WO2008151518A1 - The method and device for detecting information in the ofdm system - Google Patents

The method and device for detecting information in the ofdm system Download PDF

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Publication number
WO2008151518A1
WO2008151518A1 PCT/CN2008/001119 CN2008001119W WO2008151518A1 WO 2008151518 A1 WO2008151518 A1 WO 2008151518A1 CN 2008001119 W CN2008001119 W CN 2008001119W WO 2008151518 A1 WO2008151518 A1 WO 2008151518A1
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Prior art keywords
data symbols
data
equal
posterior probability
detected
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PCT/CN2008/001119
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French (fr)
Chinese (zh)
Inventor
Zhendong Luo
Dawei Huang
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Lucent Technologies Inc.
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Publication of WO2008151518A1 publication Critical patent/WO2008151518A1/en

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L25/03171Arrangements involving maximum a posteriori probability [MAP] detection
    • 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
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2647Arrangements specific to the receiver only
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L2025/0335Arrangements for removing intersymbol interference characterised by the type of transmission
    • H04L2025/03375Passband transmission
    • H04L2025/03414Multicarrier

Definitions

  • the present invention relates to signal detection in an OFDM system, and in particular to a detection method and apparatus for an OFDM system capable of generating a posterior probability of transmitted data symbols directly from a received signal with higher computational efficiency.
  • OFDM Orthogonal Frequency Division Multiplexing
  • FIG. 1 shows a schematic block diagram of a transmitter and receiver of an OFDM system according to the prior art, wherein dashed boxes 11 and 27 represent channel coding units and channel coding units for the coding system. That is, for an uncoded system, the OFDM system does not include the two parts described above.
  • the transmitter includes: a channel encoder 11, a symbol mapper 12, a pilot insertion unit 13, a power distribution unit 14, an inverse FFT unit 15, an inserted CP unit 16, and a radio frequency/intermediate frequency (RF/).
  • IF radio frequency/intermediate frequency Modulator 17 and modules such as transmit antennas.
  • the channel coder 11 encodes the data information from the source to generate coded bits
  • the symbol mapper 12 maps the coded bits into corresponding data symbols in the signal constellation
  • the pilot insertion unit 13 inserts a guide into the data symbols.
  • the frequency symbol is further adjusted by the power distribution unit 14 for the transmission power of each transmitted symbol, and then processed by the inverse FFT unit 15 and processed by the insertion of the CP unit 16 to generate a baseband transmission signal, which is then modulated by the RF/IF modulator. Finally, it is transmitted by the transmitting antenna.
  • the receiver includes: a receiving antenna, an RP/IF demodulator 21, and a time-frequency.
  • the radio frequency receiving signal is received by the receiving antenna, and then processed by the RF/IF demodulator 21 to generate a baseband received signal, and the time frequency synchronizing unit 22 keeps the time and frequency of the receiver consistent with the received signal, in the CP removing unit.
  • channel estimation unit 25 estimates channel state information (CSI) using the pilot signal
  • signal detector 26 A hard decision result (for an uncoded system and a hard decision decoding system) that produces data symbols from the received signal using the estimated CSI, or soft information that produces data symbols (for a soft decoding system).
  • signal detector 26 produces the final transmitted data; for an encoding system (including a hard decision decoding system and a soft decoding system), channel decoder 27 utilizes the information provided by the signal detector to ultimately Restore the transmitted data. Finally, the recovered transmission data is sent to the sink.
  • Non-Patent Document 1 T. Cui and , C. Tellambura, "Joint Data Detection and Channel Estimation for OFDM Systems," IEEE Trans. Commun., vol. 54, no. 4, pp. 902-915, Apri. 2006
  • a robust hard decision algorithm is proposed, which combines channel estimation with hard decision detection to improve the performance of OFDM receivers.
  • the method proposed in the above Non-Patent Document 1 is so complicated that it cannot be applied to an actual OFDM system.
  • the method cannot provide soft information of data symbols, so it cannot interface with a soft channel decoder such as a turbo decoder to improve reception performance.
