Time Encoding Sampling of Bandpass Signals

This paper investigates the problem of sampling and reconstructing bandpass signals using two-channel time encoding machine (TEM). It is shown that the sampling in principle is equivalent to periodic non-uniform sampling (PNS) with time-varying shifts. Then the TEM parameters can be set according to the signal bandwidth and amplitude instead of upper-edge frequency and amplitude as in the case of bandlimited/lowpass signals. For a bandpass signal of a single information band, it can be perfectly reconstructed if the TEM parameters are such that the difference between any consecutive values of the time sequence in each channel is bounded by the inverse of the signal bandwidth. A reconstruction method incorporating the interpolation functions of PNS is proposed. Numerical experiments validate the feasibility and effectiveness of the proposed TEM scheme.