Both Canon IXUS 165 and Sony W810 have 20.0 MP resolution sensors but Canon IXUS 165's sensor is 1/2.3' (6.17 x 4.55 mm ) and Sony W810's sensor is 1/2.3-inch (6.17 x 4.55 mm ).
Since Sony W810'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 Canon IXUS 165.
Below you can see the IXUS 165 and W810 sensor size comparison.
Sensor Size and Resolution Comparison image of Canon IXUS 165 and Sony W810 Cameras
Canon IXUS 165 and Sony W810 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.
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
Canon IXUS 165
or the
Sony W810 ,
including hyperfocal distance.
One thing to watch when comparing these two: they have different sensor sizes
(1/2.3' 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.