Method and radio system for digital signal transmission using complex space-time codes
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Abstract
The invention relates to a method and an arrangement for transmitting a digital signal consisting of symbols, which arrangement comprises a coder (308) for coding complex symbols to channel symbols in blocks having the length of a given K, means (312) for transmitting the channel symbols via several different channels and two or more antennas (314 to 318). The coder (308) is arranged to code the symbols using a code matrix, which can be expressed as a sum of 2K elements, in which each element is a product of a symbol or symbol complex conjugate to be transmitted and a N×N representation matrix of a complexified anti-commutator algebra, extended by a unit element, and in which each matrix is used at most once in the formation of the code matrix. A code matrix is also provided which is formed by matrices of a portion of the symbols placed on the diagonal of the code matrix and by matrices of a second portion of symbols along the anti-diagonal of the code matrix.
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Citations
78 Claims
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1-2. -2. (canceled)
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3. :
- A method of transmitting a signal consisting of symbols comprising the steps of;
coding complex symbols to channel symbols in blocks having the length of a given K, wherein the coding is defined by a code matrix, which can be expressed as a sum of 2K elements, in which each element is a product of a symbol or symbol complex conjugate to be transmitted and a N×
N representation matrix of a complexified anti-commutator algebra, extended by a unit element, and in which each matrix is used at most once in the formation of the code matrix; and
transmitting the symbols via several different channels and a plurality of antennas. - View Dependent Claims (5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20)
- A method of transmitting a signal consisting of symbols comprising the steps of;
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4. :
- A method of transmitting a signal consisting of symbols comprising the steps of;
coding complex symbols to channel symbols in blocks having the length of a given K, comprising the steps of;
forming a code matrix freely selecting 2K−
1 unitary, antihermitean N×
N matrices anticommuting with each other;
forming K−
1 pairs of said matrices, wherein the remaining matrix forms a pair with an N-dimensional unit matrix;
forming two matrices of each the pair wherein a second matrix of the pair, multiplied by the imaginary unit, is added to and subtracted from a first matrix of the pair, and in which each matrix formed in the above manner defines the dependence of the code matrix on one symbol or symbol complex conjugate to be coded; and
transmitting the channel symbols via several different channels and a plurality of antennas. - View Dependent Claims (55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70)
- A method of transmitting a signal consisting of symbols comprising the steps of;
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21-22. -22. (canceled)
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23. :
- An arrangement for transmitting a signal consisting of symbols comprising;
a coder for coding complex symbols to channel symbols in blocks having the length of a given K; and
means for transmitting the channel symbols via several different channels and a plurality of antennas;
wherein the coder is arranged to code the symbols using a code matrix, which can be expressed as a sum of 2K elements, in which each element is a product of a symbol or symbol complex conjugate to be transmitted and a N×
N representation matrix of a complexified anti-commutator algebra, extended by a unit element, and in which each matrix is used at most once in the formation of the code matrix. - View Dependent Claims (25, 26, 27, 28, 29, 30, 31, 32)
- An arrangement for transmitting a signal consisting of symbols comprising;
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24. :
- An arrangement for transmitting a signal consisting of symbols comprising;
a coder for coding complex symbols to channel symbols in blocks having the length of a given K; and
means for transmitting the channel symbols via several different channels and plurality of antennas;
wherein the coder is arranged to code the symbols using a code matrix which is formed by freely selecting 2K−
1 unitary, anti-hermitean N×
N matrices anti-commuting with each other, forming K−
1 pairs of said matrices, whereby the remaining matrix forms a pair with an N-dimensional unit matrix, forming two matrices of each pair such that the second matrix of the pair, multiplied by the imaginary unit, is added to and subtracted from the first matrix of the pair, and in which each matrix formed in the above manner defines the dependence of the code matrix on one symbol or symbol complex conjugate to be coded. - View Dependent Claims (71, 72, 73, 74, 75, 76, 77, 78)
- An arrangement for transmitting a signal consisting of symbols comprising;
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33-54. -54. (canceled)
Specification