A log-periodic dipole array system employs a structure for the transmitter and the receiver designed in a way such that they compensate for the non-linear characteristics of each other to realize linear phase characteristics as a pair. Radiation elements on the receiver are positioned with respect to its corresponding transmission line in an order opposite to the positioning of the radiation elements on the transmitter. Although neither the transmitter dipole array nor the receiver dipole array itself has linear phase characteristics, the overall dipole array antenna system can realize linear phase characteristic. The log-periodic dipole array system has the advantages that linear phase characteristics can be obtained without sacrificing high radiation efficiency and gain.