Another note to add is that real cameras (Canon, Nikon, etc.) indeed have a built in low pass - anti aliasing filter. Here's a bit more explanation on that and an image which shows what happens if you actually remove the low-pass filter.

Also an interesting note that Nikon actually makes some cameras that purposefully remove the anti-aliasing filter to get sharper images for landscape photographers.

Thanks @sagoyal for the note, here's a link to explain what exactly is the optical low pass filter in the camera you mentioned: https://www.nikonimgsupport.com/eu/BV_article?articleNo=000006377&configured=1&lang=en_GB. In short, it's a set of optical lenses that can split the light in front of the sensor.