OFDM networks with pseudo-random phase precoding

1. A method for communicating symbols in a network including a transmitter and a receiver, wherein the network uses orthogonal frequency division multiplexing (OFDM), wherein the transmitter has a set of transmit antenna, and wherein the receiver has a set of receive antennas, comprising:

storing a set of pseudo random sequences (PRS) at the transmitter and the receiver;

mapping each symbol to subcarriers for the set of transmit antennas to produce a mapped symbol;

encoding the mapped symbol using a pseudo-random phase precoder (PRPP) and the PRS to produce a precoded symbol, wherein the PRPP uses a K-by-K pseudo-random phase precoding (PRPP) matrix W n at time n, where a number of channels is K, p denotes a row index and q denotes a column index of the matrix W n , and an element (p, q) in the matrix W n is exp(j*θ(p, q))/√{square root over (K)}, where θ(p, q) is a pseudo-randomly phase generated by the PRS uniformly distributed between −π and π;

applying an inverse fast Fourier transform (IFFT) to the precoded symbol; and

transmitting the encoded symbol to the receiver using the set of transmit antennas.

2. The method of claim 1 , wherein the network is a single-input and multiple-output (SIMO) network.

3. The method of claim 1 , wherein the network is a multiple-input and multiple-output (MIMO) network.

4. The method of claim 1 , further comprising:

receiving the encoded symbol at the set of receive antennas;

applying a fast Fourier transform to the received symbol to produce a transformed symbol;

applying an iterative likelihood search (ILS) procedure to the transformed symbol using the PRS to produce a detected symbol;

de-mapping the detected symbol.

5. The method of claim 1 , wherein the PRPP deliberately introduces inter-channel interference.

6. The method of claim 1 , wherein the receiver is a linear minimum mean-square error (LMMSE) receiver.

7. The method of claim 1 , wherein the receiver is a zero-forcing (ZF) receiver.

8. The method of claim 6 , wherein the receiver is the LMMSE receiver uses ordered successive interference cancellation (SIC) techniques.

9. The method of claim 6 , wherein the receiver is a matched-filter receiver.

10. The method of claim 6 , where the receiver uses a tabu search procedure with the LMMSE as an initial vector.

11. The method of claim 7 , where the receiver is a tabu search procedure with the ZF as an initial vector.

12. The method of claim 1 , where the receiver uses a tabu search procedure with matched-filter as an initial vector.

13. The method of claim 6 , where the receiver uses a reactive tabu search procedure with the LMMSE as an initial vector.

14. The method of claim 7 , where the receiver uses a reactive tabu search procedure with the ZF as an initial vector.

15. The method of claim 1 , where the receiver uses a reactive tabu search procedure with matched-filter as an initial vector.

16. The method of claim 6 , where the receiver uses a generalized probabilistic data association (GPDA) procedure with the LMMSE as the initial vector.

17. The method of claim 16 , where the receiver uses the GPDA procedure zero forcing as the initial vector.

18. The method of claim 16 , where the receiver uses the a GPDA procedure with matched-filter as the initial vector.