TW201228306A - Wired communications system using beamforming and transmitting communication device - Google Patents

Abstract

A communication device (100) may store a codebook table containing a plurality of codebook entries, wherein each codebook entry includes predefined precoder values for each of at least two transmit paths of a transmission channel (300). On the basis of received feedback information, the communication device (100) selects that one from the codebook entries, whose precoder values approximate a perfect precoding matrix for beamforming transmit signals at best among the codebook entries. The communication device (100) may use the precoder values to construct a precoding matrix for beamforming its transmit signals.

Description

201228306 VI. Description of the Invention: [Technical Field of the Invention] An embodiment of the present invention relates to a communication system using beamforming in which information describing a precoding matrix is fed back from a receiving communication device to a transmitting communication device. Other embodiments are related to communication devices and methods of using beamforming to operate communication devices. [Prior Art] Multiple input multiple output (MIMO) and multiple input single output communication systems (MISO) use beamforming to increase the bandwidth. The embodiment described in ΕΡ 20 1 9496 Α 1 refers to a power line communication system incorporating eigen beamforming and adaptive orthogonal frequency division multiplexing, wherein the receiving communication device returns channel status information to the transmitting communication device. The embodiment in EP 2061160 A1 relates to the precoding method of the power line communication system without the channel state information exchange between the communication devices. SUMMARY OF THE INVENTION One object of the present invention is to provide a wired communication system with enhanced data throughput, a communication device for such a communication system, and a method of operating the communication system. This is achieved by applying the subject matter of the independent patent scope. Other embodiments are defined in the sub-items. The details of the present invention will become apparent from the following description of the embodiments, together with the accompanying drawings, in which [Embodiment] FIG. 1A shows a communication system 199. Communication system 199 is a wired communication system such as X D S L (Universal Digital Subscriber Line) or D V B - C 2 (Digital Video Broadcasting - Cable). According to an embodiment, the communication system 199 is based on an OFDM (Orthogonal Frequency Division Multiplexing) modulation scheme. Communication system 199 can be a system that uses distribution lines to transmit data. For example, the communication system 99 is power line communication (PLC), main power communication, power line telecommunication (PLT), broadband power line (BPL), or power band or power line using a modulated carrier of 50 or 60 Hz alternating current respectively superimposed to power. Network link (PLN). The communication system 199 is, for example, a helium system having a first communication device 100 on the left hand side. The first communication device 1A includes a transmitter unit 110 employing one, two, or more interface ports 101. The first communication device 100 on the right hand side includes a receiver unit 120 employing at least one (e.g., two, three or four) interface ports 101. The transmission channel 300 is connected to the transmitter unit 110 of the first communication device 100 on the left hand side and the receiver unit 120 of the second communication device 100 on the right hand side. The first communication device 100 can be a transfer-only device having an interface 101 configured to transmit only. According to other embodiments, the first communication device 1 is a two-way device, in addition to the transmitter unit 11 (), including the receiver unit 120' which may be of the type of the receiver unit 120 in the second communication device 10? Some or all of the interfaces 埠101 may be bidirectional. The second communication device 100 can be a device that only receives. According to other embodiments, the second-6-201228306 communication device 100 is a two-way device, in addition to the receiver unit 20, including a transfer unit 110' which may be the transmitter unit 110 in the first communication device 1 Type 'where some or all of the interface 埠101 can be two-way 埠. The communication device 100 can be a standalone device or can be integrated into an electronic device for consumer applications, such as in a storage unit, a television, an audio receiver, a video recorder, or a sensor device like a fire detector. in. The transmission channel 300 can be a multi-line connection. According to an embodiment, the transmission channel is a power cable containing two or more electrical conductors for transmitting AC (alternating current) power and is installed in the building or buried underground as a permanent wiring. The complex m transmission signal tx defines a transmission vector tm and the complex η reception signal ry defines a reception vector rn. For example, each transmitter unit 110 can use a live or phase line (L, P), a neutral line (N), and a protective ground line (PE) to supply two differential transmit signals tx, where the mains voltage is overlapped The differential frequency transmission signal tx is modulated on the carrier of the AC frequency. According to an embodiment, the receiver unit 120 receives three differential received signals between the live and neutral lines, between the neutral and protective ground lines, and between the live and protective ground lines. According to another embodiment, the receiver unit 120 can receive three differential received signals and a common mode signal from the leakage current of the wiring as the fourth received signal. In the actual transmission channel 300, the transmission signals tx interfere with each other', e.g., by capacitive coupling between the wires. In the channel matrix Hn,m describing the function of the received vector ^ as the transfer vector U, the element of each row describes one of the received signals ry which are dependent on all of the transmitted signals tx, where the element hi of the usual Hn,m when crosstalk occurs, No one will be equal to 〇.

201228306 (l) Γη =

Hn,m tm To enhance the signal-to-noise ratio (SNR), the principle of beamforming provides decoupling of the received signal by precoding the transmitted vector with the precoding matrix Pmm such that the resulting equivalent channel is obtained on the receiving side. After the matrix Hn, mPm,m applies the appropriate decoding scheme, a diagonal matrix is generated and each - the decoded signal depends only on a single transmitted signal. For example, the 'receiving communication device 100' may include a channel estimator unit for determining a channel matrix Hn,m describing channel state information (CSI) of the transmission channel 300 by comparing the received training symbol sequence with the nominal training symbol sequence. . Next, the singularly decomposed Hn,m can be used to obtain a suitable precoding matrix Pm,m and a suitable decoding matrix. As shown in equation (2), the singular 値 decomposition (SVD) decomposes the channel matrix Hn,m into the first unitary matrix Un,n, the second monomorphic matrix Vn^m of the Hermitian (Hermitian) Transpose Vn^H, and the diagonal matrix Dn,m, where the diagonal item of Dn,m is the singularity of the channel matrix ^(2)