  • Non-Patent Document 2 (SY Park, Y. G Kim, and CG ang, "Iterative receiver for joint detection and channel estimation in OFDM systems under mobile radio channels," IEEE Trans. Vehicular Technology, vol. 53, no. 2 , pp. 450-460, Mar. 2004) proposed soft iterative joint channel estimation, A combination of detection and decoding, which effectively improves the performance of the OFDM system by Turbo processing between the channel estimator, the detector and the decoder. Nonetheless, the method essentially utilizes inaccurate CSI estimates generated by the channel estimator to generate soft information, the performance of which is still compromised by channel estimation errors. Summary of the invention
  • An object of the present invention is to provide a detection method and apparatus for an OFDM system capable of generating a posterior probability of a transmitted data symbol directly from a received signal with higher computational efficiency without performing a channel estimation operation.
  • a signal detecting method for an OFDM system comprising the steps of: a) inputting a receiving vector including a plurality of received signals, wherein, one of a plurality of data symbols to be detected is to be detected When the symbol is equal to one of its candidate values, the received vector is considered to be subject to a multi-dimensional complex Gaussian distribution under the condition that the channel and other data symbols are unknown; b) the probability density function of the multi-dimensional complex Gaussian distribution is used to calculate the known reception Under the condition of the vector, each data symbol to be detected is equal to the posterior probability of its respective candidate value.
  • a signal detecting apparatus for an OFDM system comprising: means for inputting a reception vector including a plurality of received signals, wherein one of a plurality of data symbols to be detected is to be detected When the data symbol is equal to one of its candidate values, the received vector is considered to be subject to a multi-dimensional complex Gaussian distribution under the condition that the channel and other data symbols are unknown; the probability density function for calculating using the multi-dimensional complex Gaussian distribution is known A device in which each data to be detected is equal to the posterior probability of its respective candidate value under the condition of receiving a vector.
  • the posterior probability of the transmitted data symbols can be accurately calculated without the need for channel estimation in the OFDM system.
  • the detection method and apparatus of the present invention can achieve near optimality with a complexity proportional to the number of subcarriers.
  • 1(a) and 1(b) are schematic block diagrams showing a transmitter and a receiver of an OFDM system according to the prior art
  • FIG. 2 shows a schematic block diagram of a transmitter and a receiver of a 0; FDM system in accordance with an embodiment of the present invention
  • 3(a) and 3(b) illustrate the operation of a detector in a receiver of an OFDM system in different situations according to an embodiment of the present invention
  • FIG. 4 illustrates BER performance of a detector in the case of a QPSK constellation and 16 pilot symbols per data block, in accordance with an embodiment of the present invention
  • FIG. 5 illustrates BER performance of a detector in the case of a 16QAM constellation and 16 pilot symbols per data block, in accordance with an embodiment of the present invention
  • FIG. 6 illustrates BER performance of a detector in a QPSK constellation diagram and 4 pilot symbols per data block, in accordance with an embodiment of the present invention
  • Figure ⁇ shows the BER performance of a detector in the case of a 16QAM constellation and 4 pilot symbols per data block, in accordance with an embodiment of the present invention.
  • ⁇ , and H represent the transpose, conjugate and conjugate transpose of the matrix, respectively; det (.) represents the determinant of the matrix; ⁇ represents the identity matrix; diag (.) represents the diagonalization of the vector; V a ) represents the variance of the random variable; Bu
  • the input-output relationship on each subcarrier is equivalent to a flat fading channel and can be expressed as:
  • N Represents the total number of subcarriers, representing the power amplification factor of the symbol,
  • 1, and
  • f ⁇ 2 . Note: also It is called channel state information (CSI).
  • CSI channel state information
  • a set of N transmitted symbols is defined as a block of data.
  • One data block can contain W symbols on any time slot and subcarrier. However, it is generally considered that one data block is composed of one or more consecutive OFDM symbols. Each OFDM symbol is composed of transmitted symbols on each subcarrier. Each transmitted symbol may be a data symbol, a pilot symbol, or a mixture of both.
  • the detector according to the present embodiment will operate on every data block, i.e., each data block is treated as a basic processing unit.
  • h n , y n > ⁇ ⁇ and respectively represent and corresponding Complex channel gain, received signal, noise, and power amplification factor.
  • pilot assisted estimation is widely used in practical systems and in various standards.
  • a system that uses pilot assisted estimation is called a pilot assist system.
  • Each data block in a system has K inserted symbols.
  • Pnt , y 3 ⁇ 4 5 and respectively represent the corresponding transmit power and received signal. Complex channel gain and noise.
  • the detector of this embodiment can be used in any OFDM system, not just for pilot assisted OFDM systems.
  • FIG. 2 shows a schematic block diagram of a transmitter and receiver of an OFDM system in accordance with an embodiment of the present invention.
