diff --git a/src/darsia/signals/models/linearmodel.py b/src/darsia/signals/models/linearmodel.py
index 63809aa3..60367c6c 100644
--- a/src/darsia/signals/models/linearmodel.py
+++ b/src/darsia/signals/models/linearmodel.py
@@ -71,7 +71,10 @@ def __call__(self, img: np.ndarray) -> np.ndarray:
             np.ndarray: converted signal
 
         """
-        return self._scaling * img
+        if np.isclose(self._scaling, 1.0):
+            return img
+        else:
+            return self._scaling * img
 
 
 class LinearModel(darsia.Model):