Hn, m = Un, n Dn, m Vm, mH According to an embodiment, the receiving communication device 100 transmits feedback information containing information describing the second simple matrix Vm,m to the transmitting communication device 100. According to an embodiment, the feedback information is transmitted via the transmission channel 300. According to other embodiments, the feedback information is transmitted via an alternate transmission path. For example, operation -8-201228306 may configure the transmitting device based on channel status information available in the installation phase of the communication system including the receiving and transmitting communication device 100. The feedback information may be a sequence of bits including a data area transmitted from the receiving communication device 1 to the precoding initialization message of the transmitting communication device 100 during installation. The feedback information may also be included in the message transmitted after the receiving communication device 100 periodically or after receiving the significant change in the channel status information by the receiving communication device 100. According to an embodiment, the feedback information is a binary number between 〇 and 2n-1, where η is the number of bits used to encode the feedback information. The number of bits can be between 2 and 12. For example, feedback information includes 5, 6, 7, or 8 bits. The transmitting communication device 100 includes a precoder control unit configured to generate a precoding matrix based on the feedback information. For example, the feedback information is an index identifying one of the plurality of items stored in the table in the memory unit by the communication device 100 and the precoder control unit uses the precoder 分配 assigned to the identified item to obtain the precoding matrix. Each interface of each codebook item for simultaneous transmission of the transmitted signal may contain at least one precoder 値. From the precoder 定 addressed by the index contained in the feedback information, the precoder control unit obtains a precoding matrix that approximates at least the second unitary matrix vni,m and uses the approximate second unitary matrix Vm m as Precoding matrix Pm,m. Next, equation (3) describes the reception vector rn: (3) r received by the receiver unit 220. - Hn,m 'Vm.rn tm 201228306 In equation (3), the channel matrix Hn,m : (4) Γη = Un,n Dn,m can be replaced by the SVD description of the channel matrix in equation (2) Vm,mH Vm,m tm The product of the unitary matrix and its Hermitian transposition is the identity matrix «Using the Hermitian transpose ϋη, ηΗ of the first simple matrix ^^^ to decode the received vector will produce the decoded receive vector yn : (5) yn = Un, nH Un, n Dn, m Vm, mH Vm, m tm (6) yn = Dn.m tm The transmission channel 300 is decomposed into a set of parallel and independent paths in view of decoding the reception vector yn. Typically, the precoding/decoding scheme uses beamforming to decompose the interference signal to increase the signal to noise ratio of the payload data. The beamforming precoding/decoding scheme can be applied only to payload data. According to other embodiments, the beamforming precoding/decoding scheme can also be applied to the transmission of synchronization data and training symbols. Figure 2A shows the receiving communication device 100 including the receiver unit 120 in more detail. The communication device 100 receives the received signals at one, two, three, four, or more interfaces 101. According to an embodiment, each of the dielectric banks 110 includes a wire connector, for example, a connector to a communication wiring or a power wiring. -10- 201228306 According to an embodiment, the communication device 100 can have three interface ports 101 each configured between a live line and a neutral line, or between a live line and a protective ground line, or a neutral line and a protective ground line. Receive differential signals between. According to another embodiment, the communication device 1 further includes a fourth interface 组态 configured to receive a common mode signal caused by a leakage current. The receiver unit 120 recovers from the at least one received signal to the receiving communication device 100 via the connection receiving communication device 100 and the transmission channel of the transmitting communication device that establishes a communication link (for example, a point-to-point communication link) with the receiving communication device 100. At least one first transmitted signal. Receiver unit 120 can include an input signal processing unit 121 that can adjust and sample analog receive signals to obtain one or more (e.g., two) digital receive signals. The signal level of the received signal can be adjusted in response to information included in the received signal. According to an embodiment, the input signal processing unit 112 may convert the digital received signal into a frequency domain, wherein a digital data stream is generated for each digital received signal. Amplitude and phase information can be obtained from the received signal for further adjustment of the signal level. In an embodiment with reference to multi-carrier transmission techniques, input signal processing unit 121 may use OFDM to decompose each data stream into quadrature modulation components in the frequency domain. According to an embodiment, the synchronization information included in the received signal can be used for demodulation. The communication device 100 includes a channel estimation unit 150 that estimates channel state information based on, for example, training symbols contained in the received signal. Channel estimation unit 150 may compare the selected symbols included in the received signal burst with an equivalent nominal signal. Typically, a set of pre- -11 - 201228306 training symbols are known at both the transmitter and receiver sides and training symbols are selected for channel estimation. Based on the comparison result, the channel estimation unit 150 can determine the channel matrix Hn,m. Channel estimation unit 150 may calculate the channel matrix Hn,m or select the best modeled real transmission channel from a plurality of predetermined channel matrices. The channel estimation unit 150 may further forward channel status information or information derived from the channel status information to the codebook control unit 183. Based on the received channel status information, the codebook control unit 183 consults a table stored in the codebook memory unit 186 to generate feedback information for the transmitter side. This table can be the type of the lookup table and is referred to below as the codebook table. Accordingly, the items in the codebook table are referred to below as codebook items. The feedback information may be a binary representation representing an index identifying one of the matching entries in the codebook table, wherein the precoder 値 identified by the matching item represents or at least approximates a perfect precoding matrix. The index referring to the item in the codebook table is hereinafter referred to as the codebook index. According to an embodiment, the feedback information represents a codebook index for determining a codebook item that best approximates the second unitary matrix Vm,m among all items in the codebook table. In the receiving communication device 100, the stored codebook table can be used to determine a codebook index to be transmitted to the transmitting communication device that establishes a communication link with the receiving communication device. In the transmission communication device, the same codebook table is stored. The transmitting communication device determines a precoding matrix by accessing a corresponding item in its own codebook table by using the received codebook index. The communication device 100 can use the same codebook table from the same codebook memory unit 188 as a receiving device for determining the codebook index, and as a transmitting device, for generating a pre-based based on the received codebook index. Encoding matrix. -12- 201228306 The receiving communication device 100 may include an output unit that outputs a codebook index identifying the matching item. According to an embodiment, the output unit is a transmitter unit 110 configured to output a codebook index via at least one of the interface ports 101. These outgoing transmission signals may be related to the frequency range, the modulation method, and the transmission power being balanced with the received signal. In other words, the outgoing transmission signal may be transmitted using the transmission communication device (which establishes a communication link with the communication device 100). The same frequency range, the same modulation technique, and almost the same transmit power are transmitted. Channel estimation unit 150 may further provide information needed to determine or directly describe first monomorphic matrix Un, n to decoder control unit 189. The decoder control unit 189 receives information determining the decoding matrix (e.g., Hermitian transpose Un, nH of the first singular matrix Un, n) and correspondingly configures the decoder unit 124 in the receiving path of the receiving unit 120. Decoder unit 124 decodes the received signal in accordance with the beamforming scheme described above to produce a decoded received signal. Decoder unit 124 is defined as coefficients derived from the decoding matrix. The decoder unit 124 is programmable to implement different decoding matrices. For example, in the learning phase, the decoding matrix can be selected to implement an equalizer or a detection function for detecting the transmitted MIM 0 path, for example, a zero forcing receiver. In the operational phase, the decoding matrix can be approximately equal to the Hermitian transpose Un, nH of the first simplex matrix Un,n. Demodulation transformer 127 can demodulate each of the data streams output by decoder unit 124. The demodulator 127 can be a quadrature amplitude demodulator that produces a demodulated data signal that can be output to the demultiplexer unit 128, which combines the demodulated data signal to be transmitted to the control. Unit 190 processes one, two, or more data streams from -13 to 201228306. Figure 2B refers to the details of an embodiment of the receiver unit 120 of the communication device 100. The illustrated embodiment refers to a transmitting communication device (not shown) that drives two transmitted signals, and a receiving communication device 100 that receives two or more (e.g., three or four) received signals via interface 101. The input signal processing unit 121 samples the analog received signal and can output an equivalent number of digital received signals, wherein the signal level of the received signal can be adjusted in response to information derived from the received signal. The input signal processing unit 121 can further convert the digital received signal into the frequency domain, wherein a digital data stream is generated for each digital received signal, and each data stream can be decomposed into a quadrature tone in the frequency domain using OFDM. Variable component, wherein the synchronization information included in the received signal is available for demodulation. According to an embodiment, the input signal processing unit 121 may output the resulting data stream to the equalizer unit 122, which uses the QR decomposition of the channel matrix. The Q and R matrices are obtained to perform channel equalization. The equalizer unit 122 can output the equalized data stream to the decoder unit 124. According to another embodiment, no channel equalization is performed and the input signal processing unit 121 can directly output the resulting data stream to the decoder unit 124. The decoder unit 124 decodes the data stream using the decoder matrix UH. Demodulation transformer unit 129 may perform QAM demodulation that may or may not use tonemap information derived from channel state information and recombines two or more received signals into the resulting received signal. The code error redundancy included can be used to detect and correct the positive error correction of the data error. The channel estimation unit 150 can be configured to determine parameters that describe the channel matrix H that attenuates and interacts between the signals -14 - 201228306. Channel estimation unit 150 may perform singular 値 decomposition to obtain decoder matrix UH of decoder unit 124. According to another embodiment, the decoder control unit 189 can use the information derived from the channel estimation unit 150 to determine the decoder matrix UH, e.g., by the singular 値 decomposition of the channel matrix Η. The pseudo-inverse unit 182 can use the information obtained by the channel estimation unit 150 to determine the coefficients of the equalizer unit 1 22, such as by QR decomposition of the channel matrix Η. In addition, the information obtained by the channel estimation unit 150 can be used directly or indirectly to generate a codebook index that identifies a codebook entry having a precoder 码 in the codebook table, by which the precoder can be used in all codes. The best approximate perfect precoder matrix V among the book items. The channel estimation unit 150 may supply the channel matrix Η, or in embodiments including the pseudo-inverse unit 18 2, the pseudo-inverse unit 182 may supply the orthogonal matrix Q and/or the upper triangular matrix R or a derivative of at least one of the above, for example R·1, to the codebook control unit 1 8 3. Based on the received information, the codebook control unit 183 generates a binary 代表 representing the codebook index, wherein the codebook index identifies one of the matching entries stored in the codebook table in the codebook memory unit 188. The precoder identified by match 0 is at least the best approximation of the perfect precoding matrix on the transmitter side among all codebook items. According to an embodiment, the codebook index identifies items in the codebook table that represent or approximate the second simplex matrix V. The codebook control unit 183 includes a codebook search unit i83a that searches for the best matching item among all items stored in the codebook table in the code ft memory unit 188. According to the embodiment, the codebook control unit 丨83 includes the lookup table 5 reciprocal unit 183b and the codebook search unit i83a selects the item assigned to the lookup table stored in the lookup table memory unit 183b. An index subset to search for the best match in the codebook table. The tables of Figures 3A and 3B refer to code embodiments for a scheme with two transport ports (e.g., a PLC system in a home using two transport ports). The number of available data streams depends on the receiving device's communication device having at least two receiving ports to support the transmission of different symbols via the two ports. In this case the code matrix is a 2x2 matrix with row vectors % and V2: (7) V=[vx V2] The perfect precoding matrix V decomposes the ΜΙΜΟ channel into two unique turbulences, where the first path is second The path is stronger and provides SNR. The rows of the perfect precoding matrix V can be interchanged to change the two logical paths, so that the second path will be stronger than the first one. For embodiments in which the receiving communication device contains only one received decoder or only one received stream (for example, when spot beamforming), the precoding matrix V is reduced to 2x1 pre-programmed (8) F = [v, And the components of the precoding vector fully describe the precoding matrix V. ^; 2x2 matrix and the transmission communication device uses the orthogonal $ and $2 delivery ’ to derive the number of the first codebook 从 book from the components Vi and v2 of the first row vector K. Stream, its, pre-programmed logic, better 支援 support super, when the code vector i v is two passes, two rows to -16- 201228306

(9)

V1 -V2- Due to the nature of the precoding matrix V, Vl is the real coefficient and V2 is the complex coefficient: (10> ν2 =|ν2|·βχρ(/··^2) The absolute ν of ν2 depends on: 11) |v2 = — Vj2 In other words, the phase angles of Vi and V2 (P2 is sufficient to determine V2. The parameters Vi and ς> 2 fully describe the 2x1 precoding vector V and the 2x2 precoding vector V of the precoding matrix v of the above case. The diagram refers to a codebook table 310 having m items 305 that identify a predetermined precoding matrix based on the actual parameters, Re{v2}, and im{V2}. Based on the received codebook index and no further It is calculated that the transmitting communication device can directly access all of the ones of the predetermined precoding matrix that best fits the perfect precoding matrix. Figure 3B refers to the codebook table 320 having the codebook length m and containing m items 305, The items are based on only two actual parameters Vl and φ2 to identify the predetermined precoding matrix of 201228306. The transmitting communication device can calculate the parameters from the precoder 3 of the codebook item 305 identified by the received index. Generating a predetermined precoding matrix that best fits the perfect precoding matrix Since the codebook table 3 20 includes only two actual parameters for each item, the table 3 20 requires less space than the code book table 310 of the 3A figure. The code book length m is determined to be assigned to be transmitted from the receiving communication device to the communication device. The minimum number of data bits in the codebook index information. For example, the length of the codebook of the '64, 128, and 256 items is at least five, six, seven, or eight data bits for the codebook index. Give the binary 値 of the corresponding project.

