Convert Raster PNG Image to a Scallable Vector Graphic (SVG)

I have a background image for a webpage that is in PNG format and is over 300 KB. I need someone to recreate this image as a vector graphic using whatever tool they wish (Illustrator, Raven, etc...) to shrink down the size. I would prefer that the vector format be SVG but am open to other options. The key is to match this original black and white image exactly. The black and white smudges do not have to be in the exact same place as long as they are proportional to the original image. It also needs to have the same "soft" focus as the original.