Method and system for broadcasting via phase-shift keying modulation with multiple transmit antennas

1. A method of broadcasting multi-layered information in a multi-antenna broadcasting system comprising:

identifying at least a first and second layer of information to be transmitted;

encoding the first layer of information for transmission, wherein encoding the first layer of information comprises differentially encoding a product of the first layer of information and a first unitary code matrix, U b representing the first unitary code matrix and being selected from the set

X

b

=

{

[

1

0

0

1

]

,

[

0

-

1

1

0

]

,

[

0

1

-

1

0

]

,

[

-

1

0

0

-

1

]

}

such that the product of the first layer of information and the first unitary code matrix is defined by U b εX b ;

encoding the second layer of information for transmission, wherein the second layer of information is encoded using a second unitary code matrix different from the first unitary code matrix; and

transmitting the first and second layers of the multi-layered information with the multi-antenna broadcasting system.

2. The method of claim 1 , said step of encoding the second layer of information comprising differentially encoding a product of the second layer of information and the second unitary code matrix.

3. The method of claim 2 , wherein U a represents the second unitary code matrix and is selected from the set

X

a

=

{

[

ⅇ

iπ

⁢

⁢

λ

0

0

ⅇ

iπ

⁢

⁢

γ

]

,

[

ⅇ

iπ

⁢

⁢

γ

0

0

ⅇ

iπ

⁢

⁢

λ

]

,

[

ⅇ

-

iπ

⁢

⁢

λ

0

0

ⅇ

-

iπ

⁢

⁢

γ

]

,

[

ⅇ

-

iπ

⁢

⁢

γ

0

0

ⅇ

-

iπ

⁢

⁢

λ

]

}

such that the product of the second layer of information and the second unitary code matrix is defined by U a εχ a .

4. The method of claim 3 , wherein the transmitted signal X at a time t is defined by X(t)=X(t−1)U b (t)U a (t).

5. A multi-antenna system for broadcasting multi-layered information comprising:

means for identifying at least a first and second layer of information to be transmitted;

means for encoding the first layer of information for transmission, said means for encoding the first layer of information comprising means for differentially encoding a product of the first layer of information and a first unitary code matrix, U b representing the first unitary code matrix and being selected from the set

X

b

=

{

[

1

0

0

1

]

,

[

0

-

1

1

0

]

,

[

0

1

-

1

0

]

,

[

-

1

0

0

-

1

]

}

such that the product of the first layer of information and the first unitary code matrix is defined by U b εχ b ;

means for encoding the second layer of information for transmission, wherein the means for encoding the second layer of information encodes the second layer of information using a second unitary code matrix different from the first unitary code matrix; and

means for transmitting the first and second layers of the multi-layered information with the multi-antenna broadcasting system.

6. The system of claim 5 , said means for encoding the second layer of information comprising means for differentially encoding a product of the second layer of information and the second unitary code matrix.

7. The system of claim 6 , wherein U a represents the second unitary code matrix and is selected from the set

X

a

=

{

[

ⅇ

ⅈπλ

0

0

ⅇ

ⅈπγ

]

,

[

ⅇ

ⅈπγ

0

0

ⅇ

ⅈπλ

]

,

[

ⅇ

-

ⅈπλ

0

0

ⅇ

-

ⅈπγ

]

,

[

ⅇ

-

ⅈπγ

0

0

ⅇ

-

ⅈπλ

]

}

such that the product of the second layer of information and the second unitary code matrix is defined by U a εχ a .

8. The system of claim 7 , wherein the transmitted signal X at a time t is defined by X(t)=X(t−1)U b (t)U a (t).

9. A computer readable medium, having stored thereon a computer program having a plurality of code sections executable by a machine for causing the machine to perform the steps of:

identifying at least a first and second layer of information to be transmitted;

encoding the first layer of information for transmission using a first unitary code matrix; said step of encoding the first layer of information comprising differentially encoding a product of the first layer of information and a first unitary code matrix, U b representing the first unitary code matrix and being selected from the set

X

b

=

{

[

1

0

0

1

]

,

[

0

-

1

1

0

]

,

[

0

1

-

1

0

]

,

[

-

1

0

0

-

1

]

}

such that the product of the first layer of information and the first unitary code matrix is defined by U b εχ b ;

encoding the second layer of information for transmission using a second unitary code matrix; wherein the second layer of information is encoded using a second unitary code matrix different from the first unitary code matrix; and

transmitting the first and second layers of the multi-layered information with the multi-antenna broadcasting system.

10. The computer readable medium of claim 9 , said step of encoding the second layer of information comprising differentially encoding a product of the second layer of information and the second unitary code matrix.

11. The computer readable medium of claim 10 , wherein U a represents the second unitary code matrix and is selected from the set

X

a

=

{

[

ⅇ

ⅈπλ

0

0

ⅇ

ⅈπγ

]

,

[

ⅇ

ⅈπγ

0

0

ⅇ

ⅈπλ

]

,

[

ⅇ

-

ⅈπλ

0

0

ⅇ

-

ⅈπγ

]

,

[

ⅇ

-

ⅈπγ

0

0

ⅇ

-

ⅈπλ

]

}

such that the product of the second layer of information and the second unitary code matrix is defined by U a εχ a .