From 値v2, the precoder control element in the transmission communication device can construct the precoding matrix or the code vector V codebook V2 according to equation (12) or (13). The codebook is sent, and the 32 signal needs to be straight. Pre-programming (12) (13) V=P\ 丐]= y = v2] = V1 ~V2 -V2 V1 V1 * V2 -V2 ~V1. According to an embodiment, the codebook item is based on a linear scale The pre-coded matrix is predetermined by a uniformly distributed pre-quantization indicated on the coordinate points of the intermediate space configuration of the axis space. According to other embodiments, the precoding matrix is predetermined by the nature of the codebook item root channel. For example, a codebook table can be designed based on the nature of the statistical evaluation of the real channel. For example, the codebook table defines the first row of one of the codebook tables in Tables 1 to 6, and the second, -18- code code is pre-transmitted to include at least one of the 201228306 and the fourth row. . According to another embodiment, each communication device can improve its codebook by adapting its self-training program. According to other embodiments, the codebook table can be designed to optimize both Vi and the orthogonal V2, so that the codebook search algorithm searching for the best codebook item corresponding to the individual perfect precoding matrix in the codebook table can check the reservation. The precoding to -_ quantity is closest to the first row vector Vl or the second row vector V2. For example, the codebook table includes a first row of one of the codebook tables defined in Tables 7 through 12, and at least one of the second, third, and fourth rows. According to an embodiment, a uniformly distributed codebook may be defined for the case of including or not including orthogonal vectors. The elimination of orthogonal vectors always maximizes the SNR over the same and the same transmission path. According to an embodiment, the codebook table contains the following items (A): (A)

Vi Lv2. 0 In this case, the precoding matrix is a unit matrix and no precoding is performed. A spatial multiplex method can be applied. According to another embodiment, the codebook table additionally or alternatively contains the following items (Β): In this case, the logical path is reversed. In addition to the non-advanced -19-201228306 step precoding, the spatial multiplexing method can be applied. According to yet another embodiment, the codebook table is otherwise or instead of the item (C): (C) vl Lv2. Τι 1 • V2 In this case, the MISO mode is applied, and only in two transmissions The energy is evenly distributed between the crucibles. According to an embodiment, the precoding scheme is applied to a communication system of the type. According to other embodiments, in a precoding scheme wave mode, for example, in a communication system using OFDM, the preamble receiving device configured to precode the multicarrier signal includes decoding 4A configured to decode the multicarrier signal. The figure refers to an embodiment of the codebook memory codebook control unit 183 assigned to the stored codebook table (the item of which has, for example, two separate precoders). By using one of equations (13), each item has two precoders constructed with a precoding matrix that is approximately adapted to simultaneously transmit the perfect precoding matrix V of the two transmitting communication devices. The codebook control unit 1 83 utilizes the fact that if the forced-zero reception of the receiver unit is normalized, the SNR depends on both the pre-encoding matrix of the equalizer moment. Therefore, a single carrier is sent from the equalizer moment to embed a multi-loaded transmit unit and a connector unit. Each of the precoding matrices defined in the codebook table for the pre--20-201228306 can be used in the equation (12) of the unit 188 and the codebook table to allow the signal to be transmitted, respectively. Export the parameter w that reflects the SNR (or wi and W2 for different logical paths). Thereby, the maximum 値 of the individual parameters w, wl, w2 represents the one of the predetermined precoding matrices that would result in the lowest SNR when applied to the channel. The parameter calculation unit 410 receives a 界定 that defines the channel matrix Η or its derivative (eg, the derivative of the equalizer matrix or the equalizer matrix). If a zero-forcing detection is applied, the equalizer matrix is a pseudo-inverse matrix of the channel matrix ,, wherein the pseudo-inverse matrix can be obtained by decomposing the QR decomposition channel matrix into an orthogonal matrix Q and an upper triangular matrix R. According to an embodiment, the parameter calculation unit 410 receives 値 defining the inverse matrix ΙΓ1 of the upper triangular matrix R as an input. According to other embodiments, such an embodiment that does not provide equalization or QR decomposition for other purposes, a congruger matrix may be used as input. From the equalizer matrix or matrix R·1, the parameter calculation unit 410 calculates the parameters Ρ1, Ρ2, and Ρ12 describing the real channel. From the parameters PI, Ρ 2, and Ρ12, the search indexing unit 490 calculates a parameter w1 for a predetermined codebook item stored in the codebook table in the codebook memory unit 188, whereby the record is identified when the parameters PI, Ρ2, and Ρ12 are combined. The codebook index of the codebook item that produces the smallest parameter wl. The search index unit 490 outputs the recorded codebook index Codelnd. According to an embodiment, the search indexing unit 490 calculates a parameter wl for all codebook items. According to other embodiments, the search indexing unit 490 calculates a parameter w1 for a pre-selected subset of all codebook items. In Fig. 5A, the black squares 052 represent predetermined precoding moments - 21, 2012, 306 Arrays, which are defined by their precoders lV1 and φ2 in the orthogonal coordinate system 500, where Vl is plotted at the level The axis plots φ2 on the vertical axis. Contours 551 and 552 show the same pair of 値 and φ2 that cause |wl|2, where black outline 551 represents the high 卜 of 1|2 and bright outline 552 represents the low of |wl|2. In a multi-carrier system, contours 551 and 552 vary from channel to channel. The illustrated codebook table contains 128 items. Bright color square 5 04 refers to 値 φ2 ± 2. π. The codebook control unit 183 of Fig. 4 outputs a codebook index Codelnd identifying the codebook item closest to the perfect precoding matrix (which is indicated by diamond 506 in Fig. 5). The hexagonal star 508 represents a perfect orthogonal precoding matrix. Figure 4B refers to an embodiment of the codebook control unit 183 wherein the search indexing unit 490 processes and checks only a subset of all codebook items. The 'codebook control unit 183' contains a lookup table memory unit 183b that stores a lookup table, wherein each item of the lookup table is assigned to one of the plural possible combinations of the quantized precoders. Each lookup table entry contains a predetermined number of codebook indexes, wherein the predetermined number of codebook indexes is less than the total number of codebook items. According to an embodiment, the predetermined number of codebook indices is between two and twelve ', for example four. Each lookup table entry contains a codebook index identifying the codebook item of the precoder having the combination of the quantized precoders that are closest to the individual lookup table. The codebook search unit 183a includes a coarse quantizer unit 450 that receives at least a subset of the parameters PI, P2, and P12, for example, parameters P1 and P12. Based on these parameters, the coarse quantizer unit 450 calculates the quantized version of the -22-201228306 US precoding matrix with coarse quantization to obtain a combination of the quantized precoders 値v1Q and (P2Q, where the quantized precoders 値V1Q and CP2Q The combination represents a coarsely quantized perfect precoding matrix. One of the items of the combined preamble 値 combination identification lookup table contains items identifying the codebook tables representing those predetermined precoding matrices that are closest to the quantized perfect precoding matrix. The coarse quantizer unit 45 0 selects, in the lookup table memory unit 183b, the one of the lookup table entries addressed by the combination of the resulting quantized precoders 。 The codebook memory unit 188 reports the perfection that is closest to the coarse quantization. A predetermined number of selected codebook indices of those codebook items of the precoding matrix. The coarse quantizer unit 45 0 outputs the selected codebook index to the search indexing unit 490. The search indexing unit 490 performs the calculation of the parameter wl and is only for the selected codebook The codebook item identified by the index searches for a codebook index identifying the codebook entry having the smallest parameter of parameter wl Figure 4C shows details of one embodiment of the coarse quantizer unit 450. The first sub-unit 45 1 can derive the angular information φ and the absolute 値 of the parameter Ρ 12 received from the parameter calculation unit 41. From the angle information φ, the second Sub-unit 452 derives the quantization angle (p2Q. From the absolute 値 of Ρ12 and another parameter Ρ1 output by parameter calculation unit 410, the third sub-unit 453 derives the quantized pre-coded 値v1Q. Since quantization 値 (P2Q and v1Q define the quantization perfect pre- The coding matrix VQ, the coarse quantizer unit 450 identifies the entries in the lookup table 183b. Each entry in the lookup table 183b contains a predetermined number (e.g., four) of binary 値 (codebook index) representing a near-quantized perfect precoding matrix. A codebook entry for a predetermined precoding matrix of the VQ. The lookup table 183b includes a codebook index subset for each possible quantized precoding matrix Vq every -23-201228306, wherein the codebook index identification represents the closest to the quantized precoding matrix Vq. The codebook items of the predetermined precoding matrix. According to an embodiment, wherein the receiving communication device applies the singularity decomposition, the receiving communication device can directly calculate The precoder 値 of the precoding matrix is quantized. Next, the preamble 値 of the perfect quantized precoding matrix can be used to access the lookup table 183b and the coarse quantizer unit 450 can be omitted. Figure 5B shows one of the 5A in more detail. The black diamond 506 marks the position of the perfect precoding matrix. The cross 522 marks the position of the possible quantized precoder 。. The five-pointed star 524 marks the position of the coarsely quantized perfect precoding matrix, which is mapped to the possible quantized precoder. In one of the positions, the solid square 526 marks the four codebook items contained in the lookup table item identified by the coarsely quantized perfect precoding matrix marked by the five-pointed star 524. The precoder 値 contained in these four codebook items is checked in relation to the parameter wl. The search in these four codebook items provides a codebook item marked by a solid square of number 1 as a codebook item identifying the best approximation of the (non-quantized) perfect precoding matrix available in the codebook table. . The codebook control unit outputs a codebook index identifying the codebook item as the obtained codebook file f Codelnd. For comparison, reference circle 528 shows the order of the best (number 1) codebook items that approximate the perfect precoding matrix, the suboptimal (number 2) approximate perfect precoding matrix, and the like. Fig. 6A refers to an embodiment regarding the transmitting side. The communication device 1 - 24 - 201228306 includes a transmitter unit 110 - a data source, for example, a control unit of the communication device 1 'outputs a main stream containing payload data to the editing unit 111 of the transmitter unit 110. The editing unit lu can insert code redundancy according to the error correction scheme to assist in error correction on the receiver side. The editing unit U1 may split the main stream into at least two supplementary streams or double the stream ', for example, 'double' into two or more identical streams. According to an embodiment, the editing unit 111 can insert training symbols and/or synchronization sequences in each output stream. According to other embodiments, the training symbols and synchronization sequences are later inserted into the precoded data stream. The modulator unit 112 receives and modulates each stream of data output by the editing unit ill, e.g., by using a complex subcarrier and QAM (Orthogonal Amplitude Modulation), respectively. The modulator unit 112 can adapt the QAM scheme accordingly using constellation data describing frequency dependent channel characteristics. The constellation control unit 181 can derive the constellation data ConDat from the feedback information that can be received via the receiver unit as described in relation to Figures 2A and 2B. Precoder unit 114 precodes the modulated data signal using a precoding matrix or precoding vector V provided by precoder control unit 184. The precoder control unit 184 can configure the parameters of the precoder unit 114. For example, the precoder control unit 184 may provide a precoding matrix or precoding vector V based on the codebook index information received via, for example, the receiver unit. According to an embodiment, the precoder control unit 184 receives binary identities that identify items stored in the codebook table in the codebook memory unit 188. The codebook returns the precoder 値, from which its precoder control unit 184 derives the precoding matrix or vector that best matches the perfect precoding matrix or vector. For example, -25- 201228306, the codebook returns the parameters v! and φ2. From Vi and φ2, the precoder control unit 184 can calculate Re{v2} and Im{v2}. Next, precoder control unit 184 can construct a precoding matrix or vector V based on equation (12) or (13). The most-equivalent unit 119 of the transmitter unit 110 can use, for example, OFDM modulated precoded data streams onto the frequency carrier. The finalization unit 119 can combine the orthogonal signals and perform an inverse Fourier transform to obtain a digital output signal describing the transmitted signal in the time domain, convert the digital output signal to an analog transmission signal, and couple each analog transmission signal to a corresponding interface. The 10 1° precoder unit 114 and the precoder control unit 184 are adapted to apply different precoding matrices to different subcarriers. According to an embodiment, precoder control unit 184 receives a codebook index for each subcarrier and applies the corresponding precoding matrix for each subcarrier. According to another embodiment, each codebook item is assigned to a plurality of subcarriers, and the precoder control unit 184 controls the precoder unit 114 to be near the pilot subcarrier for which an individual predetermined precoding matrix is selected for A predetermined number of adjacent subcarriers are applied with the same precoding matrix to reduce the burden caused by the feedback of the codebook index. For example, precoder control unit 184 may use the same codebook index for all subcarriers included in a group of adjacent subcarriers. According to a further embodiment, the codebook index is transmitted for a pilot subcarrier representing a subset of all available subcarriers, and the precoder control unit 184 interpolates the precoding matrix of the subcarriers between the pilot subcarriers to A better matching precoding matrix is obtained under the low return -26-201228306 feed burden. Figure 6B refers to an embodiment of the interpolation that provides a precoding matrix. Figure 6B shows the pilot subcarrier 602 of the individual codebook index known to the precoder control unit and the other subcarriers 604 for which the codebook index is not transmitted. According to an embodiment, the guided subcarriers are evenly distributed. In the case of a total of N subcarriers and K pilot subcarriers, the number of subcarriers between the two successive pilot subcarriers is N/K-1. The precoder control unit calculates the subspace angle between the pilot subcarriers. Since (4) represents the precoding vector of the cth leading subcarrier, equation (14) gives the subspace angle of the first two pilot subcarriers: (14) φ

