Channel equalization method and communication system thereof based on precoding
A channel equalization and precoding technology, applied in the field of communication systems based on precoding, can solve the problems of data effective signal-to-noise ratio not meeting the requirements, steep slope, uneven reception signal-to-noise ratio, etc.
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Embodiment 1
[0070] This embodiment is a single carrier implementation manner of the present invention. The specific process of signal processing is as follows: step S100, according to the equivalent channel matrix after frequency domain equalization Perform geometric mean decomposition to obtain upper triangular matrix R, unitary matrix P and unitary matrix Q. According to mathematics-related literature, the geometric mean decomposition of a matrix is also called GMD (Geometry Mean Decomposition) decomposition. In this embodiment, the equivalent channel matrix Perform GMD decomposition:
[0071] H ^ = QRP H
[0072] 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:
[0073] r i , i ...
Embodiment 2
[0093] 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:
[0094] Since 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 eigenvalue of the Fourier matrix, and then the following channel decomposition form is obtained:
[0095] H = F Nc H Λ H F Nc
[0096] 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. The Fourier matrix can be quickly realized by IFFT transform and FFT transform. Therefore, the decomposition of the original channel matrix H can be simplified into a diagonally structured eige...
Embodiment 3
[0127] 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 An equalization module, a receiving filter module, a modulo acquisition module and a demodulation module; the above-mentioned modules already exist in the existing communication system and will not be described again. The key to this system is that it also includes: a geometric mean decomposition module, which is used to equalize the equivalent channel matrix according to the frequency domain Perform geometric mean decomposition to obtain the upper triangular matrix R, unitary matrix P and unitary matrix Q, and send the R matrix to the T-H precoding module, send the P matrix to the sending filter module, and send the Q matrix to the rec...
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