Apparatus and associated methods to introduce diversity in a multicarrier communication channel

1. A method comprising:

receiving content, at a diversity agent, the content for transmission from a wireless communication system having M transmit antennae and N receive antennae and Nc subcarriers, where Nc>>M,N, the received content for transmission from more than two of the M transmit antennae, wherein the received content is a vector of input symbols (s) of size Nc×1, and wherein the Nc subcarriers is the number of subcarriers of a multicarrier wireless communication channel of the wireless communication system;

generating a rate-one, space-frequency code matrix from the received content for transmission via the more than two of the M transmit antennae by dividing the vector of input symbols into a number G of groups to generate subgroups and multiplying at least a subset of the subgroups by a constellation rotation precoder to produce a number G of pre-coded vectors (v g ), wherein successive symbols from the same group transmitted from the same antenna are at a frequency distance that is multiples of MG subcarrier spacings;

wherein the diversity agent comprises an encoder to generate the rate one, space-frequency code matrix from the received content using a space frequency code; and

wherein the method further comprises the encoder applying the space frequency code to the received content to generate the rate-one, space-frequency code matrix, wherein the space frequency code only consumes one multicarrier communication channel block duration.

2. A method according to claim 1 , further comprising:

dividing each of the pre-coded vectors into a number of LM×1 subvectors; and

creating an M×M diagonal matrix D s g ,k =diag{Θ M×(K−1)+1 T s g , . . . , Θ M×k T s g }, where k=1 . . . L from the subvectors.

3. A method according to claim 2 , further comprising: interleaving the L submatrices from the G groups to generate an M×Nc space-frequency matrix.

4. A method according to claim 3 , wherein the space-frequency matrix provides M N L channel diversity, while preserving a code rate of 1 for any number of the transmit antennae M, receive antennae N and channel tap(s) L.

5. A method according to claim 1 , wherein the space-frequency matrix provides M N L channel diversity, while preserving a code rate of 1 for any number of the transmit antennae M, receive antennae N and channel tap(s) L.

6. The method of claim 1 , further comprising:

transmitting the space frequency code in one OFDM block duration.

7. An apparatus comprising:

a diversity agent:

to receive content for transmission from a wireless communication system having M transmit antennae and N receive antennae and Nc subcarriers, where Nc>>M,N, the received content for transmission via a multicarrier wireless communication channel of the wireless communication system, wherein the received content is a vector of input symbols (s) of size Nc×1, and wherein the Nc subcarriers is the number of subcarriers of the multicarrier wireless communication channel;

and

to generate a rate-one, space-frequency code matrix from the received content for transmission on the multicarrier wireless communication channel from more than two of the M transmit antennae by dividing the vector of input symbols into a number G of groups to generate subgroups and multiplying at least a subset of the subgroups by a constellation rotation precoder to produce a number G of pre-coded vectors (v g ), wherein successive symbols from the same group transmitted from the same antenna are at a frequency distance that is multiples of MG subcarrier spacings;

wherein the diversity agent comprises an encoder to generate the rate one, space-frequency code matrix from the received content using a space frequency code, and

wherein the method further comprises the encoder applying the space frequency code to the received content to generate the rate-one, space-frequency code matrix, wherein the space frequency code only consumes one multicarrier communication channel block duration.

8. An apparatus according to claim 7 , the diversity agent further comprising:

the encoder embodying a space-frequency encoding element to, responsive to the pre-coder element, divide each of the pre-coded vectors into a number of LM×1 subvectors, and to create an M×M diagonal matrix D s g ,k =diag{Θ M×(k−1)+1 T s g , . . . , Θ M×k T s g }, where k=1 . . . L from the subvectors.

9. An apparatus according to claim 8 , wherein the space-frequency encoding element interleaves the L submatrices from the G groups to generate an M×Nc space-frequency matrix.

10. An apparatus according to claim 9 , wherein the space-frequency matrix provides M N L channel diversity, while preserving a code rate of 1 for any number of the transmit antennae M, receive antennae N and channel tap(s) L.

11. An apparatus according to claim 7 , wherein the space-frequency matrix provides M N L channel diversity, while preserving a code rate of 1 for any number of the transmit antennae M, receive antennae N and channel tap(s) L.

12. A wireless communication system comprising:

a number M of omnidirectional antennas, wherein M comprises more than two omnidirectional antennas;

a number N of receive antennae;

a number Nc of subcarriers of a multicarrier wireless communication channel of the wireless communication system, where Nc>>M,N; and

a diversity agent:

to receive content for transmission via the multicarrier wireless communication channel, wherein the received content is a vector of input symbols (s) of size Nc×1, and

to generate a rate-one, space-frequency code matrix from the received content for transmission on the multicarrier wireless communication channel from at least a subset of the M omnidirectional antennas by dividing the vector of input symbols into a number G of groups to generate subgroups and multiplying at least a subset of the subgroups by a constellation rotation precoder to produce a number G of pre-coded vectors (v g ), wherein successive symbols from the same group transmitted from the same antenna are at a frequency distance that is multiples of MG subcarrier spacings;

wherein the diversity agent comprises an encoder to generate the rate one, space-frequency code matrix from the received content using a space frequency code; and

wherein the method further comprises the encoder applying the space frequency code to the received content to generate the rate-one, space-frequency code matrix, wherein the space frequency code only consumes one multicarrier communication channel block duration.

13. A wireless communication system according to claim 12 , the diversity agent further comprising:

the encoder embodying a space-frequency encoding element to, responsive to the pre-coder element, divide each of the pre-coded vectors into a number of LM×1 subvectors, and to create an M×M diagonal matrix D s g ,k =diag{Θ M×(k−1)+1 T s g , . . . , Θ M×k T s g }, where k=1 . . . L from the subvectors.

14. A wireless communication system according to claim 13 , wherein the space-frequency encoding element interleaves the L submatrices from the G groups to generate an M×Nc space-frequency matrix.

15. A wireless communication system according to claim 14 , wherein the space-frequency matrix provides M N L channel diversity, while preserving a code rate of 1 for any number of the omnidirectional antennas M, receive antennae N and channel tap(s) L.

16. A wireless communication system according to claim 12 , wherein the space-frequency matrix provides M N L channel diversity, while preserving a code rate of 1 for any number of the omnidirectional antennas M, receive antennae N and channel tap(s) L.

17. A method comprising:

receiving content, at a diversity agent, the content for transmission from a wireless communication system having M transmit antennae and N receive antennae and Nc subcarriers, where Nc>>M,N, the received content for transmission from more than two of the M transmit antennae, wherein the received content is a vector of input symbols (s) of size Nc×1, and wherein the Nc subcarriers is the number of subcarriers of a multicarrier wireless communication channel of the wireless communication system;

generating a rate-one, space-frequency code matrix from the received content for transmission via the more than two of the M transmit antennae by dividing the vector of input symbols into a number G of groups to generate subgroups and multiplying at least a subset of the subgroups by a constellation rotation precoder to produce a number G of pre-coded vectors (v g ), wherein successive symbols from the same group transmitted from the same antenna are at a frequency distance that is multiples of MG subcarrier spacings;

passing the rate-one, space-frequency code matrix as encoded content from the diversity agent to one or more inverse discrete Fourier transform (IDFT) elements; and

transforming the encoded content from frequency domain into time domain content.

18. The method of claim 17 , wherein a quantity of the IDFT elements is commensurate with a quantity of the M transmit antennae.

19. The method of claim 18 , further comprising:

passing the time domain content to one or more cyclical prefix insertion (CPI) elements to introduce a cyclical prefix or a guard interval prior to transmission via the M transmit antennae.