Design of Pi impedance matching networks

The Q-based method of Π impedance matching network design is studied systematically. A more practical definition of the loaded quality factor Q than that used hitherto is adopted. Designable conditions and design formulas based on the loaded Q are analytically demonstrated. Accurate explicit expressions of network frequency responses and harmonic rejection in term of the loaded Q are established and a method of determining the loaded Q for the required harmonic attenuation is developed. We also formulate all tolerance and parasitic sensitivities and their relations to the loaded Q.