Spreading and precoding in OFDM
An OFDM transmitter spreads original data symbols with a complex-valued spreading matrix derived from a discrete Fourier transform. Spread data symbols are mapped to OFDM subcarriers. Spreading and mapping are configured to produce a transmitted spread-OFDM signal with a low peak-to-average power ratio (PAPR) and orthogonal code spaces. In MIMO systems, the complex-valued spreading matrix can comprise a MIMO precoding matrix, and the code spaces can comprise MIMO subspaces. In Cooperative-MIMO, a combination of low code-space cross correlation and low PAPR can be achieved.
1. A computer program product, comprising a non-transitory computer-readable medium having computer readable program code stored therein, said program code containing instructions executable by one or more processors of a computer system to implement a method comprising:
performing a first discrete Fourier transform (DFT) on a received spread-Orthogonal Frequency Division Multiplexing (OFDM) signal to produce a demodulated signal; and
performing a second DFT on the demodulated signal to produce decoded data symbols, wherein the second DFT is an inverse of a DFT employed by a transmitter to spread data symbols across OFDM subcarriers.
2. The computer program product recited in claim 1 , wherein the DFT employed by the transmitter reduces peak-to-average power of the spread-OFDM signal.
3. The computer program product recited in claim 1 , wherein at least one of the first DFT and the second DFT comprises a fast Fourier transform.
4. The computer program product recited in claim 1 , wherein the first DFT is configured to demodulate at least one of a spread-OFDM signal having contiguous subcarrier frequencies and a spread-OFDM signal having non-contiguous subcarrier frequencies.
5. The computer program product recited in claim 1 , wherein said program code further contains instructions executable by one or more processors of the computer system for equalizing the demodulated signal.
6. The computer program product recited in claim 1 , wherein said program code further contains instructions executable by one or more processors of the computer system for removing a cyclic prefix from the received spread-OFDM signal.
7. The computer program product recited in claim 1 , wherein said program code further contains instructions executable by one or more processors of the computer system for generating at least one of hard decisions and soft decisions for estimates of the decoded data symbols.
8. A method, comprising:
performing a first discrete Fourier transform (DFT) on a received spread-Orthogonal Frequency Division Multiplexing (OFDM) signal to produce a demodulated signal; and
performing a second DFT on the demodulated signal to produce decoded data symbols, wherein the second DFT is an inverse of a DFT employed by a transmitter to spread data symbols across OFDM subcarriers.
9. The method recited in claim 8 , wherein the DFT employed by the transmitter reduces peak-to-average power of the spread-OFDM signal.
10. The method recited in claim 8 , wherein at least one of the first DFT and the second DFT comprises a fast Fourier transform.
11. The method recited in claim 8 , wherein the first DFT is configured to demodulate at least one of a spread-OFDM signal having contiguous subcarrier frequencies and a spread-OFDM signal having non-contiguous subcarrier frequencies.
12. The method recited in claim 8 , further comprising equalizing the demodulated signal.
13. The method recited in claim 8 , further comprising removing a cyclic prefix from the received spread-OFDM signal.
14. The method recited in claim 8 , further comprising generating at least one of hard decisions and soft decisions for estimates of the decoded data symbols.
15. An apparatus comprising:
a processor; and
a memory coupled to the processor, the memory including a set of instructions stored therein and executable by the processor to:
perform a first discrete Fourier transform (DFT) on a received spread-Orthogonal Frequency Division Multiplexing (OFDM) signal to produce a demodulated signal; and
perform a second DFT on the demodulated signal to produce decoded data symbols, wherein the second DFT is an inverse of a DFT employed by a transmitter to spread data symbols across OFDM subcarriers.
16. The apparatus recited in claim 15 , wherein the DFT employed by the transmitter reduces peak-to-average power of the spread-OFDM signal.
17. The apparatus recited in claim 15 , wherein at least one of the first DFT and the second DFT comprises a fast Fourier transform.
18. The apparatus recited in claim 15 , wherein the first DFT is configured to demodulate at least one of a spread-OFDM signal having contiguous subcarrier frequencies and a spread-OFDM signal having non-contiguous subcarrier frequencies.
19. The apparatus recited in claim 15 , wherein the memory further includes a set of instructions stored therein and executable by the processor to equalize the demodulated signal.
20. The apparatus recited in claim 15 , wherein the memory further includes a set of instructions stored therein and executable by the processor to remove a cyclic prefix from the received spread-OFDM signal.
21. The apparatus recited in claim 15 , wherein the memory further includes a set of instructions stored therein and executable by the processor to generate at least one of hard decisions and soft decisions for estimates of the decoded data symbols.
22. An apparatus, comprising
a first discrete Fourier transform (DFT) to demodulate coded data symbols modulated on OFDM subcarriers of a received Orthogonal Frequency Division Multiplexing (OFDM) signal; and
a second DFT to decode the coded data symbols for generating decoded data symbols, wherein the second DFT performs the inverse of a DFT employed by a transmitter to spread data symbols across OFDM subcarriers.
23. The apparatus recited in claim 22 , wherein the DFT employed by the transmitter reduces peak-to-average power of the spread-OFDM signal.
24. The apparatus recited in claim 22 , wherein at least one of the first DFT and the second DFT comprises a fast Fourier transform.
25. The apparatus recited in claim 22 , wherein the first DFT is configured to demodulate at least one of a spread-OFDM signal having contiguous subcarrier frequencies and a spread-OFDM signal having non-contiguous subcarrier frequencies.
26. The apparatus recited in claim 22 , further comprising an equalizer coupled between the first DFT and the second DFT and configured to equalize the demodulated signal.
27. The apparatus recited in claim 22 , further comprising a cyclic prefix remover to remove a cyclic prefix from the received spread-OFDM signal.
28. The apparatus recited in claim 22 , further comprising a decision processor to generate at least one of hard decisions and soft decisions for estimates of the decoded data symbols.