  • a receiver according to an embodiment of the present invention includes: a receiving antenna, an RF/IF demodulator 21, a time-frequency synchronization unit 22, a CP removing unit 23, an FFT unit 24, a signal detector 26', and a channel translation. Module 27 and other modules.
  • the receiver does not have a channel estimation unit.
  • the signal detector 26 does not require an estimate of the CSI to directly generate a posteriori probability of the data symbol.
  • the signal The detector 26' produces a hard decision result of the data symbols based on the maximum a posteriori probability criterion.
  • the signal detector 26' inputs the posterior probability of the generated data symbols to the soft decoder for subsequent soft translation. code.
  • the other modules of the receiver are identical to the traditional receiver.
  • the receiver according to the embodiment of the present invention is different from the prior art in that the channel estimation unit is removed, and the signal detector 26' directly performs a soft iterative detection operation based on the output of the FFT unit 24 to generate The posterior probability (APP) of a data symbol, also known as soft information.
  • APP The posterior probability
  • This soft information will be used for subsequent hard decisions or input to the soft channel decoder for soft decoding, such as Turbo decoding.
  • the channel decoder in Figure 2 is only available in the case of an encoding system. That is, for an uncoded system, there is no channel coder and channel decoder 27.
  • the signal input to the signal detector is a baseband signal demodulated by OFDM, that is, a received signal on each subcarrier.
  • OFDM frequency division multiple access
  • these signals are the superposition of received data signals and noise or the superposition of pilot signals and noise; for systems using embedded pilots (also known as semi-blind systems), these signals are data Signals, pilot signals, and noise are added together.
  • the detector according to the present embodiment does not require channel estimation, directly calculates the posterior probability distribution of the data symbols, and outputs the final result after a plurality of iterations. If the system uses a soft decoder, the detector outputs a posterior probability distribution for each data symbol. If the system is not programmed The code is either a hard decision decoder, and the detector outputs the decision result of the data symbol obtained according to the maximum posterior probability criterion.
  • the operation of the detector according to an embodiment of the present invention is described below.
  • the key to the detector according to an embodiment of the invention is a core detection algorithm for calculating the APP of the data symbol without channel estimation.
  • the probability density function of the received signal vector y which is often referred to as a likelihood function; is a prior probability density function of the received signal vector, which is constant for different m;
  • Each element of the received signal vector y is a random variable formed by a channel, a data symbol or a pilot symbol, and noise.
  • y is considered to obey (or approximately obey) the multidimensional complex Gaussian distribution.
  • equation (9) is a simplified form of equation (7) under the condition that the transmitted data symbols are a priori
  • equation (10) is a simplification of equation (7) under the condition that the data symbols are constant modulus. form.
  • R ⁇ can be thought of as the matrix R when ⁇ - ⁇ Jf.
  • R and R r beau Snim differ only in the elements on the nth and nth columns.
  • det(R) and y3 ⁇ 4" as intermediate variables, the rank 1 update formula and the block matrix are further inferred using the determinant and matrix inversion. Determinant and inversion formula, The proposed simplified algorithm is thus obtained.
  • Det(R) and y ff R- can be regarded as constants, which can be omitted from the calculation and do not need to calculate their results.
  • FIG. 3 is a flow chart showing a soft iterative detection process performed by a signal detector in a receiver of an OFDM system in accordance with an embodiment of the present invention.
  • i represents the index of the number of iterations
  • N represents the total number of iterations.
  • Figure 3(a) shows the detection flow for an uncoded system or a hard decision decoding system.
  • the so-called updated condition refers to using the APP of the data symbol generated by the detector in the previous iteration to calculate the current The mean and variance of the data symbols required in the iteration.
  • Figure 3(b) shows the flow for a soft decoding system.
  • the updated condition refers to the calculation of the mean and variance of the data symbols required in the current iteration using the APP of the data symbols generated by the decoder in the previous iteration.
  • ⁇ ( ) is usually a constant.
  • Vector y receives signals from the received signal of the symbol to be detected and the pilot Composition.
  • y) p (x n ⁇ s n , m
  • n ( (h' ) is a subarray consisting of a matrix column and elements of the ..., 3 ⁇ 4 rows.
  • equation (23) can be simplified to
  • the complexity of the first iteration after simplification is 0 (Nf + NM). Where f is the number of pilot symbols in each data block.
