New Formulas for Irregular Sampling of Two-Bands Signals

• 作者: Bernard Lacaze
• 来源期刊: 信号与信息处理(英文)
• 学科: 数学
• 关键词: STATIONARY PROCESSES IRREGULAR Sampling Two-Bands PROCESSES
• 年，卷（期）: 2011,（4）
• 页码范围: 253-256
• 页数: 4页
• 分类号: O1

摘要

Many sampling formulas are available for processes in baseband (-a,a) at the Nyquist rate a/π. However signals of telecommunications have power spectra which occupate two bands or more. We know that PNS (periodic non-uniform sampling) allow an errorless reconstruction at rate smaller than the Nyquist one. For instance PNS2 can be used in the two-bands case (-a,-b)∪(b,a) at the Landau rate (a-b)/π We prove a set of formulas which are available in cases more general than the PNS2. They take into account two sampling sequences which can be periodic or not and with same mean rate or not.