Device and method for precoding vectors in a communication system
A device and method for precoding vectors in a communication system is provided. A transmitter may precode a data vector using information regarding a communication channel prior to transmitting the data vector. The transmitter may precode the data vector in a manner that reduces an energy value of a resulting transmit data vector so as to minimize interference in a received signal at a receiver. The transmitter may perturb entries of the data vector one-by-one in an iterative fashion until a minimum in an energy value of the transmit data vector is obtained.
1. A method in communication comprising:
determining, by a precoder, a transmit vector x using an information symbol vector u, comprising perturbing the information symbol vector u one entry at a time until an energy value of the transmit vector x does not decrease as a result of the perturbing; and
in response to the energy value of the transmit vector x not decreasing as a result of the perturbing, transmitting, by the precoder, the transmit vector x.
2. The method of claim 1 , further comprising receiving the information symbol vector u and a channel matrix H from a client device.
3. The method of claim 2 , wherein the transmit vector is further determined using the channel matrix H.
4. The method of claim 2 , further comprising:
calculating a precoder matrix G from the channel matrix H using equation G=H T (HH T ) −1 ,
wherein the transmit vector x is calculated according to equation x=Gu,
wherein the precoder matrix G comprises an (N t ×N u ) precoding matrix,
wherein the N t comprises a number of transmit antennas, and
wherein the N u comprises a number of users.
5. The method of claim 4 , wherein the perturbing the information symbol vector u one entry at a time comprises perturbing the entry so as to minimize an energy value of the Gu.
6. The method of claim 1 , wherein the perturbing the information symbol vector u one entry at a time comprises adding to the information symbol vector u a vector τp, wherein the τ comprises a positive real number determined based on a modulation scheme and the vector p comprises one non-zero entry that corresponds to an entry of the information symbol vector u that is being perturbed.
7. The method of claim 1 , wherein the perturbing the information symbol vector u one entry at a time comprises perturbing the information symbol vector u in such a way that a transformed vector ũ is a point in a lattice of a constellation of symbols used by the information symbol vector u such that the transformed vector ũ=u+τp, and wherein the p comprises a perturbation vector and the τ comprises a positive real number.
8. The method of claim 7 , wherein the τ further comprises a constellation constant value and is given by:
τ=2 |c max |+δ;
wherein the |c max | comprises a maximum value of either a real or imaginary component of constellation symbols used by the information symbol vector u, and the δ comprises a spacing between the constellation symbols.
9. The method of claim 7 , wherein the perturbing the entry of the information symbol vector u one entry at a time comprises changing a value of the entry of the information symbol vector u by an amount between −τ and +τ.
10. The method of claim 1 , wherein the energy value of the transmit vector x is a squared magnitude of a precoder matrix multiplied by the information symbol vector u.
11. The method of claim 10 , wherein the precoder matrix comprises G=H T (HH T ) −1 .
12. The method of claim 1 , wherein a bit-error rate (BER) of a received signal decreases for an increase in a number of base station antennas (N t ) and users (N u ).
13. The method of claim 1 , wherein a received signal-to-noise ratio (SNR) increases with an increase in a number of base station antennas (N t ) and users (N u ).
14. A method in communication comprising:
determining, by a precoder, a transmit vector x using an information symbol vector u, comprising iteratively perturbing entries of the information symbol vector u until an energy value of the transmit vector x is not less than a previous iteration energy value of the transmit vector x as a result of the perturbing; and
in response to the energy value of the transmit vector x not less than the previous iteration energy value of the transmit vector x, transmitting, by the precoder, the transmit vector x.
15. The method of claim 14 , wherein the perturbing of the information symbol u comprises perturbing the information symbol vector u one entry at a time until the energy value of the transmit vector x does not decrease as a result of the perturbing.
16. A non-transitory computer-readable medium containing a set of instructions for causing a computing device to perform functions of:
determining a transmit vector x using an information symbol vector u, comprising perturbing the information symbol vector u one entry at a time until an energy value of the transmit vector x does not decrease as a result of the perturbing; and
in response to the energy value of the transmit vector x not decreasing as a result of the perturbing, outputting the transmit vector x.
17. A precoder, comprising:
a vector perturbation unit; and
a processing unit configured to:
determine a transmit vector x using an information symbol vector u, and
instruct the vector perturbation unit to perturb another entry of the information symbol vector u in response to an energy value of the transmit vector x being smaller when using a perturbed information symbol vector ũ as compared to when using the information symbol vector u.