Both Canon G11 and Panasonic LX7 have 1/1.7-inch sized 10.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the G11 and LX7 sensor size comparison.
Sensor Size and Resolution Comparison image of Canon G11 and Panasonic LX7 Cameras
Canon G11 and Panasonic LX7 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.
DxOMark Sensor Scores
DxOMark is a benchmark that scientifically assesses image quality of camera sensors. It scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Canon G11 and Panasonic LX7 sensors have been tested by DxO and the results show that LX7 has a better overall score of 50, 3 points higher compared to G11's score of 47.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Canon G11
47
20.4 bits
11.1 Evs
169 ISO
Panasonic LX7
50
20.7 bits
11.7 Evs
147 ISO
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 G11
or the
Panasonic LX7 ,
including hyperfocal distance.