How to replace black borders with picture

Alrod360

Proud leader of VideoGameAddictz!
I've seen lots of YouTube videos that have, instead of black borders, a picture on the sides. The game I am trying to record on has a portrait dimension to where when I render the finished product, it has black borders on the sides. Does anybody know how to change the black borders into something else?
 
You can always stretch the footage too. It doesn't look bad majority of the time.

What's your software?
 
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