Coding for Large Antenna Arrays in MIMO Networks
First Claim
1. A method for transmitting a sequence of symbols S, in a multiple-input multiple-output (MIMO) network including a transmitter having a set of transmit antennas and a receiver having a set of receive antennas, comprising the steps of:
- representing the sequence of symbols by a vector S=[S1 S2 S3 S4] of individual symbols, where T is a transpose operator; and
transmitting the individual symbols as a transmit matrix is where * is a complex conjugate, and wherein each column of the matrix S represents the symbols transmitted, and subscripts index the set of transmit antennas.
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Abstract
A method transmits a sequence of symbols in a multiple-input multiple-output (MIMO) network including a transmitter having a set of transmit antennas and a receiver having a set of receive antennas. The sequence of symbols is represented by a vector S=[S1 S2 S3 S4]T of individual symbols, where T is a transpose operator. The individual symbols are transmitted as a transmit matrix
where * is a complex conjugate, and wherein each column of the matrix S represents the symbols transmitted at each transmission interval, and subscripts index the set of transmit antennas.
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Citations
9 Claims
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1. A method for transmitting a sequence of symbols S, in a multiple-input multiple-output (MIMO) network including a transmitter having a set of transmit antennas and a receiver having a set of receive antennas, comprising the steps of:
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representing the sequence of symbols by a vector S=[S1 S2 S3 S4] of individual symbols, where T is a transpose operator; and transmitting the individual symbols as a transmit matrix is where * is a complex conjugate, and wherein each column of the matrix S represents the symbols transmitted, and subscripts index the set of transmit antennas. - View Dependent Claims (3, 4, 5, 6, 7, 8, 9)
where elements hi,j are channel coefficients from the jth transmit antenna to the ith receive antenna.
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5. The method of claim 4, wherein a received signal r is
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r = HS + n = [ h 1 , 1 h 1 , 2 h 1 , 3 h 1 , 4 h 2 , 1 h 2 , 2 h 2 , 3 h 2 , 4 h 3 , 1 h 3 , 2 h 3 , 3 h 3 , 4 h 4 , 1 h 4 , 2 h 4 , 3 h 4 , 4 ] [ S 1 - S 2 * S 1 - S 2 * S 2 S 1 * S 2 S 1 * S 3 - S 4 * - S 3 S 4 * S 4 S 3 * - S 4 - S 3 * ] + n , where noise n is
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6. The method of claim 5, further comprising:
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setting a received signal and the first symbol S1 is the second symbol S2 is the third symbol S3 is and the fourth symbol S4 is
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7. The method of claim 5, wherein the sequence of symbols is
S=[S1 S2 S3 S5 S6 S7 S8], and the transmit matrix is -
[ S 1 - S 2 * S 5 - S 6 * S 2 S 1 * S 7 - S 8 * S 3 - S 4 * S 6 S 5 * S 4 S 3 * S 8 S 7 * S 1 - S 2 * S 5 - S 6 * S 2 S 1 * - S 7 S 8 * - S 3 S 4 * S 6 S 5 * - S 4 - S 3 * - S 8 - S 7 * ] , and the received signal is where noise is
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8. The method of claim 1, wherein each successive column is transmitted at each transmission interval.
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9. The method of claim 1, wherein each successive column is transmitted on adjacent sub-carriers using space-frequency block coding.
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2. The method of claim 2, wherein the columns are transmitted as a stream of symbols before any feedback from a receiver is expected.
Specification