K

=—arccos N \

The calculation of the other pilot subcarriers and subcarriers is similar and can be derived from equation (14) simply by selecting individual subcarrier indices. In view of the square r-orth program (14), 1 1 'and 1 is a vector orthogonal to vi according to the calculation of the second line in equations (12) and (13), which can be calculated based on equation (15) Precoding vector of the subcarrier between the pilot subcarriers: (15) 5 (w) = 5 (9) * cos(w » - (9) * sin(w =» Typically, the interpolated precoding vector & A project Vl is not -27-201228306. According to this, the precoder control unit can derive such a precoding matrix based on interpolation of ^ and φ2 based on the following equations (16) and (17). In one embodiment, the interpolated precoding vector V1 can be phase rotated to cause V! to become real, such that the precoder control unit can construct the precoder control unit based on equations (12) and (13). 17) ^ = [v, v2] = V1 ~ V2 - V2 - pi 巧] = V1 - V2 V2 * According to the embodiment, the pilot subcarrier is a subcarrier for interpolation. This pair is fed back from the receiving communication device The codebook of the carrier is indexed to the transmitting communication device. Based on equations (14) and (15), the transmitting communication device is interpolated so that it does not feed back the codebook index information. Beamforming vectors of carriers (i.e., subcarriers that direct subcarriers). Elements of the above embodiments, such as precoder and decoder units, precoder and decoder control units, codebook control units, and the like The subunits of the unit may be only hardware, such as by integrated circuits, field programmable gate arrays (FPGAs), special application integrated circuits (ASICs), or digital signal processors (DSPs); only by, for example, DSP Or a software implemented in a computer program; or a combination of hardware and software in various forms. According to a method of operation such as a communication system of a PLC system, the evaluation of the beamforming vector is part of the channel estimation procedure. Bit 28 - 201228306 loading similar, different beamforming vectors can be used at different times within the AC line cycle. The code can be transmitted from the receiving communication device in a new message type or in a way that can be integrated into an existing message type. The book is indexed to the transport device. According to an embodiment, the type CM_CHAN_EST.IND (sent to the link manager or sent from the link manager) The code index is sent in the message indicating the message. The new or adapted existing message may include other information, such as dedicated information. Bits or flags, which are used to indicate that the beam should be applied or spotted. Mode of operation. In spot beamforming, the second of the two logical paths does not carry information. All physical transmission paths are used to apply spot beamforming. According to an embodiment, if the receiving communication device is connected to no additional Spot beamforming can be applied to an exit of the ΜΙΜΟ path (for example, only the live and neutral lines are connected). Alternatively, spot beamforming may be applied when the SNR of most of the carriers on the second transmission path is so low that little or no information is transmitted via the second logical path. Alternatively, spot beamforming can be applied when the receiver modem is implemented at a low cost with only one logical receive path or only one decoder. According to an embodiment, the message of type CM_CHAN_EST.IND includes information bits indicating that spot beam shaping will or should be used. According to another embodiment, a channel for transmitting a channel (which is connected to a receiving communication device and a transmitting communication device that establishes a communication link with the receiving communication device) is used to estimate and identify a receiving communication device that best matches the predetermined precoding matrix to transmit a corresponding code book. Indexing to the transmitting communication device and temporarily or permanently using the same precoding matrix to precode the data stream transmitted to the transmitting communication device. Example -29- 201228306 For example, in the case of a symmetric differential channel, the precoding in each direction is the same. Usually all PLC channels are symmetrical, where these channels are identically terminated. Instead, the CM path is used on the receiving side in the common mode (C Μ ). Because of the statutory constraints, it is not possible to send, so that the transmit signal estimate or codebook table cannot be applied based on the received signal in the CM. Here, a non-coding matrix must be applied for both communication directions. Accordingly, an embodiment proposes that messages exchanged between the transmitting and receiving communications contain information as to whether or not to execute a codebook between devices. For example, the message of type CM_CHAN_EST.IND may indicate whether the code-forming information bits or flags respectively derived from the sides of the codebook will be or should be exchanged between the transmitting and receiving communication devices.

