Abstract: The invention relates to a wall flow filter for removing particulate matter from the exhaust of internal combustion engines, comprising a wall flow filter substrate having a length L, and different coatings Z and F, the wall flow filter substrate being provided with channels E and A which run parallel between a first end and a second end of the wall flow filter substrate, are separated by porous walls, and form surfaces OE and OA, respectively; channels E are closed at the second end, and channels A are closed at the first end; coating Z is disposed in the porous walls and/or on surfaces OA, but not on surfaces OE, and contains palladium and/or rhodium and a cerium/zirconium mixed oxide; coating F is disposed mainly on surfaces OE, but not on surfaces OA, and comprises a membrane and no precious metal. The wall flow filter is characterized in that the mass ratio of coating Z to coating F ranges from 0.1 to 25.