A discussion of second order sampling for bandpass signal

Kohlenberg´s second order sampling allows a bandpass signal to be sampled at the theoretical minimum rate of 2 times the bandwidth. The theoretical minimum sampling rate is impractical in the sense that any engineering imperfections in the implementation will cause aliasing. In this paper, second order sampling at above the theoretical minimum rate is studied, a guard-band will be included between the positions of the shifted spectrum components. Finally a simplified reconstruction formula for second order sampling is derived, and comparisons to Kohlenberg´s second order sampling and uniform bandpass sampling theorem are also given in this paper