This paper describes that the compensation of frequency dependent attenuation (F.D.A.) and faithful envelope detection using the analytic signal magnitude (A.S.M.) improve the range resolut ion in an acoustic medium. It is shown that a mean of computing the magnitude of. analytic signal is better than that of conventional A-mode. In addition, this proposed method is much easier than the above methods to detect two closely spaced interfaces on the A-mode. As the result of experiment, we obtained range resolution of 0.5 mm with transducer of 3.5 MHz. This method can be applied to medical experiment, diagonostic and nondestructive testing.