PCH, or Platform Controller Hub, refers to the motherboard chipset - in the case of the LGA1151, the Z170, H170, H110, B150, etc.
Each chipset has a finite number of PCIe lanes (the Z170 having the greatest number of course), and manufacturers are allowed to allocate a certain number of these available lanes to features they want to have on their motherboards, e.g network, USB 2.0 or USB 3.0, SATA, M.2, etc., whilst other PCIe lanes' usage are fixed by Intel. This allocation is the 'PCH PCI Express configuration'. A buyer/user cannot change the allocation except where the manufacturer provides some limited options in the BIOS.
Processor refers to the cpu, the central processing unit - Atom, Celeron, i3, i5, i7, Xeon. I am not familiar with AMD processors, but Intel has fixed the number of PCIe lanes available from their LGA115x processors at 16 and these are PCIe 3.0 lanes. An option is given to motherboard manufacturers to allocate these 16 PCIe 3.0 lanes from the processor to one or more PCIe slots that they provide on their motherboards. So if there are, say 2 PCIe x16 slots, and both are occupied, each slot will be auto-allocated 8 lanes. In looking at a manufacturer's tech specs, you will be able to see the allocation under 'Expansion Slots' in the manual, or summary specs. Descriptions like "x16/x8x8/x8x4x4" basically mean :
- if the first x16 slot is occupied (usually by the graphics card), and no other x16 slots are occupied, this device will receive all 16 PCIe 3.0 lanes from the cpu.
- if the first two x16 slots are occupied (eg. as in SLI or Crossfire setups), each slot will receive 8 PCIe 3.0 lanes from the cpu
- if all three x16 slots are occupied, the allocation is x8 to the first slot, x4 to the second, and x4 to the third (total = 16 PCIe 3.0 lanes).
A table of this allocation may also be provided to illustrate the allocation available to that motherboard as decided by the manufacturer.
Sometimes, in the BIOS, the manufacturer may allow the user to change the default number of lanes allocated to the 2nd, 3rd and/or 4th x16 slots. But, whatever the change, there can never be more than 16 PCIe lanes available from the LGA 115x range of processors. As a footnote, the LGA 2011-3 range of cpus have more lanes than 16, but you pay more for this luxury.
Hope that clears it up for you.