Novel Sampling and Reconstruction Method for Non-Bandlimited Impulse Signals

摘要

To sample non-bandlimited impulse signals, an extremely high-sampling rate analog-to-digital converters (ADC) is required. Such an ADC is very difficult to be implemented with present semi-conductor technology. In this paper, a novel sampling and reconstruction method for impulse signals is proposed. The required sampling rate of the proposed method is close to the signal innovation rate, which is much lower than the Nyquist rate in conventional Shannon sampling theory. Analysis and simulation results show that the proposed method can achieve very good reconstruction performance in the presence of noise.