A CMOS current-mode square-root circuit includes a square-root circuit configured to compensate for the errors due to the carrier mobility reduction by employing a plurality of MOSFETs in Translinear Loop (MTL). The plurality of MOSFETs are configured to operate in the strong inversion region. The CMOS current-mode square-root circuit is configured to receive an input current and a biasing current, and is further configured to produce an output current based on the input current and the biasing current. The output current based on the input current and the biasing current is described by a first square-root relation and a second square-root relation.
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