12. The computer readable medium of claim 11 , wherein the transmitted signal X at a time t is defined by X(t)=X(t−1)U b (t)U a (t).

13. A method of processing multi-layered information received from a multi-antenna broadcasting system comprising:

receiving a wireless transmission comprised of multi-layered information, wherein each layer of the information is encoded;

decoding at least a first layer of information from the wireless transmission, wherein decoding the first layer of information comprises differentially decoding a product of the first layer of information and a first unitary code matrix, U b representing the first unitary code matrix and being selected from the set

X

b

=

{

[

1

0

0

1

]

,

[

0

-

1

1

0

]

,

[

0

1

-

1

0

]

,

[

-

1

0

0

-

1

]

}

such that the product of the first layer of information and the first unitary code matrix is defined by U b εχ b ;

decoding a second layer of information from the wireless transmission; wherein the second layer of information is decoded using a second unitary code matrix different from the first unitary code matrix; and

presenting the decoded information.

14. The method of claim 13 , said step of decoding the second layer of information comprising differentially decoding a product of the second layer of information and the second unitary code matrix.

15. The method of claim 14 , wherein U a represents the unitary code matrix and is selected from the set

X

a

=

{

[

ⅇ

ⅈπλ

0

0

ⅇ

ⅈπγ

]

,

[

ⅇ

ⅈπγ

0

0

ⅇ

ⅈπλ

]

,

[

ⅇ

-

ⅈπλ

0

0

ⅇ

-

ⅈπγ

]

,

[

ⅇ

-

ⅈπγ

0

0

ⅇ

-

ⅈπλ

]

}

such that the product of the second layer of information and the second unitary code matrix is defined by U a εχ a .

16. The method of claim 15 , wherein the wireless transmission X at a time t is defined by X(t)=X(t−1)U b (t)U a (t).

17. A system for processing multi-layered information received from a multi-antenna broadcasting system comprising:

means for receiving a wireless transmission comprised of multi-layered information, wherein each layer of the information is encoded;

means for decoding at least a first layer of information from the wireless transmission, said means for decoding the first layer of information comprising means for differentially decoding a product of the first layer of information and a first unitary code matrix, U b representing the first unitary code matrix and being selected from the set

X

b

=

{

[

1

0

0

1

]

,

[

0

-

1

1

0

]

,

[

0

1

-

1

0

]

,

[

-

1

0

0

-

1

]

}

such that the product of the first layer of information and the first unitary code matrix is defined by U b εχ b ;

means for decoding a second layer of information from the wireless transmission, wherein the second layer of information is decoded using a second unitary code matrix different from the first unitary code matrix; and

means for presenting the decoded information.

18. The system of claim 17 , said means for decoding the second layer of information comprising means for differentially decoding a product of the second layer of information and the second unitary code matrix.

19. The system of claim 18 , wherein U a represents the second unitary code matrix and is selected from the set

X

a

=

{

[

ⅇ

ⅈπλ

0

0

ⅇ

ⅈπγ

]

,

[

ⅇ

ⅈπγ

0

0

ⅇ

ⅈπλ

]

,

[

ⅇ

-

ⅈπλ

0

0

ⅇ

-

ⅈπγ

]

,

[

ⅇ

-

ⅈπγ

0

0

ⅇ

-

ⅈπλ

]

}

such that the product of the second layer of information and the second unitary code matrix is defined by U a εχ a .

20. The system of claim 19 , wherein the wireless transmission X at a time t is defined by X(t)=X(t−1)U b (t)U a (t).

21. A computer readable medium, having stored thereon a computer program having a plurality of code sections executable by a machine for causing the machine to perform the steps of:

receiving a wireless transmission comprised of multi-layered information, wherein each layer of the information is encoded;

decoding at least a first layer of information from the wireless transmission, wherein the first layer of information is decoded using a first unitary code matrix decoding the first layer of information comprising differentially decoding a product of the first layer of information and a first unitary code matrix, U b representing the unitary code matrix and being selected from the set

X

b

=

{

[

1

0

0

1

]

,

[

0

-

1

1

0

]

,

[

0

1

-

1

0

]

,

[

-

1

0

0

-

1

]

}

such that the product of the first layer of information and the first unitary code matrix is defined U b εχ b ;

decoding a second layer of information from the wireless transmission, wherein the second layer of information is decoded using a second unitary code matrix different from the first unitary code matrix; and

presenting the decoded information.

22. The computer readable medium of claim 21 , said step of decoding the second layer of information comprising differentially decoding a product of the second layer of information and the second unitary code matrix.

23. The computer readable medium of claim 22 , wherein U a represents the second unitary code matrix and is selected from the set

X

a

=

{

[

ⅇ

ⅈπλ

0

0

ⅇ

ⅈπγ

]

,

[

ⅇ

ⅈπγ

0

0

ⅇ

ⅈπλ

]

,

[

ⅇ

-

ⅈπλ

0

0

ⅇ

-

ⅈπγ

]

,

[

ⅇ

-

ⅈπγ

0

0

ⅇ

-

ⅈπλ

]

}

such that the product of the second layer of information and the second unitary code matrix is defined by U a εχ a .

24. The computer readable medium of claim 23 , wherein the wireless transmission X at a time t is defined by X(t)=X(t−1)U b (t)U a (t).