Super-Nyquist system GMD precoding method based on cyclic convolution

The invention discloses a GMD precoding method for a super-Nyquist system based on cyclic convolution. The method comprises the following steps: obtaining an intersymbol interference matrix and a sending symbol block of the super-Nyquist system; performing GMD decomposition on the intersymbol interference matrix to obtain a first matrix, a second matrix and a third matrix; performing GMD pre-coding on the sending symbol block based on the third matrix to obtain a coded sending symbol block; replacing the linear convolution of the baseband shaping filter with a first cyclic convolution, and carrying out a super-Nyquist shaping operation on the coded sending symbol block based on the first cyclic convolution to obtain a transmitting symbol block; replacing the linear convolution of the matched filter with a second cyclic convolution, and performing matched filtering operation on the transmitting symbol block based on the second cyclic convolution to obtain a receiving symbol block; and based on the first matrix