System and method for multiple-input multiple-output (MIMO) radio communication
A system, method and device for MIMO radio communication of multiple signals between a first device having N plurality of antennas and a second device having M plurality of antennas. At the first device, a vector s representing L signals [s 1 . . . s L ] to be transmitted is processed with a transmit matrix A to maximize capacity of the channel between the first device and the second device subject to a power constraint that the power emitted by each of the N antennas is less than or equal to a maximum power. The power constraint for each antenna may be the same for all antennas or specific or different for each antenna. For example, the power constraint for each antenna may be equal to a total maximum power emitted by all of the N antennas combined divided by N. The transmit matrix A distributes the L signals [s 1 . . . s L ] among the N plurality of antennas for simultaneous transmission to the second device. At the second device, the signals received by the M plurality of antennas are processed with receive weights and the resulting signals are combined to recover the L signals.
1. A method of simultaneously transmitting signals over a channel between a first device having N plurality of antennas and a second device having M plurality of antennas, the method comprising:
processing a vector s representing L signals [s 1 . . . s L ] with a transmit matrix A that is computed to maximize capacity of the channel by multiplying the vector s with the transmit matrix A, wherein the transmit matrix A is equal to VD, where V is an eigenvector matrix for H H H, H is the channel response from the first device to the second device, D=diag(d 1 , . . ., d L ) and |d p | 2 is the transmit power for p=1 to L; and
transmitting with a power constraint for each individual transmit antenna path, wherein if N≦M, then D=I·sqrt(P max /N), with I as an identity matrix, such that the power transmitted by each of the N plurality of antennas is the same and equal to P max /N; and if N>M, then D=sqrt(d·P max /N)·I, such that the power transmitted by antenna i for i=1 to N is (d·P max /N)·(VV H ) ii , and d p =d for p=1 to L.
2. The method of claim 1 , wherein the transmit matrix A is computed subject to the power constraint.
3. The method of claim 1 , wherein if N>M, then d=1/z and
z
=
max
i
{
(
VV
H
)
ii
}
,
such that the maximum power from any of the N plurality of antennas is P max /N and the total power emitted from the N plurality of antennas combined is between P max /M and P max .
4. The method of claim 1 , wherein if N>M, then d=1, such that the power emitted by antenna i for i=1 to N is (P max /N)·(VV H ) ii , and the total power emitted from the N plurality of antennas combined is P max /M.
5. The method of claim 1 , and further comprising:
receiving at the M plurality of antennas signals transmitted by the first device; and
processing the signals received at each of the plurality of M antennas with receive weights and combining the resulting signals to recover the L signals.
6. The method of claim 1 , wherein each of the L signals is baseband modulated using a multi-carrier modulation process, and wherein the processing comprises multiplying the vector s with a transmit matrix A(k) at each of a plurality of sub-carriers k.
7. A radio communication device for simultaneously transmitting signals over a channel between N transmit antennas and M receive antennas, the radio communication device comprising:
a. N plurality of antennas;
b. N plurality of radio transmitters each coupled to a corresponding one of the plurality of antennas; and
c. a baseband signal processor coupled to the N plurality of radio transmitters to process a vector s representing L signals [s 1 . . . s L ] with a transmit matrix A that is computed to maximize capacity of the channel by multiplying the vector s with the transmit matrix A, wherein the transmit matrix A is equal to VD, where V is an eigenvector matrix for H H H, H is the channel response from the first device to the second device, D=diag(d 1 , . . . , d L ) and |d p | 2 is the transmit power for p=1 to L; and to transmit according to a power constraint for each individual transmit antenna path, wherein if N≦M, then D=I·sqrt(P max /N), with I as an identity matrix, such that the power transmitted by each of the N plurality of antennas is the same and equal to P max /N; and if N>M, then D=sqrt(d·P max /N)·I, such that the power transmitted by antenna i for i=1 to N is (d·P max /N)·(VV H ) ii , and d p =d for p=1 to L.
8. The device of claim 7 , wherein the transmit matrix A is computed subject to the power constraint.
9. The device of claim 7 , wherein if N>M, then d=1/z and
z
=
max
i
{
(
VV
H
)
ii
}
such that the maximum power from any antenna of the N plurality of antennas is P max /N and the total power emitted from the N plurality of antennas combined is between P max /M and P max .
10. The device of claim 7 , wherein if N>M, then d=1, such that the power emitted by antenna i for i=1 to N is (P max /N)·(VV H ) ii , and the total power emitted from the N plurality of antennas combined is P max /M.
11. The device of claim 7 , wherein each of the L signals is baseband modulated using a multi-carrier modulation process, and the baseband signal processor multiplies the vector s with a transmit matrix A(k) at each of a plurality of sub-carriers k.
12. A radio communication system for simultaneously transmitting signals over a channel between N transmit antennas and M receive antennas, the radio communication system comprising:
a. a first device comprising:
i. N plurality of antennas;
ii. N plurality of radio transmitters each coupled to a corresponding one of the plurality of antennas; and
iii. a baseband signal processor coupled to the N plurality of radio transmitters to process a vector s representing L signals [s 1 . . . s L ] with a transmit matrix A that is computed to maximize capacity of the channel by multiplying the vector s with the transmit matrix A, wherein the transmit matrix A is equal to VD, where V is an eigenvector matrix for H H H, H is the channel response from the first device to the second device, D=diag(d 1 , . . . , d L ) and |d p | 2 is the transmit power for p=1 to L; and to transmit according to a power constraint for each individual transmit antenna path, wherein if N≦M, then D=I·sqrt(P max /N), with I as an identity matrix, such that the power transmitted by each of the N plurality of antennas is the same and equal to P max /N; and if N>M, then D=sqrt(d·P max /N)·I, such that the power transmitted by antenna i for i=1 to N is (d·P max /N)·(VV H ) ii , and d p =d for p=1 to L;
b. the second device comprising:
i. M plurality of antennas;
ii. M plurality of radio receivers each coupled to a corresponding one of the plurality of antennas; and
iii. a baseband signal processor coupled to the M plurality of radio receivers to process signals output by the plurality of radio receivers with receive weights and combining the resulting signals to recover the L signals [s 1 . . . S L ].
13. The system of claim 12 , wherein if N>M, then d=1/z and
z
=
max
i
{
(
VV
H
)
ii
}
such that the maximum power from any antenna of the N plurality of antennas is P max /N and the total power emitted from the N plurality of antennas combined is between P max /M and P max .
14. The system of claim 12 , wherein if N>M, then d=1, such that the power emitted by antenna i for i=1 to N is (P max /N)·(VV H ) ii , and the total power emitted from the N plurality of antennas combined is P max /M.
15. The system of claim 12 , wherein each of the L signals is baseband modulated using a multi-carrier modulation process, and the baseband signal processor multiplies the vector s with a transmit matrix A(k) at each of a plurality of sub-carriers k.