Anna Jordan Huff was raised near Tacoma, Washington, where she went to high school. Early on she developed an interest in music, becoming an avid fan of artists such as Joni Mitchell and Leonard Cohen. She was particularly influenced by "Total Eclipse" by Klaus Nomi, a track from the 1981 new wave soundtrack Urgh! A Music War. While a student she took part in a number of choirs and musical productions, and also spent time around the local folk music scene.
Huff began her musical career in the late 1990s with the novelty synthpop group the Space Ballerinas, based in Olympia. She handled vocals and keyboards, as well as helping write their original material. Making their debut as a trio at Ladyfest Olympia, the group released two EPs on Yoyo Records entitled "Diamonds" and "If Goth Was Pink" and opened a show for Peaches before disbanding in 2001. Also around this time she contributed to albums by local artists such as The Blow, Phil Elverum, Mirah, and Karl Blau.
"This Is an Exercise [is] just as fascinating as it is chilly and alienating. In her songs, Oxygen explores some of the same issues of authenticity, creation, and consumption that Tracy + the Plastics do, but with a sci-fi/fantasy bent."
After releasing the single "45 Meet Jennifer," Huff released her second album This Is an Exercise on the Kill Rock Stars label on February 21, 2006. As Anna Oxygen, she composed the album herself, handling primary vocals and sequencing. It featured guest artists such as Kitty Jensen and Mirah Yom Tov Zeitlyn as vocalists. Portland artist Jona Bechtolt helped Huff with the cover art. With mostly original music, the album also includes a cover of "Willow's Song" by American composer Paul Giovanni The album was met with a largely positive reception. The Phoenix New Times wrote that Huff's vocal stylings were "a perfect contrast to the rhythmically ebullient programmed synths and beats supporting them - backdrops coursing, playful, robotic, and pop basic." In 2007, as Anna Oxygen she released a single on the "Play, Kids Compilation" on Desoto Records.
While attending CalArts in Los Angeles, California as a graduate student in 2007, Huff formed Cloud Eye Control with fellow students Miwa Matreyek and Chi-wang Yang. Cloud-Eye Control is an experimental theater group, with Huff handling composition, co-creation and serving as a primary performer. In 2009 the group completed and performed the multimedia performance art piece entitled Under Polaris, first performed in Portland, Oregon and hosted by the Portland Institute of Contemporary Art (PICA).Under Polaris sold out a five-day run at REDCAT in Los Angeles, and was featured at the 2009 National Performers Network conference in Knoxville, Tennessee. In 2010 the show traveled to the Exit Festival in Paris, and the Fusebox Festival in Austin, Texas. The Los Angeles Times called the show "retro-futuristic" and "a transcendently spectacular piece of theater."
Huff continues to be a member of the group Day/Moon, which is a psychedelic folk group she founded with long-term collaborator Tamala Poljak, of the Los Angeles group Longstocking. The group has also collaborated with Tara Jane O'Neill. Huff has worked with other artists such as Eric Lindley, Becky Stark, David Scott Stone and many others in the Los Angeles scene, and was a member of the Los Angeles Ladies Choir. She has collaborated with Jack Black’s wife Tanya Haden on art, music and puppet shows, and can be seen alongside Black and Kyle Gass of Tenacious D, promoting their Festival Supreme in a series of shorts directed by Liam Lynch.