Preheat the smoker to 225 degrees F.
In a medium bowl combine the paprika, thyme, salt, pepper, onion powder, garlic powder, and ancho chili powder.
Whisk until well combined and set aside.
Rinse and pat dry the tilapia filets and add to a baking sheet or aluminum foil.
Brush each tilapia filet with olive oil and sprinkle with the blackening seasoning.
Rub in the seasonings and repeat on each side of the filet.
Transfer the pan out to the smoker and place on the grate. Close the lid and let smoke for about 30 minutes.
In a small pan combine the butter, capers, lemon juice, and garlic.
Add the dish to the smoker with the fish.
Continue to smoke until the internal temperature of the fish reaches 145 degrees F (about 1 hour and 15 minutes total).
Once the fish is cooked and the butter is melted, whisk the sauce to combine the ingredients.
Serve warm with the sauce and enjoy.