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Channel state information is information about the current value of H, a mathematical value which represents a signal channel. It forms part of the signal model in Telecommunications, the full equation of which is

 R_t = H_t \cdot X_t + N_t

where Rt is the received signal, Xt is the transmitted signal, Nt is the noise, and Ht is the communication channel. The values Rt, Xt, Nt, Ht are usually not constant which is indicated by the index t. Especially, Ht is fast varying in wireless channels, relative to wireless channels. The system usually needs to have some information regarding Ht to figure out what was sent from the transmitter or to enhance system performance, such as increasing transmission speed. The information can be the current value of Ht, or the covariance of Ht. This type of information is generally referred as channel state information (CSI) and is usually estimated.

[edit] Channel State Information in Wireless Communications

In wireless communications, Ht is fast varying relative to wireless channels. Also, the current value of Ht is referred as short-term CSI, while the higher order statistics of H are referred as long-term CSI.

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