Both Sony HX1 and Sony H50 have 9.0 MP resolution sensors but Sony HX1's sensor is 1/2.4-inch (6.104 x 4.578 mm ) and Sony H50's sensor is 1/2.3-inch (6.17 x 4.55 mm ).
Since Sony H50's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Sony HX1.
Below you can see the HX1 and H50 sensor size comparison.
Sensor Size and Resolution Comparison image of Sony HX1 and Sony H50 Cameras
Sony HX1 and Sony H50 have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
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
Sony HX1
or the
Sony H50 ,
including hyperfocal distance.
One thing to watch when comparing these two: they have different sensor sizes
(1/2.4-inch versus 1/2.3-inch),
so compare them at the same framing rather than the same focal length.
Put the same focal length on the smaller sensor and it will show less depth of
field, not more, because it also crops tighter. The calculator shows the
full frame equivalent focal length for each body so you can match the framing.