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Preheat the oven to 350 F. Grease and flour (or use a grease/flour combo spray such as Baker's Joy) a 9 inch round cake pan. Set aside.
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Whisk together the flour, sugar, baking powder, baking soda, cardamom and salt. Set aside.
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Whisk together the yogurt, sour cream, oil, eggs and vanilla. Pour over the flour mixture and gently mix until just evenly moistened.
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Scrape the batter into the prepared cake pan and smooth the top. Bake until the top of the cake is golden and a toothpick inserted into the center of the cake comes out clean or with only a few crumbs attached, about 40 minutes.
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Let the cake cool in the pan for 5 minutes, and then turn out onto a plate. Flip the cake onto a cooling rack lined with wax paper so that the golden top of the cake is again the top. Let cool completely before slicing. Serve with confectioners' sugar or whipped cream.