^This^. The sensing elements and electronics on the earlier digital cameras didn't have the speed (at an affordable cost) to match the mechanical shutter speeds so the best compromise was to use a digital array to essentially just substitute for the film. There was a marketing advantage in doing this as it helped long time film camera users get comfortable with digital cameras since not much changed for them. They just offloaded their photos instead of developing the film.
Most current cameras allow setting of f stops and aperture electronically, the digital sensing arrays have gotten much denser (higher pixel count), faster and cheaper, and the difference between a "digital" camera and a DSLR is going away rapidly.
The next generation of affordable digital cameras may even be able to do light filtering electronically.
Short story, if your camera is taking high quality photos and you like the result, don't sweat if it's an official "DSLR" or not.
'96 328iC "Marie"
R.I.P 14 November 2013