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This article propose a novel tunable active inductor for high gain-bandwidth LNA. Using this active inductor, a noise-cancelling LNA with gain-peak technique is designed for DRM/DAB receiver. Consequently, a broader -3dB bandwidth is substantially achieved from the LNA. By adding a regulated capacitance and a feedback resistance into a conventional active inductor, the quality-factor and the inductance can be increased. The tuning range is widened and the performances of the active inductor are insensitive for the PVT variations at the same time. The proposed circuit is verified with a 0.18-μm CMOS process, the post-simulation results demonstrate that the LNA has broader 3-dB bandwidth.