The present invention discloses a gain-boosted N-path SC bandpass filter (GB-BPF) with a number of sought features. It is based on a transconductance amplifier (G_m) with an N-path SC branch as its feedback network, offering 1) double RF filtering at the input and output of the G_m in one step; 2) customized passband gain and bandwidth with input-impedance match, and 3) reduced physical capacitance thanks to the loop gain offered by G_m. All have been examined using a RLC model of the SC branch before applying the linear periodically time-variant (LPTV) analysis to derive the R, L and C expressions and analytically study the harmonic selectivity, harmonic folding and noise. The latter reveals that: 1) the noise due to the switches is notched at the output, allowing smaller switches to save the LO power; and 2) the noises due to the source resistance and G_m are narrowband at the output, reducing the folded noise during harmonic mixing