WO2002043313A2 - Agencements et procedes pour le turbo codage en treillis spatio-temporel - Google Patents

Agencements et procedes pour le turbo codage en treillis spatio-temporel Download PDF

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Publication number
WO2002043313A2
WO2002043313A2 PCT/GB2001/005130 GB0105130W WO0243313A2 WO 2002043313 A2 WO2002043313 A2 WO 2002043313A2 GB 0105130 W GB0105130 W GB 0105130W WO 0243313 A2 WO0243313 A2 WO 0243313A2
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coder
symbols
sttcm
supplied
odd
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PCT/GB2001/005130
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English (en)
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WO2002043313A3 (fr
Inventor
Branka Vucetic
Welly Firmanto
Jinhong Yuan
Zhuo Chen
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Nortel Networks Limited
Nortel Networks Uk Limited
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Priority to CA002429658A priority Critical patent/CA2429658A1/fr
Priority to AU2002223850A priority patent/AU2002223850A1/en
Priority to JP2002544915A priority patent/JP2004515119A/ja
Priority to EP01997920A priority patent/EP1340335A2/fr
Publication of WO2002043313A2 publication Critical patent/WO2002043313A2/fr
Publication of WO2002043313A3 publication Critical patent/WO2002043313A3/fr

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0045Arrangements at the receiver end
    • H04L1/0047Decoding adapted to other signal detection operation
    • H04L1/005Iterative decoding, including iteration between signal detection and decoding operation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0059Convolutional codes
    • H04L1/006Trellis-coded modulation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0064Concatenated codes
    • H04L1/0066Parallel concatenated codes
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0067Rate matching
    • H04L1/0068Rate matching by puncturing
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/02Arrangements for detecting or preventing errors in the information received by diversity reception
    • H04L1/06Arrangements for detecting or preventing errors in the information received by diversity reception using space diversity
    • H04L1/0618Space-time coding
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0071Use of interleaving

