How can I inject factory into a filter?

Question

I have a factory called

app.factory('$translation', ['$http', function($http) {
    return {
       translate: function(input) { return input; }
    }
}]);

app.filter('translate', ['$translation', function($translation) {
    return function(input) {
        return $translation.translate(input);
    }
}]);

I keep getting:

Error: $injector:unpr
Unknown Provider $translation

How can I inject the factory into the filter?