为什么离散时间信号的频谱是周期的?"一个域的离散造成另一个域的周期延拓"---为什么？有没有直观的解释？Hi,安静的眸,I explain my intuitive understanding through an example as follows.Example:sin(t) is periodic function with period 2π and angular frequency ω=1.Its spectrum contains a single line at ω=1 and amplitude 1.Now the spectrum is not periodic.(To be continued)

为什么离散时间信号的频谱是周期的?
"一个域的离散造成另一个域的周期延拓"---为什么？
有没有直观的解释？
Hi,安静的眸,
I explain my intuitive understanding through an example as follows.
Example:sin(t) is periodic function with period 2π and angular frequency ω=1.Its spectrum contains a single line at ω=1 and amplitude 1.Now the spectrum is not periodic.
(To be continued)