Wheeler was born in Saint Paul, Minnesota, to William Archibald Wheeler and Harriet Marie Alden Wheeler, graduated in 1925 from George Washington University with a Bachelor of Science degree in physics and was awarded the Ruggles Prize for excellence in Mathematics. Subsequently he studied physics at Johns Hopkins University until 1928. During his education he worked part-time at the National Bureau of Standards' Radio Laboratory, then from 1922 onwards with Prof. Louis Alan Hazeltine at Stevens Institute of Technology after discovering that they had independently invented the Neutrodyne receiver. In 1924 he became Hazeltine Corporation's first employee, and in 1925 created the first radio receiver with a diode automatic volume control that maintained a constant sound level while tuning to broadcasts of differing strengths. AM radio receivers incorporating this circuit came into use about 1930, and it has been included in every set since. He led the Hazeltine laboratory 1930-1939, and during this time received patents for 126 inventions on a wide range of work including circuits, test equipment, acoustics, antennas, transmission lines, methods of calculation for inductance of coils, skin effect, coupled circuit theory, television scanning theory, and analysis and design of wide-band TV amplifiers. In World War II Wheeler led work on Identification friend or foe antennas for aircraft, surface vessels, submarines, and ground stations. By war's end, these "lifesaver antennas" had been placed on all Allied ships. In 1946 he founded Wheeler Laboratories, Inc., to develop microwave circuits and antennas for missile systems tracking and guidance radar. In 1959, when it became a Hazeltine subsidiary, he was named a Hazeltine director and vice-president. All told, Wheeler held 180 United States patents and received over fifty awards. He was a member of the National Academy of Engineering, a Fellow of the Institute of Radio Engineers and of the American Institute of Electrical Engineers, and awarded the IEEE Morris N. Liebmann Memorial Award in 1940 "for his contribution to the analysis of wide-band high-frequency circuits particularly suitable for television", and the IEEE Medal of Honor in 1964 "for his analyses of the fundamental limitations on the resolution in television systems and on wideband amplifiers, and for his basic contributions to the theory and development of antennas, microwave elements, circuits, and receivers." He was also a member of Sigma Xi, Tau Beta Pi, and the Defense Science Board.