Step 1Combine the sugar, cardamom and ginger in a heavy saucepan. Add 1 1/2 cups water and bring to a boil, stirring until the sugar dissolves. Lower the heat to a simmer. Add the cranberries and cook, stirring occasionally, until they all pop, then simmer 5 minutes.
Step 2Remove from the heat. Strain into a bowl through a fine mesh sieve, pressing down to extract all the liquid, then discarding the solids. Stir in the maple syrup and lime juice. Cool completely.
Step 3Add about 2 tablespoons to a flute and pour sparkling wine, cider or club soda over. (Or top off each of those drinks with the syrup.)