Definitions

  • This invention relates to coding for communications systems, for example for a cellular wireless communications system, for providing space-time (ST) diversity for so-called turbo trellis coding (TC) or trellis coded modulation (TCM) .
  • ST space-time
  • TC turbo trellis coding
  • TCM trellis coded modulation
  • wireless communications channels are subject to time-varying multipath fading, and it is relatively difficult to increase the quality, or decrease the effective error rate, of a multipath fading channel.
  • One technique which has been found to be advantageous is antenna diversity, using two or more antennas (or signal polarizations) at a transmitter and/or at a receiver of the system.
  • each base station typically serves many remote (fixed or mobile) units and its characteristics (e.g. size and location) are more conducive to antenna diversity, so that it is desirable to implement antenna diversity at least at a base station, with or without antenna diversity at remote units. At least for communications from the base station in this case, this results in transmit diversity, i.e. a signal is transmitted from two or more transmit antennas .
  • turbo coding parallel concatenated convolutional coding
  • GN additive white Gaussian noise
  • a turbo coder uses two, typically identical, recursive systematic convolutional (RSC) component coders, signals to be transmitted being supplied directly to one of the component coders and via an interieaver to the other of the component coders . Accordingly, it would be desirable to combine turbo and space-time coding techniques in the same transmitter.
  • RSC recursive systematic convolutional
  • V. Tarokh et al. "Space-Time Codes for High Data Rate Wireless Communication: Performance Criterion and Code Construction", IEEE Transactions on Information Theory, Vol. 44, No. 2, pages 744-765, March 1998 describes various convolutional, or trellis, codes which can be used with two or more transmit antennas to provide the advantages of trellis (convolutional) coding and space-time coding. Although these codes are considered optimal for maximum diversity gain, they are not necessarily optimal for coding gain. Furthermore, these codes are non-recursive. In contrast, it is well established that the best efficiency for turbo coding is achieved using recursive codes. Consequently, the codes described by Tarokh et al . are not particularly suitable for use in a- turbo coding arrangement.
  • An n-symbol de-interleaver de-interleaves output symbols from the second component coder, and a selector alternately for successive steps selects symbols output from the first component coder and symbols from the de- interieaver and supplies them to a single output path.
  • This arrangement does not provide transmit diversity and this document is not concerned with space-time coding.
  • this invention provides a coding arrangement comprising: first and second recursive STTCM (space-time trellis coded modulation) coders each arranged to produce, in each of a plurality of successive symbol intervals, a plurality of T M-PSK (M-ary phase shift keying, where M is a plural integer) symbols from b bits supplied thereto, where b is an integer; an interieaver arranged to interleave groups each of b input bits within an interleaving block with a mapping of even-to-even and odd-to- ' odd, or even-to-odd and odd-to-even, positions; input bits supplied to the first coder and to the interieaver, and interleaved bits supplied from the interieaver to the second coder; a symbol de-interleaver arranged to de-interleave, in a manner converse to the interleaving by the interieaver, groups of T symbols produced by the second STTCM coder; and
  • each coder is arranged to produce, in each • symbol interval, T modulo-M sums of linear combinations of current and one or more preceding groups of the b bits supplied to the coder to constitute the T symbols produced by the coder in the respective symbol interval.
  • the invention also provides a method of coding for providing space-time diversity for information to be transmitted from a plurality T of antennas, comprising the steps of: in each of a plurality of successive symbol intervals, producing T symbols at outputs of each of first and second recursive STTCM (space-time trellis coded modulation) coders, to the first of which coders input bits are supplied directly and to the second of which coders said information bits are supplied after interleaving of bit groups for respective symbol intervals in an interleaving block with a mapping of even-to-even and odd-to-odd, or even-to-odd and odd- to-even, positions; de-interleaving, in a manner converse to the interleaving, groups of T symbols produced by the second STTCM coder; and selecting the T symbols produced by the first coder and the T symbols from the de-interleaving step in respective first and second alternating symbol intervals for supply to paths to the T antennas .
  • STTCM space
  • Fig. 1 illustrates parts of a known space-time block code (STBC) transmitter
  • Fig. 2 illustrates a known turbo coder
  • Fig. 3 illustrates parts of a turbo space-time trellis coded modulation (STTCM) coding arrangement for a transmitter using two transmit antennas, in accordance with an embodiment of this invention
  • Fig. 4 illustrates a 16-state recursive trellis coder which can be used in the arrangement of Fig. 3;
  • Fig. 5 illustrates a decoding arrangement for use with the coding arrangement of Fig. 3.
  • Fig. 1 illustrates parts of a known space-time block code (STBC) transmitter.
  • STBC space-time block code
  • the transmitter of Fig. 1 includes a serial-to- parallel (S-P) converter 10, an M-PSK mapping function 12, and a space-time block coder (STBC) 14 providing outputs, via transmitter functions such as up-converters and power amplifiers not shown but represented in Fig. 1 by dashed lines, to at least two antennas 16 and 18 which provide transmit diversity.
  • S-P converter 10 is supplied with input bits of information to be communicated and produces output bits on two or more parallel lines to the M-PSK mapping function 12, which produces from the parallel bits sequential symbols i, x 2 , ... of an equal-energy signal constellation.
  • the QPSK symbols i, x 2 , ... , represented by complex numbers, are supplied to the STBC 14, which for simplicity is shown in Fig. 1 as having two outputs for the respective transmit antennas 16 and 18, but may instead have more than two outputs for a corresponding larger number of transmit antennas .
  • a known turbo (parallel concatenated convolutional) coder comprises two recursive systematic convolutional (RSC) coders 20 and 22 which are referred to as the constituent or component coders of the turbo coder, an interieaver 24, and a selector 26.
  • Input bits are supplied to the input of one coder 20, which produces at its outputs both systematic bits SI, which are the same as the input bits, and parity bits Pi.
