This thesis proposes a modified inductively degenerated common-emitter low-noise amplifier. To add a series-shunt feedback capacitance in series to the base of the cascode transistor for increasing the load impedance of the common-emitter transistor and enhancing the Miller effect, it is applied to improve the circuit¡¦s performance. By thoroughly studying the Miller effect for the input matching, noise, and linearity analysis and derivation of the modified structure, the theoretical analysis and experiments demonstrate the improved linearity and well noise performance. In addition, the proposed method is presented with the good figure of merit. The proposed method is presented in a hybrid circuit with the NEC 2S5010 NPN transistor for 900 MHz applications. It demonstrates that this method improves the linearity and the figure of merit has been increased by 50 to 70 percent. Moreover, the novel low noise amplifier is designed with a 0.35£gm SiGe BiCMOS process supported by the TSMC for 5.7 GHz WLAN band applications. It is found that the circuit has the characteristic of IM3 nonlinearity cancellation because the cascode transistor eliminates the third-order intermodulation genaerated by the common-emitter transistor. This thesis establishes a realizable method for high-linearity low-noise amplifier.