In a blender or food processor, puree the berries, lemon juice and lemon zest. Set aside.
In a small saucepot, bring sucralose, water, and salt to a boil. Reduce heat to a simmer and cook for 5 minutes or until slightly thickened. Add syrup to berry mixture. Place in ice cream machine and churn according to manufacturer's directions.
Recipe courtesy of Kathleen Daelemans