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星座图 (数字通信) - Wikipedia

星座图 (数字通信)

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数字通信领域中,经常将数字信号复平面上表示,以直观的表示信号以及信号之间的关系。这种图示就是星座图

数字信号之所以能够用复平面上的点表示,是因为数字信号本身有着复数的表达形式。虽然信号一般都需要调制到较高频率载波上传输,但是最终的检测依然是在基带上进行。因此已经调制的带通数字信号s(t)可以用其等效低通形式sl(t)表示。一般来说,等效低通信号是复数,即

s_l \left( t \right) = x(t) + j y(t)

带通信号s(t)可以通过将sl(t)乘上载波再取实部得到:

s(t) = Re [s_l (t) e^{j2 \pi  f_c t}]

s\left( t \right) = x(t) \cos {2 \pi f_c t} - j y(t) \sin {2 \pi f_c t}

因此sl(t)的实部x(t)可以被看作是对余弦信号的幅度调制sl(t)的虚部 y(t) 可以被看作是对正弦信号的幅度调制。sin2πtcos2πt正交,因此x(t)和y(t)是s(t)上相互正交的分量。通常又将前者称作同相分量(In-phase component),后者称为正交分量(Quadrature component)。zh:Konstellationsdiagramm

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