The Westdeutscher Rundfunk ( WDR , official `` Westdeutscher Rundfunk KÃ ln '' ) is a German public-broadcasting institution based in the Federal State of North Rhine-Westphalia with its main office in Cologne . Westdeutscher Rundfunk ( WDR , West German Broadcasting ) is a German public-broadcasting institution based in the Federal State of North Rhine-Westphalia with its main office in Cologne .