  • the input bits are also supplied to and interleaved by the interieaver 24, and the interleaved bits are supplied to the input of the other coder 22, which produces at its outputs both systematic bits S2, which are the same as the interleaved input bits, and parity bits P2.
  • the outputs of the two coders 20 and 22 are supplied to inputs of the selector 26, except that typically and as shown in Fig. 3 the systematic bit output of the coder 22 is not connected because the interleaved bits at this output are never selected by the selector 26.
  • the selector 26 selects all of the systematic bits SI, and some or all of the parity bits Pi and P2 from the coders 20 and 22 respectively, and supplies them to an output of the turbo coder as output bits.
  • the selection of parity bits depends upon the rate of the coder. For example, for a rate 1/3 (3 output bits for each input bit) coder, the selector 26 can select all of the parity bits PI and P2. For a rate 1/2 (2 output bits for each input bit) coder, the selector 26 can alternately select the parity bits PI and P2 , so that only half of the parity bits PI and half of the parity bits P2 are output, this process being referred to as puncturing.
  • the interieaver 24 operates on groups each of m bits which are mapped at the output of each component coder into a PSK symbol combining the systematic and parity information.
  • the symbols from the second component coder are de-interleaved by a symbol de-interleaver, and the output selector alternately selects the symbols output from the first component coder (and the de-interleaver.
  • the interieaver (and consequently also the de-interleaver) in this case must provide an even-to-even and odd-to-odd (or even-to- odd and odd-to-even) position mapping.
  • Fig. 3 illustrates parts of a turbo space-time trellis coded modulation (STTCM) coding arrangement for a transmitter using two transmit antennas, in accordance with an embodiment of this invention.
  • STTCM turbo space-time trellis coded modulation
  • Fig. 3 represents the turbo STTCM coding arrangement, which comprises first and second recursive STTCM component coders 30 and 32, an interieaver 34, a symbol de-interleaver 36, and a selector 38 having two outputs for the respective transmit paths to the two antennas 16 and 18.
  • the coders 30 and 32 and the interieaver 34 each have b inputs for the groups of information bits .
  • the symbols produced in each symbol interval by the first coder 30 from the non-interleaved bit groups are identified as xl ⁇ and xl 2 as shown in Fig. 3.
  • the symbols produced by the second coder- 32 are de-interleaved by the de- interleaver 36, which operates conversely to the interieaver 34, to produce symbols in each symbol interval which are identified as x2 ⁇ and x2 2 as shown in Fig. 3. It is assumed here for convenience and simplicity that the coders 30 and 32 are identical, but as for known turbo coders this need not necessarily be the case and the coders 30 and 32 could instead differ from one another.
  • the selector 38 is controlled by a control signal of alternating ones and zeros (1010... as illustrated) at the bit group rate, and performs selection and puncturing functions as represented in Fig. 3 by switches within the selector 38.
  • a first state of the control signal for example when the control signal is a binary 1, the switches of the selector 38 have the states illustrated in Fig. 3 in which the symbols xli and xl 2 from the coder 30 are supplied as symbols x 1 and x 2 respectively to the output paths to the transmit antennas 16 and 18 respectively, and the symbols x2 ⁇ and x2 2 from the symbol de- interleaver 36 are not used.
  • the switches of the selector 38 In a second state of the control signal, for example when the control signal is a binary 0, the switches of the selector 38 have their opposite states in which the symbols x2 ⁇ and x2 from the symbol de-interleaver 36 are supplied as the symbols x 1 and x 2 respectively to the output paths to the transmit antennas 16 and 18 respectively, and the symbols xl ⁇ and xl 2 from the coder 30 are not used.
  • the interieaver 34 it is necessary (for decoding reasons as explained in the Robertson et al . publication referred to above) for the interieaver 34 to map even positions at its input to even positions at its output, and odd positions at its input to odd positions at its output (or, alternatively, even- to-odd and odd-to-even position mapping) , as in the case of the Robertson et al . arrangement discussed above.
  • the interieaver 34 is arranged to provide such mapping accordingly, and the de- interleaver 36 provides a converse mapping as described above.
  • the coder states are numbered 0 to 7, and each QPSK symbol has one of four states numbered 0 to 3.
  • the coder 32 if the interieaver moves 2-bit groups in positions numbered 0 to 5 in the interleaving block to positions 2, 5, 4, 1, 0, and 3 respectively, then the coder 32 generates the symbol sequence ⁇ (2,2), (3,2), (0,3), (3,0), (3,1), (1,2) ⁇ from an initial state of 0 with its next states being successively 1, 5, 3, 4, 3, and 5.
  • the units 30, 32, 34, 36, and 38 provide a turbo coding arrangement for space-time trellis coded modulation, thereby enabling advantages of coding gain and diversity gain of these coding functions to be combined.
  • STTCM codes can have a significant affect on the performance of the coding arrangement.
  • the STTCM codes known from the Tarokh et al . publication referred to above are not recursive as is important to obtain the full advantages of a turbo coding arrangement, and are not necessarily optimal for coding gain.
  • STTCM codes can be found through systematic code searching techniques (where this is computationally feasible) to provide a theoretically maximal diversity gain and an improved coding gain, as described by S. Baro et al . in "Improved Codes for Space-Time Trellis Coded Modulation", IEEE Communications
  • Desirable STTCM codes (and consequently forms of the STTCM coders 30 and 32) can be determined in other ways either known or yet to be devised. The particular codes described below are given by way of example of recursive STTCM codes which are considered to provide advantageous performance in particular situations.
  • Fig. 4 illustrates a 16-state QPSK recursive feedback STTCM coder which can be used to constitute each of the component coders 30 and 32 in the coding arrangement described above with reference to Fig. 3.
  • the coder comprises adding elements 45 and 46, multiplication functions 47 to 52, and a summing function 53 which is supplied with the outputs of the multiplication functions 47 to 52 and which produces two output symbols (for two transmit antennas) x ⁇ and x ⁇ at the time t, corresponding for example to the output symbols li and xl 2 respectively of the coder 30 as described above .
  • the input bit c° is supplied to one input, and the outputs of the delay elements 41 and 42 are supplied to other inputs, of the adding element 45, whose output is supplied to the input of the delay element 41.
