Finite aperture time effects in sampling circuit

This paper presents analysis of sampling circuit for high-frequency and high-precision waveform acquisition. We have analyzed effects finite aperture time, and we have shown derived formula for the bandwidth limitation due to its low-pass filter effects. We have checked that our theoretical calculation and SPICE simulation results agree well. We also have focused on the trade-off among bandwidth, aperture time, and time constant, and we have derived their relationships as an extension of the uncertainty relationship between time and frequency; we believe that such analyses would be new in circuit design area.