Panasonic LX7 has a 10.0MP 1/1.7 (7.44 x 5.58 mm ) sized CMOS sensor and features Venus Engine processor. On the other hand, Canon G16 has a 12.0MP 1/1.7" (7.44 x 5.58 mm ) sized BSI-CMOS sensor and features Digic 6 processor.
Below you can see the LX7 and G16 sensor size comparison.
Panasonic LX7 and Canon G16 have 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 Panasonic LX7 has 20% larger pixel area compared to Canon G16, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.