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Simultaneous omnidirectional Doppler shift removal may be accomplished by using a frequency-scanned line source antenna aligned in the direction of net motion. A progressive phase shift along the antenna, which varies linearly with frequency, is required to match the Doppler variation with angle. Simultaneous omnidirectional radiation is accomplished by transmitting bandlimited white noise into the antenna. The resulting antenna system is isotropic, frequency-independent, and radiates a narrow-band signal, as observed by a distant receiver.