According to an embodiment, the interpolation of the pre-array is performed based on a predetermined pilot subcarrier grid or a step size known to the transmitting and receiving communication device. According to another embodiment, the pilot subcarrier grid or step size can be configured in at least one of the transmit and receive communications. Here, for example, the receiving communication device can transmit a command to direct the subcarrier step information, for example, by transmitting a binary 指示 indicating the number of waves between adjacent pilot subcarriers. For example, type CM_CHAN_EST. The IND may contain information bits indicating whether or not to use the interpolated flag. For example CM_CHAN_EST. The IND message may contain a data field indicating the number of subcarriers between adjacent boots. According to an embodiment, the transmitting and receiving communication device uses a predetermined matrix to be available on both sides, and only the CM-fed channel is exchanged with the pre-device of the pre-device containing the index or vector (the size of the carrier in the case of the raster coding moment device) The message, type subcarrier resolution -30- 201228306 or the length of the code book. According to another embodiment, at least one of the transmitting and receiving communication devices stores codebooks of different lengths or resolutions. In this case, for example, the receiving communication device can transmit a message indicating the resolution or length of the code', e.g., by transmitting a binary 指示 indicating the length or resolution of the codebook. For example 'type CM_CHAN_EST. The IND message may contain a data field indicating the length or resolution of the code book. Depending on the information in this data field, select the appropriate codebook. According to yet another embodiment, the transmitting and receiving communication device supports both beamforming and the Alamouti scheme and both can be allowed to switch between the beamforming mode and the Alamouti mode. For example, when the receiving communication device supports only one physical receiving path or when the receiving communication device is only connected to a receiving path (eg, connected to a PLC device having only one receiving path (eg, no connection to the protective ground)) , Alamouti mode can be applied. In order to coordinate the switching between modes of operation, for example, the receiving communication device can send a message indicating that the Alamouti scheme will or should be applied. For example, the type CM_CHAN_EST. The IND message may contain information bits or flags indicating changes in the mode of operation or the mode of operation of the request. Figure 7 is a diagram of a method of operating a communication system including first and second communication devices connected by a wired transmission channel. Both of the communication devices store the same codebook table containing the complex digital book items, wherein each codebook item includes at least one predetermined precoder 针 for each of the at least two transmitted signals. The first communication device identifies one of the codebook items in the codebook table based on the channel state information describing the transmission channel, and the precoder 値 is best among all or a subset of the codebook items -31 - 201228306 Approximate a perfect precoding matrix for beamforming transmitted signals. The associated codebook item is given a codebook index (702) = the first and/or second communication device can use the codebook index based on the precoder assigned to the codebook entry identified by the codebook index A precoding matrix (704) for beamforming the individual transmitted signals is constructed. BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is a schematic block diagram showing a wired communication system having two communication devices according to an embodiment. Figure 2 is a schematic block diagram showing a communication device having a decoder unit and a codebook control unit, in accordance with an embodiment. Figure 2 is a schematic block diagram showing a communication device having a decoder unit and a codebook control unit using a lookup table in accordance with another embodiment. Figure 3 is a diagram showing an unintentional block diagram of a codebook table having three precoders per item, according to an embodiment. Figure 3 is a schematic block diagram showing a codebook table having two precoders per item according to another embodiment. Figure 4 is a schematic block diagram of a codebook control unit in accordance with an embodiment of a search provided in all of the items in the codebook table. Figure 4 is a schematic block diagram of a codebook control unit in accordance with another embodiment of a search including a quantizer unit and providing only a subset of all items in the codebook table. Figure 4C is a block diagram of the schematic area -32 - 201228306 of the quantizer unit of Figure 4 in more detail. Figure 5A is a diagram showing the distribution of codebook items in a two-dimensional coordinate system and the enthalpy derived for each codebook item based on an equalizer matrix in accordance with an embodiment. Figure 5B is an area of the Figure 5A diagram for illustrating details of an embodiment of a codebook search based on a lookup table. Figure 6A is a schematic block diagram showing a communication device having a precoder unit configurable by items in a codebook table, in accordance with an embodiment. Figure 6B is a schematic diagram showing a sequence of subcarriers for illustrating details of one embodiment of interpolation with respect to a precoding matrix for subcarriers between pilot subcarriers allocated to codebook entries. Figure 7 is a simplified flow diagram showing one method of operating a communication system in accordance with other embodiments. [Description of main component symbols] 1〇〇: Communication device 1〇1: interface 埠1 1 0 : Transmitter unit 1 1 1 : Editing unit 1 12 : Modulator unit 1 14 : Precoder unit 1 1 9 : Final Unit 120: Receiver unit 121: Input signal processing unit -33- 201228306 1 2 2 : Equalization 124: Decoding 127: Demodulation 1 2 8 : Solution 1 50: Channel 1 8 1 : Constellation 1 82 : Pseudo-reverse 1 83 : Codebook 1 83 a : Code | 183b : Checking 1 8 4 : Pre-editing 1 8 8 . Codebook 1 8 9 : Decoding 1 9 0 : Control 1 99 : Communication 3 0 0 : Transmission 305 : Item 310 : Codebook 410 : Parameter 4 5 0 : Rough 4 5 1 : First 452 : Second 453 : Third Unit unit unit transformer unit estimation unit control unit to unit unit control unit search unit D table memory unit code unit control unit memory unit unit control unit unit system channel table calculation unit quantizer unit subunit unit unit subunit 490: Search index unit 201228306 500: Orthogonal coordinate system 5 5 1 : Outline line 5 5 2 : Outline line 602: Guide subcarrier 604: Other subcarriers 201228306 Table 1 (5 bits) vl Real (v2) +0. 5429118123 +0. 7325414029 +0. 8890378263 +0. 1804094684 +0. 8520230127 -0. 4242616312 +0. 9583699224 +0. 2622585825 +0. 7845428042 -0. 1379849364 +0. 7208801863 +0. 2438249187 +0. 7895094007 +0. 5132647486 +0. 3678133423 -0. 2445837675 +0. 4194919393 -0. 7898742375 +0. 2789402854 -0. 0495744116 +0. 9493270518 +0. 2248511744 +0. 8349743073 +0. 2006290213 +0. 6437778772 -0. 5296176025 +0. 7515049899 +0. 5231669119 +0. 3154816246 +0. 6055763516 +0. 9339951934 -0. 1163966601 +0. 6058703520 -0. 6968905692 +0. 9974148629 -0. 0662278106 +0. 3545051951 -0. 8948992442 +0. 6921350912 -0. 7194854156 +0. 5307601623 -0. 0547795048 +0. 0383121179 -0. 9477381321 +0. 5156760692 +0. 6028865201 +0. 9526501184 -0. 0948727896 +0. 5971425452 +0. 2532717747 +0. 8469389995 +0. 5256289112 +0. 6289801775 +0. 7730414887 +0. 5914770000 -0. 3603891509 +0. 9177609510 -0. 3969777000 +0. 7726056604 -0. 1260646301 +0. 8190726488 -0. 4597451218 +0. 3091478225 +0. 9343053665 imaginary (v2) angle (v2) +0. 4106456589 +0. 5109272538 -0. 4207899322 -1. 1657621497 -0. 3066901598 -2. 5156755927 -0. 1129049504 -0. 4065284205 -0. 6045268776 -1. 7952046406 -0. 6487535480 -1. 2112929532 -0. 3365029034 -0. 5803107874 +0. 8971578043 +1. 8369491567 -0. 4473535535 -2. 6262754399 -0. 9590279948 -1. 6224427089 +0. 2195907514 +0. 7735626971 +0. 5124118481 +1. 1976054683 -0. 5523180606 -2. 3352162299 +0. 4019162007 +0. 6550710142 +0. 7305810201 +0. 8786819854 +0. 3377940144 +1. 9026334400 +0. 3837507669 +2. 6382417583 +0. 0278831213 +2. 7430993563 +0. 2710745457 +2. 8474676471 -0. 0573563622 -3. 0620422954 -0. 8457498779 -1. 6354763166 +0. 3167406110 +2. 8190561069 -0. 6087742074 -0. 7902573132 -0. 2888890891 -1. 8881053686 +0. 7611006431 +1. 2495524869 +0. 0800535994 +0. 1511391618 -0. 0824062679 -0. 1061990035 +0. 7213006436 +2. 0341542272 +0. 0111149657 +3. 1136009993 +0. 6222444877 +1. 7706873855 +0. 3431536377 +2. 5003996982 -0. 1774855095 -0. 1877283626 -36- 201228306 Table 2 (6-bit) vl Real (v2) +0. 5370545358 -0. 1855474350 +0. 8384124707 -0. 5446977253 +0. 8726365170 +0. 4878962574 +0. 9959431368 +0. 0562311975 +0. 7124662060 -0. 6820405895 +0. 8001176514 -0. 5483103928 +0. 8070029620 +0. 3346201991 +0. 2687047193 -0. 8360541367 +0. 9440520070 -0. 1127762428 +0. 8799164606 -0. 1312542481 +0. 9282229308 -0. 3569673078 +0. 9183604277 +0. 2674778994 +0. 8824289340 -0. 3105185571 +0. 3732044063 -0. 4735026723 +0. 9686776061 -0. 1346593940 +0. 8308013261 -0. 0839352753 +0. 5653353832 +0. 3581176545 +0. 5214077647 -0. 6653388823 +0. 3265207182 +0. 9156699443 +0. 9868755405 -0. 1581712059 +0. 5173607870 +0. 8517732567 +0. 1869679277 -0. 2939958967 +0. 7555948274 -0. 2232625836 +0. 0600016333 -0. 4871113467 +0. 8487683522 +0. 2738351930 +0. 6649767787 +0. 4177867256 +0. 9367940037 +0. 0350272498 +0. 2945556475 -0. 8789475759 +0. 9824201600 +0. 0606530887 +0. 5403210814 +0. 6950135216 +0. 8030958367 +0. 0480358982 +0. 7171617233 +0. 1056318437 +0. 7172625048 +0. 6951466795 +0. 2899682464 +0. 4920228933 +0. 7252078766 +0. 3248125960 +0. 7344223090 +0. 5850292197 +0. 5836664489 -0. 7730405125 +0. 9401761036 +0. 2553869953 +0. 8866466031 +0. 1075855428 +0. 1412279570 +0. 8632288323 +0. 