This paper investigates the problem of sampling and reconstructing bandpass signals using time encoding machine(TEM). It is shown that the sampling in principle is equivalent to periodic non-uniform sampling (PNS). 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.

翻译：本文研究了利用时间编码机(TEM)对带通信号进行采样与重构的问题。理论分析表明，该采样过程本质上等价于周期性非均匀采样(PNS)。据此，TEM参数可依据信号带宽和幅度进行设置，而非如带限/低通信号情况那样基于信号的上截止频率和幅度。对于单一信息频带的带通信号，若TEM参数设置使得每个通道中时间序列的任意相邻值之差受限于信号带宽的倒数，则信号可被完美重构。本文提出了一种结合PNS插值函数的重构方法。数值实验验证了所提TEM方案的可行性与有效性。