  • CSI channel state information
  • AMC adaptive modulation and coding
  • V are determined by the APP generated by the detector or soft decoder at the last iteration.
  • an encoding system it can be generated by encoding and mapping the data bits output by the decoder.
  • ⁇ 2 can be calculated by the method proposed in Non-Patent Document 3 (IEEE Std 802.16e-2005 and IEEE Std 802.16-2004/Cor 1-2005 (Amendment and Corrigendum to IEEE Std 802.16-2004), Feb. 2006). This document is incorporated by reference in its entirety. The following discusses how to determine Rh .
  • Non-Patent Document 4 (D. J.
  • Non-Patent Document 5 A. avcic and B. Yang, "A new efficient Subspace tracking algorithm based on singular value decomposition,” in Proc. 1994 IEEE Int. Conf. Acoustics, Speech, and Signal Processing, vol. IV, 1994, pp.
  • the fast rank 1 singular value decomposition update algorithm for subspace tracking can be applied to the calculation of U and D.
  • Their computational complexity is only 0 (H). Since the channel is statistically invariant over a relatively long period of time, the estimated parameters are relatively relatively Precise.
  • Figures 4 through 7 show the simulation results of the above algorithm in several cases.
  • an uncoded pilot assisted OFDM system with 256 subcarriers is considered.
  • the channel is a 6-path typical city (TU) fading channel (COST207) with a channel bandwidth of 10 MHz and an OFDM symbol duration of 32 ⁇ with a cyclic prefix of 6.4 ⁇ .
  • TU typical city
  • COST207 OFDM symbol duration
  • All transmitted symbols including data symbols and pilot symbols
  • the pilot symbols for each data block are 16.
  • the constellation used in Figures 4 and 6 is QPSK
  • the constellation used in Figures 5 and 7 is 16QAM. .
  • ML-MMSE represents the performance of a maximum likelihood detector using minimum mean square error (MMSE) channel estimation, which is a very common OFDM reception scheme in practice.
  • MMSE minimum mean square error
  • the performance of ML-MMSE is always far from the optimal performance, which is caused by the error of channel estimation.
  • the performance of the above iterative detection method is similar to ML-MMSE. However, as the number of iterations increases, its performance quickly approaches optimal performance. As shown in Figures 6 and 7, although the inserted pilot symbols are sparse, the soft iterative detection method according to an embodiment of the present invention can still achieve near optimal performance.

Abstract

The method for detecting the information in the OFDM system includes the following steps. A) The vector including several received signals is inputted into the receiver, when one symbol of several symbols to be detected is equal to one of candidate values, the vector would obey the multi-dimensional complex Gaussian distribution when the conditions about the channels and the other data are unknown. B) The posterior probability of every data that is equal to every candidate values can be calculated with the probability density function of the multi-dimensional complex Gaussian distribution. So the posterior probability of the data can be calculated accurately when the channel conditions would not be estimated. The performance of the detection can be close to the optimum results, and the complexity is in direct ratio with the number of carriers.

Description

OFDM系统的信号检测方法和设备 技术领域  Signal detection method and device for OFDM system
本发明涉及 OFDM系统中的信号检测, 具体涉及一种用于 OFDM 系统的检测方法和设备, 能够以较高的计算效率直接从接收信号中产 生发射的数据符号的后验概率。 背景技术  The present invention relates to signal detection in an OFDM system, and in particular to a detection method and apparatus for an OFDM system capable of generating a posterior probability of transmitted data symbols directly from a received signal with higher computational efficiency. Background technique
由于快速傅立叶变换 (FFT) 和循环前缀 (CP) 的使用, 正交频 分复用 (OFDM) 技术可以以较低的复杂度来有效地对抗多径衰落。 目前, 已经在诸如 IEEE 802.11, 802.16, 802.20, 3GPP LTE等众多无线 通信系统中采用了 OFDM技术。尤其值得关注的是, OFDM技术被认 为是下一代移动通信 (4G) 系统中最重要的物理层技术之一。  Due to the use of Fast Fourier Transform (FFT) and Cyclic Prefix (CP), Orthogonal Frequency Division Multiplexing (OFDM) technology can effectively combat multipath fading with low complexity. Currently, OFDM technology has been adopted in many wireless communication systems such as IEEE 802.11, 802.16, 802.20, 3GPP LTE, and the like. Of particular note is that OFDM technology is considered one of the most important physical layer technologies in next-generation mobile communication (4G) systems.