5958421040 +0. 7641504586 +0. 6396444809 -0. 5569270499 +0. 6531713929 +0. 0203413973 +0. 5135078730 -0. 7875611786 +0. 7843161996 -0. 3784187351 +0. 3611153600 +0. 4452488515 +0. 8294727167 -0. 5076319558 +0. 2973638436 -0. 2072267913 +0. 9589399172 +0. 2801736008 +0. 5015828956 +0. 6652934310 +0. 8485421665 +0. 4866646919 +0. 4473921579 -0. 0404210742 +0. 7029118578 -0. 2195961595 +0. 8305397871 +0. 4858567340 +0. 5821292785 -0. 3527594192 Virtual (v2) angle (v2) -0. 8228879480 -1. 7925706697 -0. 0192072159 -3. 1063451024 +0. 0215116531 +0. 0440620922 +0. 0702518373 +0. 8957974147 +0. 1649622365 +2. 9042843163 -0. 2432436167 -2. 7240536962 -0. 4865958711 -0. 9683896224 -0. 4783421937 -2. 6219084317 -0. 3099150323 -1. 9197949218 +0. 4566391844 +1. 8506864428 +0. 1047689456 +2. 8561122523 -0. 2916671017 -0. 8286322600 -0. 3534082654 -2. 2916840746 +0. 7978180811 +2. 1064205205 +0. 2086397447 +2. 1439421792 -0. 5502036225 -1. 7221822663 +0. 7430663834 +1. 1216961899 +0. 5342828040 +2. 4650107889 -0. 2343774170 -0. 2505827623 -0. 0325351671 -2. 9387263226 +0. 0825841102 +0. 0966534058 +0. 9373416702 +1. 8747272584 +0. 6158167549 +1. 9186049508 -0. 8712762707 -2. 0805824428 +0. 4523345790 +1. 0264288991 -0. 6190800722 -0. 9771491177 +0. 3481236653 +1. 4705165620 +0. 3750841630 +2. 7382471375 -0. 1765554645 -1. 2398919992 +0. 4743514877 +0. 5988888616 +0. 5939104559 +1. 4900912952 -0. 6888548296 -1. 4186374529 +0. 0480165931 +0. 0689645026 -0. 8208726385 -1. 0308254386 +0. 6070999202 +1. 0795242146 -0. 3440416896 -0. 5316057733 +0. 2484790582 +2. 8305923204 +0. 2254914118 +0. 7233093752 -0. 4497589934 -1. 3360012009 +0. 4846551839 +0. 5115873860 -0. 2470754210 -0. 3127238440 -0. 5297992065 -2. 3811522112 +0. 7569368263 +1. 5439294839 -0. 3406714755 -2. 7333317927 -0. 4915764029 -2. 2268535887 +0. 8193589915 +1. 0730257666 +0. 2329910077 +2. 7112992043 -0. 9320041853 -1. 7895825975 -0. 0440112331 -0. 1558123060 -0. 5529911839 -0. 6934773017 -0. 2076864689 -0. 4033559970 +0. 8934239720 +1. 6160083759 -0. 6765297088 -1. 8846591974 +0. 2722992764 +0. 5108321886 +0. 7325887628 +2. 0195545723 -37- 201228306 +0. 4238950361 -0. 9056675283 +0. 0089065525 +3 +0. 9245914011 -0. 3594312596 -0. 1262533592 -2 +0. 6591708476 -0. 7365179258 -0. 1517733131 -2 +0. 8724454181 -0. 3288260032 +0. 3615417710 +2 +0. 7213952222 -0. 5080642040 +0. 4705950468 +2 +0. 6907592035 +0. 5969629956 +0. 4080280684 +0 +0. 4988766087 +0. 2143087516 -0. 8397582321 -1 +0. 3432442229 +0. 8496337693 +0. 4003821443 +0 +0. 4443477116 -0. 5684575522 -0. 6923952069 -2 1317587299 8037969329 9383686453 3088410186 3944620132 5995704991 3209268257 4403767466 2582125646 -38- 201228306 Table 3 (7-bit) vl Real (v2) +0. 6317736337 +0. 7238481520 +0. 6106276958 -0. 3125280924 +0. 6950914471 -0. 6157145944 +0. 6100571752 -0. 0333070436 +0. 5995506391 +0. 7258933546 +0. 5981134001 +0. 1640861692 +0. 6301042649 -0. 7648413642 +0. 3013116427 +0. 5158354554 +0. 7538002344 -0. 6253031951 +0. 5882469008 +0. 2375951112 +0. 7126897012 +0. 6899172353 +0. 8497712596 +0. 0281703101 +0. 9093227347 +0. 3992401893 +0. 4829533864 +0. 7262484516 +0. 9383003240 -0. 0318738915 +0. 7749910322 -0. 6270158022 +0. 1993472259 -0. 9154479748 +0. 3652433356 +0. 9289266539 +0. 1080676645 -0. 8526190750 +0. 3483369396 +0. 6361832923 +0. 9980685734 +0. 0474729116 +0. 4913681458 -0. 8671896177 +0. 5601156584 -0. 5087949528 +0. 9635567540 -0. 1774140601 +0. 3259274700 +0. 8407719365 +0. 3574216567 -0. 2358272879 +0. 4961731867 +0. 7641439340 +0. 3516886085 +0. 2254711463 +0. 2463405697 +0. 9423449983 +0. 5919203439 -0. 7517513017 +0. 0490053971 +0. 9648624124 -fO. 4663774743 -0. 8165043860 +0. 8239821537 +0. 5107919419 +0. 4863184928 +0. 0914979337 +0. 9335120204 +0. 1960111899 +0. 8006009055 +0. 0384095462 +0. 7179148968 -0. 2762553914 +0. 3715729080 +0. 8699346223 +0. 5633144111 -0. 6413080554 +0. 9488441314 -0. 3013187162 +0. 8448396019 +0. 4592951402 +0. 8511158488 +0. 2577531481 +0. 7953101618 -0. 5571693454 +0. 8806153808 -0. 4713095859 +0. 9673344247 +0. 2209276586 +0. 7594503312 -0. 4188442250 +0. 8791381839 -0. 4171842780 +0. 9021693959 -0. 3294772655 +0. 6046827111 +0. 7963828109 +0. 5864926108 +0. 6299381353 +0. 9458872731 +0. 1263919973 +0. 4556689198 -0. 8745251554 +0. 8007902108 -0. 4397364589 +0. 4043567632 -0. 3405656790 Virtual (v2) angle (v2> +0. 2773191817 +0. 3658686672 -0. 7276400268 -1. 9764801068 -0. 3711380046 -2. 5991344475 -0. 7916570494 -1. 6128440951 -0. 3370724979 -0. 4347275404 +0. 7844336107 +1. 3645916468 -0. 1341130231 -2. 9680098305 +0. 8019507946 +0. 9991980235 -0. 2019433603 -2. 8292135728 -0. 7729903925 -1. 2725906082 +0. 1268368958 +0. 1818134420 -0. 5263983662 -1. 5173321332 -0. 1172153375 -0. 2855712936 -0. 4892026299 -0. 5927888406 +0. 3443494692 +1. 6630959506 +0. 0789942015 +3. 0162685341 -0. 3495936054 -2. 7768016639 +0. 0607665825 +0. 0653228388 +0. 5112358486 +2. 6014626201 -0. 6884273347 -0. 8248187874 +0. 0400680104 +0. 7010111648 -0. 0808672510 -3. 0486094595 -0. 6537569466 -2. 2321418603 -0. 2002064761 -2. 2959096382 +0. 4322890642 +0. 4749092301 -0. 9036787314 -1. 8260667927 +0. 4121846878 +0. 4946741313 -0. 9085581351 -1. 3275466936 -0. 2264999511 -0. 2358832468 -0. 2906893305 -2. 7726190352 +0. 2581453005 +0. 2614233805 -0. 3403125609 -2. 7466946780 +0. 2452447805 +0. 4476228350 -0. 8689778200 -1. 4658891309 +0. 3002247844 +0. 9923981548 +0. 5979656318 +1. 5066507488 -0. 6389688252 -1. 9788723165 -0. 3242642858 -0. 3567927295 +0. 5209614691 +2. 4593712771 +0. 0943495919 +2. 8381410036 -0. 2743975604 -0. 5385290393 +0. 4573457406 +1. 0575831198 +0. 2388389983 +2. 7366218170 +0. 0488244326 +3. 0383677323 +0. 1243184637 +0. 5125498685 -0. 4977998690 -2. 2702710188 +0. 2303765000 +2. 6370484666 -0. 2784512750 -2. 4399324066 +0. 0115428480 +0. 0144930800 +0. 5091211675 +0. 6797259419 -0. 2988684152 -1. 1707041964 +0. 1660469456 +2. 9539552377 +0. 4066532737 +2. 3952620154 +0. 8488289736 +1. 9523524818 -39- 201228306 +0. 9103782182 -0. 0320116191 +0. 8313017730 -0. 5100030850 +0. 4532876467 +0. 2896524476 +0. 8591974203 -0. 1469751593 +0. 6964405573 -0. 7174431073 +0. 9382208559 -0. 1944106762 +0. 9915754066 -0. 1278243236 +0. 6039404631 -0. 2354148749 +0. 8818169744 -0. 3060645715 +0. 6879346876 +0. 0032447053 +0. 8067555856 +0. 3810920657 +0. 9069527033 +0. 3492839388 +0. 7564516125 -0. 1579564765 +0. 9656793568 +0. 2578122352 +0. 5034726798 +0. 8457730539 +0. 7395360689 +0. 2213624141 +0,7974907213 +0. 6023978161 +0. 8836466089 +0. 0790075989 +0. 5784950444 -0. 6602681825 +0. 9597323722 -0. 2680045189 +0. 2936947163 -0. 5722512380 +0. 5715766722 -0. 7534498454 +0. 9826165920 -0. 1012532525 +0. 8840517465 +0. 4657226280 +0. 5023809145 -0. 4875592891 +0. 8857454044 +0. 1482734448 +0. 4862609003 -0. 0525511146 +0. 5581448706 +0. 4362820549 +0. 4337857134 -0. 6231426179 +0. 8419321901 -0. 2912144414 +0. 4143404761 -0. 7609704892 +0. 1786270657 +0. 8816225713 +0. 1903259722 +0. 5717110973 +0. 3623847908 -0. 9300985091 +0. 1686825679 +0. 0046949336 +0. 4806440138 +0. 4291749302 +0. 6071617024 -0. 7879417707 +0. 7765762773 -0. 0097799293 +0. 6966222961 +0. 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-0. 1765876607 -0. 2058315523 +0. 6356768711 +1. 2356982921 +0. 0335472892 +0. 0556321293 +0. 4614395626 +1. 4012208517 -0. 4789461460 -2. 5140346224 -0. 0841864099 -2. 8372297746 -0. 7656839650 -2. 2126137966 +0. 3249822123 +2. 7343763831 +0. 1556033802 +2. 1476731115 +0. 0394327685 +0. 0844686042 +0. 7140723747 +2. 1698762440 -0. 4398523208 -1. 2456611888 +0. 8722320318 +1. 6309725930 +0. 7057848624 +1. 0171368548 -0. 6507866260 -2. 3344980966 -0. 4542514022 -2. 1408799235 +0. 4992453150 +2. 5609663464 +0. 4368455256 +0. 4600425368 -0. 7980742106 -0. 9491724752 -0. 0599502032 -3. 0772259364 +0. 9856592458 +1. 5660331207 -0. 7647157716 -1. 0593786040 +0. 1024813800 +3. 0122565588 -0. 6299473299 -1. 5863200748 -0. 1373307958 -0. 1926069940 +0. 4355580712 +0. 7984179867 -0. 3497642464 -0. 8469684917 +0. 5587543086 +2. 1103139290 -0. 8364772474 -1. 8579020580 +0. 9417673684 +1. 5259280707 -0. 1430461458 -0. 2480827281 +0. 2070874804 +1. 2455476616 -0. 3887700020 -2. 0000050792 -0. 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-0. 2019574797 +0. 4037938802 -0. 6944383564 +0. 7509560560 +2. 4249235650 -1. 0889420340 -1. 8276912708 -1. 1732900381 +2. 8376545002 -2. 8745372681 +2. 7782636484 -1. 1976199362 -2. 6609246906 -1. 8578962076 +0. 9760580949 -2. 3122894149 -0. 6500872460 +0. 6112535396 -1. 7391476558 +2. 2435538974 -41 - 201228306 Table 4 (8-bit) vl Real (v2) +0. 8909402196 +0. 1356014147 +0. 7801305003 +0. 6194043211 +0. 4605040367 +0. 5304757763 +0. 8690485029 -0. 0927698858 +0. 2074053916 +0. 9586694037 +0. 6311597071 -0. 4454653253 +0. 7297945686 +0. 0011364906 +0. 9287951424 +0. 3106438808 +0. 7315091601 -0. 1623082680 +0. 8654404094 -0. 3451943029 +0. 9774419950 +0. 1461541109 +0. 3226018604 +0. 8665657160 +0. 8812253145 +0. 3074054292 +0. 9015159785 +0. 4281232371 +0. 4098284032 -0. 0399730297 +0. 8038391632 -0. 3492961158 +0. 7316461051 +0. 4716434094 +0. 9596128553 -0. 1086028338 +0. 8995554706 +0. 1153958006 +0. 7776075410 -0. 6264177047 +0. 9307610248 -0. 1810749674 +0. 9468196717 +0. 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4334025627 -1. 2675686224 +0. 0879470833 +0. 1410437709 -0. 7117102521 -0. 9302755722 +0. 4859510756 +1. 7594303962 +0. 1947716047 +0. 2004405101 +0. 6349787934 +2. 1825575309 +0. 6836655586 +1. 5691339796 +0. 2020889972 +0. 5767609083 +0. 6622313605 +1. 8111513275 +0. 3631167733 +2. 3308967820 +0. 1524667908 +0. 8065344596 -0. 3807780187 -0. 4140128292 -0. 3590875203 -0. 8627866424 +0. 0630827576 +0. 1462945119 +0. 9112863638 +1. 6146326264 +0. 4814922878 +2. 1983960637 -0. 4921854033 -0. 8067078443 +0. 2595160734 +1. 9671333351 +0. 4212882203 +1. 3034421193 +0. 0541051895 +3. 0554340997 -0. 3176409464 -2. 0889114937 +0. 0772941582 +0. 2425919904 -0. 8672017646 -1. 7397176424 -0. 7188786578 -0. 8938534078 -0. 1690629175 -0. 3785449666 +0. 4073433897 +0. 5875815068 +0. 3972102203 +0. 4758780472 +0. 5020810606 +0. 7872769194 -0. 5421090233 -1. 5921471523 +0. 4720692373 +2. 6463834473 -0. 