Channel equalization method and communication system thereof based on precoding
A technology of channel equalization and precoding, which is applied in the field of communication systems based on precoding, and can solve the problems that the effective signal-to-noise ratio of data cannot meet the requirements, the system performance is low, and the system performance is dragged down.
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Embodiment 1
[0082] This embodiment is a single carrier implementation manner of the present invention. The specific process of signal processing is as follows:
[0083] Step S100, perform geometric mean decomposition according to the extended channel matrix H of the original channel matrix H, and obtain an upper triangular matrix R, a unitary matrix P, and a unitary matrix Q. According to mathematics related literature, the geometric mean decomposition of matrix is also called GMD (Geometry Mean Decomposition) decomposition. In this embodiment, the extended channel matrix H of the original channel H is directly subjected to GMD decomposition, and the process is as follows:
[0084] H = QRP H =[Q 1 Q 2 ] T RP H
[0085] Among them, upper triangular matrix R, unitary matrix P and unitary matrix Q can be obtained after decomposition. The values of the elements on the diagonal of the R matrix are all equal:
[0086] r i , ...
Embodiment 2
[0109] This embodiment is a multi-carrier implementation manner of the present invention, that is, it is implemented on an OFDM system. The specific process of signal processing is as follows:
[0110] The original channel matrix H is a Toeplitz circulant matrix. According to the nature of the matrix: any circulant matrix can be decomposed by the Fourier matrix eigenvalue, and then the following channel decomposition form is obtained:
[0111] H = F Nc H Λ H F Nc
[0112] Among them, F is the Fourier matrix of Nc×Nc, Λ H is the eigenvalue matrix of the channel matrix, and Nc is the number of symbols contained in the data block. Therefore, the extended channel matrix has the following decomposition form:
[0113] H ¯ = F Nc H Λ ¯ ...
Embodiment 3
[0160] The present invention also proposes a communication system based on precoding, including a sending end and a receiving end; the sending end includes a modulation module, a T-H precoding module, a cyclic prefix addition module and an antenna, and the receiving end includes an antenna, a cyclic prefix removal module, and a frequency domain Signal processing module, receiving filter module, modulo acquisition module and demodulation module; the aforementioned modules already exist in the existing communication system and will not be described again. The key of the system is that the communication system also includes: a geometric mean decomposition module based on the extended channel, and the sending end also includes a sending filtering module. Such as Figure 8 as shown, Figure 8 It is a schematic diagram of a single-carrier system based on the geometric mean decomposition of the extended channel matrix. The geometric mean decomposition based on the extended channel ...
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