Multi-cell processing architectures for modeling and impairment compensation in multi-input multi-output systems

1. A method for multiple-input multiple-output impairment pre-compensation comprising:

receiving a plurality of input signals forming a multiple-input signal in a multiple-input multiple-output system;

generating a pre-distorted multiple-input signal from the received multiple-input signal;

generating a multiple-output signal by feeding the pre-distorted multiple-input signal into a multiple-input and multiple-output transmitter;

estimating impairments generated by the multiple-input and multiple-output transmitter, the impairments comprising nonlinear crosstalk between distinct ones of the plurality of input signals; and

adjusting the pre-distorted multiple-input signal to compensate for the estimated impairments, wherein generating the pre-distorted multiple-input signal comprises feeding the received multiple-input signal to a matrix of pre-processing cells, comprising, in each of the pre-processing cells of the matrix:

nonlinear processing blocks compensating for multiple-input multiple-output nonlinear distortions and an effect of interferences between signal paths of the multiple-input signal and signal paths of the multiple-output signal; and

linear processing blocks compensating for the multiple-input multiple-output linear distortions and the effect of interferences between the signal paths of the multiple-input signal and the signal paths of the multiple-output signal.

2. The method of claim 1 , wherein adjusting the pre-distorted multiple-input signal includes introducing linear and nonlinear distortions on each signal path of the multiple-input signal.

3. The method of claim 2 , wherein adjusting the pre-distorted multiple-input signal further includes introducing interference between each signal path of the multiple input signal.

4. The method of claim 1 , comprising, in the nonlinear processing blocks:

processing the multiple-input signal and the multiple-output signal to determine a desired multiple-output signal that pre-compensates for the nonlinear distortions; and

estimating a nonlinear function for each nonlinear processing block.

5. The method of claim 1 , comprising, in the linear processing blocks:

processing the multiple-input signal and the multiple-output signal to determine a desired multiple-output signal that pre-compensates for the linear distortions; and

estimating a linear function for each linear processing block.

6. The method of claim 1 , comprising, in the non-linear and linear processing blocks:

processing the multiple-input signal and the multiple-output signal to determine a desired multiple-output signal that pre-compensates for the non-linear and linear distortions;

estimating a non-linear function for each non-linear processing block; and

estimating a linear function for each linear processing block,

7. The method of claim 1 , wherein each of the pre-processing cells of the matrix models a behavior of the multi-input multi-output system.

8. A pre-compensator for use with a multiple-input and multiple output transmitter, comprising:

a multiple-input for receiving a plurality of input signals forming a multiple-input signal;

a matrix of pre-processing cells for generating a pre-distorted multiple-input signal from the received multiple-input signal; and

a multiple-output for feeding the pre-distorted multiple-input signal to the multiple input and multiple-output transmitter;

wherein the pre-processing cells are configured so as to estimate impairments generated by the multiple-input and multiple-output transmitter and adjust the predistorted multiple-input signal to compensate for the estimated impairments, the impairments comprising nonlinear crosstalk between distinct ones of the plurality of input signals, wherein each of the pre-processing cells of the matrix includes:

nonlinear processing blocks compensating for multiple-input multiple-nonlinear distortions and an effect of interferences between signal paths of the multiple input signal and signal paths of the multiple-output signal; and

linear processing compensating for multiple-input multiple-output linear distortions and the effect of interferences between the signal paths of the multiple-input signal and the signal paths of the multiple-output signal.

9. The pre-compensator of claim 8 , wherein the adjustment of the predistorted multiple-input signal introduces linear and nonlinear distortions on each signal path of the multiple-input signal.

10. The pre-compensator of claim 9 , wherein the adjustment of the predistorted multiple-input signal further introduces interference between each signal path of the multiple-input signal.

11. The pre-compensator of claim 8 , wherein the nonlinear processing blocks are configured so as to: process the multiple-input signal and the multiple-output signal to determine a desired multiple-output signal that pre-compensates for the nonlinear distortions; and

estimate a nonlinear function for each nonlinear processing block.

12. The pre-compensator of claim 8 , wherein the linear processing blocks are configured so as to:

process the multiple-input signal and the multiple-output signal to determine a desired multiple-output signal that pre-compensates for the linear distortions; and

estimate a linear function for each linear processing block.

13. The pre-compensator of claim 8 , wherein the non-linear and linear processing blocks are configured so as to:

process the multiple-input signal and the multiple-output signal to determine a desired multiple-output signal that pre-compensates for the non-linear and linear distortions, respectively;

for the non-linear processing blocks, estimate a non-linear function for each nonlinear processing block; and

for the linear processing blocks, estimate a linear function for each linear processing block.

14. The pre-compensator of claim 8 , wherein each of the pre-processing cells of the matrix models a behavior of a multi-input multi-output system.

15. A post-compensator for use with a multiple-input and multiple output transmitter, comprising:

a multiple-input for receiving a multiple-output signal from the multiple-input and multiple-output transmitter;

a matrix of post-processing cells for generating a distorted multiple-output signal from the received multiple-output signal; and

a multiple-output for outputting the distorted multiple-output signal;

wherein the post-processing cells are configured so as to estimate impairments generated by the multiple-input and multiple-output transmitter and adjust the distorted multiple-output signal to compensate for the estimated impairnents, the impairments comprising nonlinear crosstalk between distinct ones of a plurality of signals input to the multiple-input and multiple-output transmitter, wherein each of the post-processing cells of the matrix includes:

nonlinear processing blocks compensating for multiple-input multiple-output nonlinear distortions and an effect of interferences between signal paths of the multiple input signal and signal paths of the multiple-output signal; and

linear processing blocks compensating for multiple-input multiple-output linear distortions and the effect of interferences between the signal paths of the multiple-input signal and the signal paths of the multiple-output signal.