No, it's not a woodwind, it's a contrabass valve trombone, sort of. The player is Mattis Cederberg, who plays with the great WDR big band in Germany. The chart is nice, the band is amazing, and Mattis is fantastic. Don't miss this clip!
http://www.youtube.com/watch?v=hPJc5AksAXU
http://www.youtube.com/watch?v=hPJc5AksAXU