Sampling Narrow Frequency Bands

Bandpass sampling is a signal processing method for signals whose energy is concentrated in a narrow frequency band. Such a signal is called a bandpass signal. The method works when the sampling rate is greater than twice the signal bandwidth, which helps prevent aliasing.

A bandpass signal has a...

考虑一个采样率高于其最高频率两倍的信号。

大部分能量集中在较窄频率范围内的信号称为带通信号。对这类信号进行采样的技术称为带通采样。

信号的频谱具有一个下限频率，  ω₁, ​该频率大于其带宽。

在定义的低频和高频波段内，该谱图非零。

将时域信号乘以一个脉冲序列可产生采样信号。

通过对信号的频谱与脉冲串频谱在 2​π. 范围内进行卷积，得到采样信号的频谱。

这种卷积导致信号频谱以 2π/T 为周期周期性重复。

随着 T 增大，重复谱...