图 1示出了根据现有技术的 OFDM系统的发射机和接收机的示意 性框图, 其中虚线框 11和 27表示用于编码系统的信道编码单元和信 道译码单元。 也就是说, 对于未编码系统, OFDM系统并不包括上述 的两个部分。  1 shows a schematic block diagram of a transmitter and receiver of an OFDM system according to the prior art, wherein dashed boxes 11 and 27 represent channel coding units and channel coding units for the coding system. That is, for an uncoded system, the OFDM system does not include the two parts described above.
如图 1(a)所示, 发射机包括: 信道编码器 11、 符号映射器 12、 导 频插入单元 13、 功率分配单元 14、逆 FFT单元 15、插入 CP单元 16、 射频 /中频 (RF/IF) 调制器 17以及发射天线等模块。 首先, 信道编码 器 11对来自信源的数据信息进行编码后产生编码比特,然后符号映射 器 12将编码比特映射成为信号星座中对应的数据符号,接着导频插入 单元 13在数据符号中插入导频符号, 再由功率分配单元 14调整每个 发射符号的发射功率,然后经过逆 FFT单元 15的处理和插入 CP单元 16的处理产生基带发射信号, 再经过 RF/IF调制器 Π的调制后, 最 后由发射天线发射出去。  As shown in FIG. 1(a), the transmitter includes: a channel encoder 11, a symbol mapper 12, a pilot insertion unit 13, a power distribution unit 14, an inverse FFT unit 15, an inserted CP unit 16, and a radio frequency/intermediate frequency (RF/). IF) Modulator 17 and modules such as transmit antennas. First, the channel coder 11 encodes the data information from the source to generate coded bits, and then the symbol mapper 12 maps the coded bits into corresponding data symbols in the signal constellation, and then the pilot insertion unit 13 inserts a guide into the data symbols. The frequency symbol is further adjusted by the power distribution unit 14 for the transmission power of each transmitted symbol, and then processed by the inverse FFT unit 15 and processed by the insertion of the CP unit 16 to generate a baseband transmission signal, which is then modulated by the RF/IF modulator. Finally, it is transmitted by the transmitting antenna.
如图 1(b)所示, 接收机包括: 接收天线、 RP/IF解调器 21、 时频 同步单元 22、 CP去除单元 23、 FFT单元 24、 信道佶计单元 25、 信号 检测器 26、 信道译码器 27等模块。 首先, 由接收天线接收到射频接 收信号, 然后经过 RF/IF解调器 21的处理后产生基带接收信号, 时频 同步单元 22使接收机的时间和频率与接收信号保持一致, 在 CP去除 单元 23和 FFT单元 24对基带接收信号进行 FFT和去除 CP处理后就 得到了各个子载波上的基带接收信号,信道估计单元 25利用导频信号 对信道状态信息 (CSI) 进行估计, 信号检测器 26利用所估计的 CSI 从接收信号中产生数据符号的硬判决结果 (对于未编码系统和硬判决 译码系统)、 或是产生数据符号的软信息 (对于软译码系统)。 对于未 编码系统,信号检测器 26所产生的就是最终要恢复的发射数据;对于 编码系统 (包括硬判决译码系统和软译码系统), 信道译码器 27利用 信号检测器提供的信息最终恢复出发射数据。 最后, 所恢复的发射数 据被送入至信宿。 As shown in Figure 1(b), the receiver includes: a receiving antenna, an RP/IF demodulator 21, and a time-frequency. The synchronization unit 22, the CP removal unit 23, the FFT unit 24, the channel trick unit 25, the signal detector 26, the channel decoder 27, and the like. First, the radio frequency receiving signal is received by the receiving antenna, and then processed by the RF/IF demodulator 21 to generate a baseband received signal, and the time frequency synchronizing unit 22 keeps the time and frequency of the receiver consistent with the received signal, in the CP removing unit. 23 and FFT unit 24 performs FFT and CP removal processing on the baseband received signal to obtain a baseband received signal on each subcarrier, and channel estimation unit 25 estimates channel state information (CSI) using the pilot signal, and signal detector 26 A hard decision result (for an uncoded system and a hard decision decoding system) that produces data symbols from the received signal using the estimated CSI, or soft information that produces data symbols (for a soft decoding system). For an uncoded system, signal detector 26 produces the final transmitted data; for an encoding system (including a hard decision decoding system and a soft decoding system), channel decoder 27 utilizes the information provided by the signal detector to ultimately Restore the transmitted data. Finally, the recovered transmission data is sent to the sink.