  • the output of the delay element 41 is also supplied to the input of the delay element 42.
  • the outputs of the adding element 45 and of the delay elements 41 and 42 are also supplied to inputs of the multiplication functions 47 to 49 respectively, which are also supplied with multiplication coefficients ( aj , a 2 0 ) , ( , a x 2 ) , and
  • the input bit c ⁇ is supplied to one input, and the outputs of the delay elements 43 and 44 are supplied to other inputs, of the adding element 46, whose output is supplied to the input of the delay element 43.
  • the output of the delay element 43 is also supplied to the input of the delay element 44.
  • the outputs of the adding element 46 and of the delay elements 43 and 44 are also supplied to inputs of the multiplication functions 50 to 52 respectively, which are also supplied with multiplication coefficients ( bj , ⁇ b 2 0 ) , ( b ⁇ , b ⁇ ) , and ( ⁇ b j ) respectively.
  • the coder of Fig. 4 provides a modulo-4 sum of the linear combinations of the current and delayed binary inputs , represented algebraically by the Equation:
  • ne ⁇ l,2 ⁇ identifies the two output symbols
  • an 8-PSK STTCM coder for a transmitter with two transmit antennas and for fast fading channels - provides a modulo-8 sum of the linear combinations of the current and delayed binary inputs, c° , c , and at a time t, can be represented algebraically by the Equation:
  • v v 0 +v 1 +v 2 , for 8-PSK a ⁇ b ⁇ d ⁇ e ⁇ ,l,2,...,7 ⁇ , j ⁇ ⁇ ⁇ , 1, ..., v , and a variable cj: is
  • Vl • defined as c ⁇ cJ + Vc ⁇ , mod 2 with ie ⁇ ,l,2 ⁇ .
  • recursive feedback STTCM codes can be derived from feedforward codes by rearranging the order of outputs of the trellis.
  • Table 4 represents, for the feedforward code and the derived recursive feedback code and in a similar manner to that of Table 1 above, the next state of the coder and the two output symbols of a 4-state QPSK STTCM coder for a coding arrangement for two transmit antennas:
  • Table 5 represents, for the feedforward code and the derived recursive feedback code, the next state of the coder and the two output symbols of an 8-state QPSK STTCM coder for a coding arrangement for two transmit antennas :
  • Table 6 represents, for the derived recursive feedback code only, the next state of the coder and the two output symbols of an 8-state 8-PSK STTCM coder for a coding arrangement for two transmit antennas :
  • each of the two component coders is chosen to be a recursive STTCM coder providing T output symbols for each group of b input bits, and the selector alternately selects the T symbols of the two component coders for supply to T output paths for the T transmit antennas .
  • Table 7 lists, in a similar manner to Table 2 above, multiplication coefficients for various values v of memory order for recursive QPSK STTCM codes for three output symbols, i.e. for three transmit antennas:
  • Equation (1) For QPSK symbols for three transmit antennas for fast fading channels, the recursive STTCM coders are represented by Equation (1) given above but with ne ⁇ 1,2,3 ⁇ corresponding to the three output paths .
  • Table 8 lists, in a similar manner, multiplication coefficients for various values v of memory order for recursive 8-PSK STTCM codes for four output symbols, i.e. for four transmit antennas:
  • the recursive STTCM coders are represented by Equation (2) given above but with ne ⁇ l,2,3,4 ⁇ corresponding to the four output paths.
  • Equation (2) The form of STTCM coders for other combinations of M-PSK symbols and numbers of transmit antennas can be seen from these examples .
  • Fig. 5 illustrates a decoding arrangement for use in a receiver for receiving signals from a transmitter using a coding arrangement as described above with reference to Fig. 3.
  • the receiver (not shown) may have a single receive antenna and related circuits, such as down converters and signal amplifiers and samplers, to provide received symbols which are supplied to the input of the decoding arrangement as described below, or it may have two or more receive antennas the signals from which are supplied to a correspondingly modified decoding arrangement .
  • the decoding arrangement comprises a de-puncturing selector 60, two soft output trellis code decoders 61 and 62, symbol-based interleavers 63 and 64, and symbol-based de- interleavers 65 and 66.
  • the de-interleavers 65 and 66 operate with the same symbol-based de-interleaving as the de- interleaver 36 of the turbo coding arrangement of Fig. 3, conversely to the interleaving operation of the interleavers 63 and 64 and, equivalently, the bit group interieaver 34 of the turbo coding arrangement .
  • the decoding arrangement of Fig. 5 is a symbol-by- symbol log-MAP (maximum a posteriori) decoder, with respect to which reference is directed to the Robertson et al. publication referred to above, which contains a detailed discussion of such decoders.
  • the decoders 61 and 62 which are complementary to the component coders 30 and 32 respectively of the turbo coding arrangement of Fig. 3, operate iteratively to take advantage of the turbo coding gain.
  • the decoder 61 operates on non-interleaved or de-interleaved information
  • the decoder 62 operates on interleaved information
  • the interleavers 63 and 64 and the de-interleaver 65 providing the symbol-based interleaving and de-interleaving of information coupled to and between these decoders.
  • an output decision is derived from the decoder 62 via the de-interleaver 66.
  • received symbols r are supplied to the decoder 61 and are interleaved by the interieaver 63 to produce interleaved received symbols f which are supplied to the decoder 62.
  • the decoder 61 determines extrinsic and systematic information (as described in the Robertson et al .
  • these are inseparable in a symbol-by-symbol decoding arrangement) ⁇ , es , constituting log-likelihood ratios for respective received symbols, which are interleaved by the interieaver 64 to produce interleaved extrinsic and systematic information ⁇ 1/es .
  • This interleaved extrinsic and systematic information is supplied to the decoder 62, which uses it as a priori information to decode the interleaved received symbols r .
  • the decoder 62 consequently produces interleaved extrinsic and systematic information ⁇ 2 , es a *id interleaved information ⁇ 2 representing the received symbols.
  • the interleaved extrinsic and systematic information ⁇ 2 . es is de-interleaved by the de- interleaver 65 to produce extrinsic and systematic information ⁇ 2 , es which is supplied to the decoder 61 for use as a priori information in a second iteration of the decoding arrangement.
  • This process is repeated for the desired number of iterations, after which the information ⁇ 2 produced by the decoder 62 is de-interleaved by the de-interleaver 66 to provide an output decision for the respective symbols.
  • the decoders 61 ' and 62 are arranged to avoid using the same systematic information more than once in each iteration.

