Combine all ingredients except salmon and oil in a bowl.
Brush each fillet (on both sides) with 1 teaspoon oil. Press spice mixture on skinless side of salmon. Let stand 15 minutes.
Place salmon skin side up on grill grate. Cover and cook 3 minutes. Flip and cook, skin side down, 5 minutes more or until done. (or on a rack of a broiler pan. Cook under broiler 3 minutes and turn fish skin side down and continue cooking until done.)