0984888200 -0. 1131031978 +0. 0049428307+0. 0452428827 +0. 5951887180 +1. 0531416509 +0. 5249778862 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9336320069 +0. 3559658963 +0. 0402437130 +0· +0. 5897831091 +0. 7047881291 +0. 3942455799 +0.  +0. 8213111575 +0. 4887349747 +0. 2942551733 +0.  +0. 6944845540 +0. 2242368739 +0. 6836731885 +1.  +0. 0941176083 -0. 1249273038 +0. 9876917761 +1.  . 5286215590 . 7900003199 . 0339926106 . 2972762050 • 9718224012 • 9718224012 1869220783 . 8588128994 8514526818 2542334180 4878749858 8462392932 4383453425 6931318852 1522809197 7287920673 5902053391 0679691401 0679691401 2037040127 5097676009 0262893180 3865821482 3711647955 9619836515 0902718241 5737858044 5737858044 9055576717 4793893850 9518401652 7336006767 5449144471 7963866686 5408937413 5408937413 1881687786 1125769604 5100175046 5419439341 2538639026 -73-2012283067 6,966,123,196 (5 yuan table, comprising a pre-orthogonal Optimized codebook for coding vectors) vl real (v2) +0. 8868707849 +0. 4618952503 +0. 9337412276 +0. 3154378798 +0. 7728530345 -0. 2933029007 +0. 5908364455 -0. 7742251893 +0. 7320805228 -0. 6659323432 +0. 4591559629 +0. 5473755421 +0. 9149189768 -0. 0166002174 +0. 6774622269 -0. 0651096162 +0. 8156779110 -0. 0154336120 +0. 3184846599 -0. 5616832483 +0. 3418481620 +0. 9180995345 +0. 5428840615 +0. 7413848505 +0. 7102884428 -0. 2509334044 +0. 1857306992 -0. 4508656337 +0. 9718577907 -0. 1058940388 +0. 5027996612 -0. 7542386322 +0. 1499672138 +0. 9347809800 +0. 8503001398 -0. 0440620252 +0. 9971360769 +0. 0490047775 +0. 5231794805 -0. 6413996163 +0. 8458055052 -0. 2911356100 +0. 5340994093 +0. 8422806899 +0. 7493379790 +0. 4905209459 +0. 5901007419 +0. 6878083454 +0. 6744282076 -0. 7201708760 +0. 8495796058 +0. 2453837005 +0. 9161147911 +0. 1375686797 +0. 7177634833 +0. 5388733824 +0. 9246319214 -0. 3322668698 +0. 3266361514 +0. 3301758751 +0. 9622781839 +0. 2688055703 +0. 5945174836 -0. 3599055575 imaginary (v2) angle (v2) +0. 0106296123 +0. 0230089754 -0. 1691929785 -0. 4923223792 +0. 5627358132 +2. 0512667191 +0. 2269089044 +2. 8564977180 +0. 1434999035 +2. 9293508553 -0. 6996826550 -0. 9069293985 +0. 4032960434 +1. 6119344737 +0. 7326702321 +1. 6594296933 +0. 5783003970 +1. 5974778742 -0. 7635963921 -2. 2050020425 -0. 2005818509 -0. 2150953002 -0. 3944938520 -0. 4889997522 -0. 6576646216 -1. 9352990092 +0. 8730545732 +2. 0474960045 +0. 2104254910 +2. 0370307348 -0. 4222754863 -2. 6312033994 +0. 3220160775 +0. 3317513924 -0. 5244503887 -1. 6546151027 +0. 0576036098 +0. 8658820513 +0. 5611503929 +2. 4228282412 -0. 4470493305 -2. 1480415080 +0. 0728083816 +0. 0862276017 +0. 4448390663 +0. 7365981182 +0. 4227301674 +0. 5510890174 -0. 1627897483 -2. 9192854755 +0. 4669061287 +1. 0869162737 -0. 3765747574 -1. 2205428942 -0. 4409433748 -0. 6857817215 -0. 1861572915 -2. 6309030913 +0-8856030240 +1. 2139329484 +0. 0420031197 +0. 1550049105 +0. 7190389081 +2. 0348734207 -74- Table 8 (6-bit, including the optimized codebook for orthogonal precoding vectors) vl Real (v2) +0. 9273716336 +0. 3246533257 +0. 6179634900 -0. 6443196655 +0. 9252378169 -0. 3500544499 +0. 2063172598 +0. 9402642101 +0. 4684326185 -0,5812423405 +0. 5214576025 +0. 7581839443 +0. 6727514533 +0. 6667293262 +0. 0742827590 +0. 8689268141 +0. 6779939200 -0. 7349396641 +0. 6113759150 +0. 4314359867 +0. 3450834000 -0. 0841670317 +0. 6026979262 +0. 1399536811 +0. 3737211492 +0. 8311273697 +0. 9650410057 +0. 1846633653 +0. 9956020883 +0. 0843760640 +0. 9004705376 +0. 4304486232 +0. 5054592423 -0. 7433613861 +0. 7517315124 +0. 0868697303 +0. 5323653437 -0. 3010565622 +0. 2316418927 +0. 8436596581 +0. 6616827242 +0. 2893385702 +0. 8850043139 +0. 2329979062 +0. 6296491548 +0. 7593331481 +0. 9534294514 +0. 1085939700 +0. 9739837398 +0. 1956563039 +0. 8572963866 +0. 4511211468 +0. 3403052379 +0. 9400800591 +0. 5760894271 -0. 5287103478 +0. 3725668939 -0. 6946545967 +0. 6080400422 -0. 7619680701 +0. 8826936550 +0. 0604817553 +0. 8111948305 +0. 3547420313 +0. 7071821496 +0. 1016276439 +0. 9304472102 -0. 0705123005 +0. 9917439857 -0. 0699540844 +0. 9921886010 +0. 0446975435 +0. 6290480912 +0. 0352540893 +0. 5882358033 -0. 2193089063 +0. 5157814306 +0. 8165623666 +0. 6173770002 -0. 7567730727 +0. 7676416388 +0. 2850329794 +0. 8618752221 -0. 1827643104 +0. 5237351622 +0. 4154501763 +0. 5709884897 +0. 6656282721 +0. 3754662004 +0. 2783704025 +0. 6994420939 +0. 5165257330 +0. 8736972401 -0. 4849372867 +0. 6981853355 -0. 2960745485 +0. 8118307021 -0. 4117126696 +0. 8697009071 +0. 0253589194 +0. 6794415446 +0. 6767880977 +0. 2983577584 +0. 5711668848 +0. 7029961458 -0. 4987729573 +0. 6238415094 +0. 7762419139 imaginary (v2) angle (v2) -0. 1859625535 -0. 5201819671 -0. 4505255750 -2. 5313858069 +0. 1462766701 +2. 7457780643 +0. 2708069488 +0. 2804222500 +0. 6653782559 +2. 2888054902 -0. 3914576291 -0. 4766099730 -0. 3207452067 -0. 4483913547 -0. 4893345108 -0. 5128816723 +0. 0137089248 +3. 1229416870 +0. 6633871267 +0. 9941728023 +0. 9347905422 +1. 6605925785 +0. 7856005199 +1. 3944972033 +0. 4117763933 +0. 4599955185 -0. 1859981152 -0. 7889991421 -0. 0407082489 -0. 4495190692 -0. 0621835487 -0. 1434696414 -0. 4380922322 -2. 6090486293 -0. 6537227113 -1. 4386856415 +0. 7911713387 +1. 9343976939 -0. 4843350234 -0. 5211487402 -0. 6917074268 -1. 1746175548 +0. 4030872611 +1. 0466853431 -0. 1641801209 -0. 2129383253 +0. 2813887542 +1. 2024851898 +0. 1143428413 +0. 5288748765 -0. 2480576876 -0. 5027428912 +0. 0210196913 +0. 0223557443 +0. 6233669386 +2. 2742169561 -0. 6153445383 -2. 4166627526 +0. 2229169514 +2. 8569807984 +0. 4660406298 +1. 4417397777 +0. 4648881997 +0. 9189830414 +0. 6996893806 +1. 4265581951 +0. 3595775360 +1. 7644368019 -0. 1074722892 -2. 1478064033 +0. 1164641993 +1. 2043435946 -0. 7765665768 -1. 5254300934 -0. 7783843802 -1. 8454260033 +0. 2592207889 +0. 3073915108 -0. 2148025976 -2. 8650265240 -0. 5740056751 -1. 1098979044 -0. 4730415504 -1. 9394890231 -0. 7437087003 -1. 0613595583 +0. 4805321510 +0. 6252881577 +0. 8840447112 +1. 2657421999 +0. 4939452646 +0. 7630554035 +0. 0385870528 +3. 0621887330 -0. 6518259730 -1. 9971568015 +0. 4140333186 +2. 3533841309 -0. 4929272334 -1. 5193960771 +0. 2834026434 +0. 3965619712 +0. 7646901579 +0. 9292655465 +0. 5069733287 +2. 3480411520 +0. 0909409817 +0. 1166238335 -75- 201228306 +0. 8869315223 -0. 3097210131 +0. 3892763374 -0. 3901733698 +0. 8391062875 +0. 5437102311 +0. 9148854685 +0. 3907245050 +0. 9611228936 +0. 2737193167 +0. 4095133351 +0. 6036188796 +0. 2359262874 +0. 3414584320 +0. 6328652830 -0. 6531553408 +0. 9782279749 +0. 0196684539 +0. 8540098170 -0. 1010801186 -0. 3426738519 -2. 3057268072 +0. 8344031847 +2. 0081959696 +0. 0167279082 +0. 0307565174 +0. 1015821868 +0. 2543532324 -0. 0363389456 -0. 1319880604 -0. 6840636495 -0. 8477895983 -0,9098048836 -1. 2117543262 +0. 4157759426 +2. 5747200024 -0. 2065990829 -1. 4758813123 +0. 5103430631 +1. 7663287711 •76- 201228306 Table 9 (7-bit, including the optimal codebook for orthogonal precoding vectors) vl Real (v2) Virtual (v2) Angle (v2) +0. 5809413615 +0. 7842335412 +0. 5982471968 -0. 3537775777 +0. 7143483868 -0. 5665504922 +0. 6365481899 -0. 0078575688 +0. 6509687276 +0. 6897368486 +0. 6227345860 +0. 2471720964 +0. 6566562329 -0. 7289006393 +0. 2061480264 +0. 6813508854 +0. 7868204647 -0. 5594789679 +0. 5531449600 +0. 3329374898 +0. 7157159233 +0. 6968533676 +0. 8352186103 +0. 0610630506 +0. 8839929771 +0. 4064879097 +0. 4629649762 +0. 7323743464 +0. 9506709131 -0. 0190534640 +0. 7503467683 -0. 6500984036 +0. 1857539411 -0. 9167585642 +0. 3778026764 +0. 9170825056 +0. 1087997835 -0. 9091855279 +0. 3905706117 +0. 6147848521 +0. 9939201075 +0. 0475772273 +0. 4651189867 -0. 8600664556 +0. 5590499980 -0. 5083217426 +0. 9016737689 -0. 2118567860 +0. 3834674462 +0. 8663998125 +0. 3738207711 -0. 1372512833 +0. 4524734468 +0. 7583810682 +0. 1693542866 +0. 3394164544 +0. 2550778487 +0. 9446996628 +0. 5754827100 -0. 7720097366 +0. 0956355383 +0. 6541083746 +0. 4985175102 -0. 7675902784 +0. 7654203843 +0. 5664976833 +0. 4100234369 +0. 1483201216 +0. 9337335058 +0. 1883323430 +0. 8366983882 +0. 0645341179 +0. 6759278812 -0. 4399231176 +0. 3590571853 +0. 8499338137 +0. 5612676019 -0. 7515987818 +0. 8828791982 -0. 4440800915 +0. 8339650528 +0. 4324104263 +0. 8945743463 +0. 2583236952 +0. 8154968517 -0. 5505683914 +0. 8475368679 -0. 5274330414 +0. 9692591498 +0. 1587047653 +0. 7494407615 -0. 4682466851 +0. 8370401396 -0. 4767693403 +0. 9123943947 -0. 3031393768 +0. 5851759702 +0. 8091231899 +0. 5669537650 +0. 5644863006 +0. 9224035591 +0. 1852012620 +0. 4066331880 -0. 9124568120 +0. 7948800956 -0. 4613917725 +0. 3107547247 -0. 1328348192 +0. 2179102735 +0. 2710269001 -0,7189865903 -2. 0280639860 -0. 4107638276 -2. 5142674304 -0. 7711969013 »1. 5809847714 -0. 3170217586 -0. 4308309356 +0. 7423662103 +1. 2493892760 -0. 1936658201 -2. 8818969151 +0. 7023275319 +0. 8005570612 -0. 2605702225 -2. 7057289337 -0. 7636643773 -1. 1596677979 +0. 0463260318 +0. 0663812062 -0. 5465173162 -1. 4595265934 -0. 2309198904 -0. 5166223292 -0. 4992907445 -0. 5983672522 +0. 3096155365 +1. 6322579270 +0. 1197989688 +2. 9593588836 -0. 3536229749 -2. 7734465948 -0. 1273766688 -0. 1380104082 +0. 4019257183 +2. 7253509473 -0. 6851964556 -0. 8395088408 +0. 0992936418 +1. 1239618523 -0. 2096426008 -2. 9025033995 -0. 6550359575 -2. 2307440356 -0. 3769630178 -2. 0828130813 +0. 3198500939 +0. 3536509617 -0. 9172895488 -1. 7193214623 +0. 4691758043 +0. 5540231867 -0. 9252651491 -1. 2192061924 -0. 2061015242 -0. 2148004803 -0. 2698529545 -2. 8053223006 +0. 7503306458 +0. 8538042215 -0. 4028466911 -2. 6582868094 +0. 3053064201 +0. 4943096935 -0. 8999343991 -1. 4074525865 +0. 3044218597 +1. 0167721607 +0. 5438484668 +1. 4526866675 -0. 5912606448 -2. 2104737953 -0. 3856040067 -0. 4259158866 +0,3465226548 +2. 7095897903 +0. 1526996850 +2. 8104016185 -0. 3428170269 -0. 6703381514 +0. 3646993383 +0. 9545085239 +0. 1784357902 +2. 8281806192 -0. 0591239745 -3. 0299610864 +0. 1880146217 +0. 8697324634 -0. 4680636568 -2. 3563899684 +0. 2684302533 +2. 6288089361 -0. 2750327014 -2. 4047692434 -0. 0537470683 -0. 0663288674 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Claims (1)

