# What is the convolution of an antipodal (that is alternating 1 and 0) pulse train with rectangular pulse of duration T in the time domain?

What is the convolution of an antipodal (that is alternating 1 and -1) pulse train with a rectangular pulse of duration T in the time domain? I am having trouble picturing this.

• Look up "square wave" and you'll find images to help you picture it. I'm going to go look up what convolution means other than the standard definition, but this looks like a homework question, which means there is a minimum standard of effort. Show your attempt at a solution. How would you solve a convolution problem for a DC voltage or for a sine wave or triangle wave?
– K H
Commented Feb 13, 2021 at 4:09
• Ok I had to look that up. If you check out the wikipedia article on convolution, they've provided visual examples. The convolution appears to be a formula for the overlapping area as you move one pulse shape past the other.
– K H
Commented Feb 13, 2021 at 4:30
– K H
Commented Feb 13, 2021 at 4:43
• Is the system continuous-time or discrete-time system? Please provide a clear, well drawn picture of both the signals. Pleas add all the things you have already tried out to find tbe answer.
– AJN
Commented Feb 13, 2021 at 8:57
• The answer strongly depends on the time gap between impulses and time duration of the rectangular pulse. If the impulses are spaced far apart in time/samples, the result is just a pulse train with same spacing. If not, the result is probably a mixture of staircases.
– AJN
Commented Feb 13, 2021 at 8:59