FujiFilm S1600 has a
12.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor . On the other hand, Olympus VR-340 has a
16.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor .
Below you can see the S1600 and VR-340 sensor size comparison.
Sensor Size and Resolution Comparison image of FujiFilm S1600 and Olympus VR-340 Cameras
FujiFilm S1600 and Olympus VR-340 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture. On the other hand, since FujiFilm S1600 has 32% larger pixel area compared to Olympus VR-340, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
FujiFilm S1600
or the
Olympus VR-340 ,
including hyperfocal distance.