Method and apparatus of an input resistance of a passive mixer to broaden the input matching bandwidth of a common source/gate LNA

A receiver apparatus, comprising:

• a Low Noise Amplifier (LNA) configured to amplify an input signal;
• a resonant circuit coupled to the LNA;
• a switched capacitance circuit configured to reduce a quality factor of the resonant circuit, the switched capacitance circuit comprising:
• a first switch coupling current from the resonant circuit to a first capacitor integrating a first voltage, the first switch enabled with a clock signal;
• and
• a second switch coupling current from the resonant circuit to a second capacitor integrating a second voltage, the second switch enabled with an inverse clock signal;
• and
• a differential amplifier comprising a positive input for receiving the first voltage and a negative input for receiving the second voltage, the differential amplifier providing a sum and a difference frequency spectrum between a signal spectrum carried within the current and a frequency of the clock signal.