to compute convolution in Discrete Time. If you're interested, please let me know in the comments below, and I'll write a separate article on it.

Next Steps. -> In discrete time