%X We report the observation of 16 cosmic ray events with a mean energy of 1: 5 x 10(19) eV via radio pulses originating from the interaction of the cosmic ray air shower with the Antarctic geomagnetic field, a process known as geosynchrotron emission. We present measurements in the 300-900 MHz range, which are the first self-triggered, first ultrawide band, first far-field, and the highest energy sample of cosmic ray events collected with the radio technique. Their properties are inconsistent with current ground-based geosynchrotron models. The emission is 100% polarized in the plane perpendicular to the projected geomagnetic field. Fourteen events are seen to have a phase inversion due to reflection of the radio beam off the ice surface, and two additional events are seen directly from above the horizon. Based on a likelihood analysis, we estimate angular pointing precision of order 2 degrees for the event arrival directions. %O © 2010 The American Physical Society %K EXTENSIVE AIR SHOWERS, PULSES, EMISSION, SPECTRUM %N 15 %J PHYS REV LETT %I AMER PHYSICAL SOC %L discovery408812 %D 2010 %T Observation of Ultrahigh-Energy Cosmic Rays with the ANITA Balloon-Borne Radio Interferometer %A S Hoover %A J Nam %A PW Gorham %A E Grashorn %A P Allison %A SW Barwick %A JJ Beatty %A K Belov %A DZ Besson %A WR Binns %A C Chen %A P Chen %A JM Clem %A A Connolly %A PF Dowkontt %A MA DuVernois %A RC Field %A D Goldstein %A AG Vieregg %A C Hast %A MH Israel %A A Javaid %A J Kowalski %A JG Learned %A KM Liewer %A JT Link %A E Lusczek %A S Matsuno %A BC Mercurio %A C Miki %A P Miocinovic %A CJ Naudet %A J Ng %A RJ Nichol %A K Palladino %A K Reil %A A Romero-Wolf %A M Rosen %A L Ruckman %A D Saltzberg %A D Seckel %A GS Varner %A D Walz %A F Wu %V 105