Abstract

La présente invention concerne un premier et un deuxième codeur à modulation par codage en treillis spatio-temporel (STTCM) récursifs produisant chacun, dans des intervalles de symboles successifs, une pluralité de symboles T à déplacement de phase à base M à partir d'un groupe de b bits d'entrée, où M = 2b. Les groupes de b bits sont fournis directement au premier codeur et par l'intermédiaire d'un entrelaceur au deuxième codeur, dont les symboles de sortie sont réciproquement désentrelacés. Un sélecteur fournit en alternance des symboles T du premier codeur et des symboles T du désentrelaceur dans des intervalles de symboles successifs, à des chemins de sortie T pour des antennes T fournissant une diversité de transmission. Des codes STTCM pour différentes valeurs de T et M et pour des voies sujettes à un évanouissement lent et rapide sont décrits.
PCT/GB2001/005130 2000-11-22 2001-11-20 Agencements et procedes pour le turbo codage en treillis spatio-temporel WO2002043313A2 (fr)

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CA002429658A CA2429658A1 (fr) 2000-11-22 2001-11-20 Agencements et procedes pour le turbo codage en treillis spatio-temporel
AU2002223850A AU2002223850A1 (en) 2000-11-22 2001-11-20 Space-time turbo trellis coding arrangement and method thereof
JP2002544915A JP2004515119A (ja) 2000-11-22 2001-11-20 時空間ターボトレリス符号化のための装置及び方法
EP01997920A EP1340335A2 (fr) 2000-11-22 2001-11-20 Agencements et procedes pour le turbo codage en treillis spatio-temporel

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US09/717,286 2000-11-22

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WO2005088862A1 (fr) * 2004-03-18 2005-09-22 Electronics And Telecommunications Research Institute Emetteur-recepteur en diversite utilise dans un systeme armc avec un code espace-temps, procede correspondant
EP1658683A2 (fr) * 2003-08-29 2006-05-24 Nokia Corporation Appareil et procede associe permettant de communiquer des donnees a des niveaux de diversite selectionnes dans un systeme de communications radio
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US8031800B2 (en) 2000-12-22 2011-10-04 Amosmet Investments Llc Transmitting digital signal
USRE43746E1 (en) 2000-02-22 2012-10-16 Amosmet Investments Llc Method and radio system for digital signal transmission using complex space-time codes

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JP2004515119A (ja) 2004-05-20
EP1340335A2 (fr) 2003-09-03
CA2429658A1 (fr) 2002-05-30
WO2002043313A3 (fr) 2002-10-17

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