201228306 VII. Patent application scope: A communication device (1 00) for wired data transmission, comprising: a transmitter unit (1 1 0 ) configured to transmit at least two transmission signals via different transmission paths of the transmission channel (300) a codebook memory unit (1 8 8) configured to store a codebook table comprising complex digital book items, each codebook item comprising at least one predetermined precoding for each of the at least two transmitted signals a precoder unit (1 1 4) configurable to beamform the transmitted signals: and a precoder control unit (1 84) configured to be assigned to the codebook identified by the codebook index The precoder 项目 of the project constructs a precoding matrix for beamforming the at least two transmitted signals and configures the precoder unit (114) according to the constructed precoding matrices. 2. The communication device of claim 1, wherein the transmitter unit (1 1 0 ) is configured to transmit and precode a multicarrier signal; and the precoder control unit (1 84) is configured to Separating, for each of the subcarriers, a precoder 分配 for the individual subcarriers assigned to the codebook entry identified by the codebook index, for constructing the at least two transmissions for beamforming A precoding matrix of signals, and configuring the precoder unit (1 1 4 ) for the individual subcarriers according to the constructed precoding matrices. 3. The communication device of claim 2, wherein the precoder control unit (1 84) is further configured to allocate -112-201228306 to a codebook index assigned to two pilot subcarriers. The precoders of the identified codebook items interpolate the precoders of the precoding matrix of the subcarriers between the two pilot subcarriers. 4. The communication device according to any one of claims 1-3, wherein the items in the code list represent uniformly distributed precoding vectors 〇 5. as claimed in claim 1 The communication device of the item, wherein the codebook memory unit (188) stores at least two codebook tables of different lengths, and the precoder control unit (184) is configured to access the selection of the codebook tables. By. 6. The communication device of claim 1, wherein the codebook table comprises a first row of the one of the codebook tables defined in Tables 1 to 12, and the second, third, and At least one of the four lines. 7. The communication device of claim 1, further comprising a receiver unit (120) configured to receive at least one received signal containing information regarding at least two additional transmitted signals via the wired transmission channel The different transmission paths of (300) receive the at least two additional transmission signals; the codebook control unit (1 83) is configured to identify the codebook items based on channel state information describing the transmission channel (300) In one case, the precoder 最佳 is best approximated among all or a subset of the codebook items -113-201228306 for beamforming the perfect precoding matrix of the at least two additional transmitted signals. 8. The communication device of claim 7, wherein the codebook control unit (1 83) is configured to identify one of the codebook items, wherein the precoder is in the codebook item The best approximate of this perfect precoding matrix. 9. The communication device of claim 1, wherein the perfect precoding matrix is obtained by singular or QR decomposition of a channel matrix of the transmission channel (300). 10. The communication device of claim 2, wherein the codebook table contains a codebook entry for each subcarrier. A communication system, comprising: the first communication device according to any one of claims 1 to 10, and the second communication device according to claim 7 or 8. 12. A communication method for a communication system including first and second communication devices (100) connected by a wired transmission channel (300), in the first communication device, in a code book including a complex digital book item In the table, each codebook item includes at least one predetermined precoder for each transmission signal, and identifies one of the complex digital book items based on the channel state information describing the transmission channel (300), and the precoder 値Optimally approximating a perfect precoding matrix for beamforming transmission signals to obtain a codebook index among all or a subset of the codebook items; and in the first and/or second communication device, using the The codebook index - 114 - 201228306 constructs a precoding matrix for beamforming the transmitted signals based on the precoders 分配 assigned to the codebook items identified by the codebook index. -115-