Inverter-based low-noise amplifier (LNA) offers an elegant solution in terms of power and area efficiency, which is favorable for ultrasound receivers. Nevertheless, it imposes challenges on circuit designs regarding the biasing circuit, the limited gain, robustness over process, supply voltage and temperature (PVT) variations. This paper presents an in-depth study of various inverter-based LNAs for ultrasound receiver design. In addition, three fully differential inverter-based LNAs are designed and optimized with minimum power and area penalty in the common-mode feedback (CMFB) circuit. The LNAs are implemented in a standard 0.18 - $\mu m$ CMOS process, with the identical power consumption, simulation results show that LNA with single CMFB achieves lower distortion, i.e. a third harmonic distortion (HD3) of $\lt -51.5$ dB with 35 mVp-p input, LNA with dual CMFB obtains better noise performance, i.e. $4.85 nV / \sqrt{Hz}$ at 3 MHz.