为了在 OFDM系统中获得优良的接收性能,在信号检测之前要进 行精确的信道估计。 已经提出了一些有效的信道估计方法, 例如导频 辅助估计、 半盲估计和盲估计。 但是, 通过信道估计不可能获得理想 的信道状态信息 (CSI), 很大程度上限制了 OFDM系统的性能。  In order to obtain excellent reception performance in an OFDM system, accurate channel estimation is performed before signal detection. Some effective channel estimation methods have been proposed, such as pilot assisted estimation, semi-blind estimation, and blind estimation. However, it is not possible to obtain ideal channel state information (CSI) by channel estimation, which greatly limits the performance of the OFDM system.
为了提高由于不精确的信道估计所带来的性能损失, 有人提出了 联合信道估计和信号检测方法。 例如非专利文献 1 ( T. Cui and , C. Tellambura, "Joint Data Detection and Channel Estimation for OFDM Systems," IEEE Trans. Commun. , vol. 54, no. 4, pp. 902—915, Apri. 2006 ) 提出了一种鲁棒性的硬判决算法, 它通过将信道估计和硬判决 检测相结合来提高 OFDM接收机的性能。但是上述非专利文献 1提出 的方法的复杂度非常高,以致无法应用于实际的 OFDM系统中。另外, 该方法无法提供数据符号的软信息, 因此它无法与诸如 Turbo译码器 之类的软信道译码器对接, 来提高接收性能。  In order to improve the performance loss due to inaccurate channel estimation, joint channel estimation and signal detection methods have been proposed. For example, Non-Patent Document 1 (T. Cui and , C. Tellambura, "Joint Data Detection and Channel Estimation for OFDM Systems," IEEE Trans. Commun., vol. 54, no. 4, pp. 902-915, Apri. 2006 A robust hard decision algorithm is proposed, which combines channel estimation with hard decision detection to improve the performance of OFDM receivers. However, the method proposed in the above Non-Patent Document 1 is so complicated that it cannot be applied to an actual OFDM system. In addition, the method cannot provide soft information of data symbols, so it cannot interface with a soft channel decoder such as a turbo decoder to improve reception performance.
另外, 非专利文献 2 ( S. Y. Park, Y. G Kim, and C. G. ang, "Iterative receiver for joint detection and channel estimation in OFDM systems under mobile radio channels," IEEE Trans. Vehicular Technology, vol. 53, no. 2, pp. 450-460, Mar. 2004 ) 提出了将软迭代联合信道估计、 检测和译码相结合的方法, 它通过信道估计器、 检测器和译码器之间 的 Turbo处理有效地提高了 OFDM系统的性能。尽管如此, 但该方法 本质上还是利用了由信道估计器产生的不准确的 CSI估计值来生成软 信息, 其性能仍旧受到信道估计误差的损害。 发明内容 In addition, Non-Patent Document 2 (SY Park, Y. G Kim, and CG ang, "Iterative receiver for joint detection and channel estimation in OFDM systems under mobile radio channels," IEEE Trans. Vehicular Technology, vol. 53, no. 2 , pp. 450-460, Mar. 2004) proposed soft iterative joint channel estimation, A combination of detection and decoding, which effectively improves the performance of the OFDM system by Turbo processing between the channel estimator, the detector and the decoder. Nonetheless, the method essentially utilizes inaccurate CSI estimates generated by the channel estimator to generate soft information, the performance of which is still compromised by channel estimation errors. Summary of the invention
本发明的目的是提出一种用于 OFDM系统的检测方法和设备,能 够以较高的计算效率直接从接收信号中产生发射的数据符号的后验概 率, 而无需进行信道估计操作。  SUMMARY OF THE INVENTION An object of the present invention is to provide a detection method and apparatus for an OFDM system capable of generating a posterior probability of a transmitted data symbol directly from a received signal with higher computational efficiency without performing a channel estimation operation.
在本发明的一个方面, 提出了一种用于 OFDM系统的信号检测方 法, 包括步骤: a)输入包括多个接收信号的接收向量, 其中, 当多个 待检测数据符号中的一个待检测数据符号等于它的一个候选值时, 在 信道和其它数据符号未知的条件下, 认为所述接收向量服从多维复高 斯分布; b)利用所述多维复高斯分布的概率密度函数来计算在已知接 收向量的条件下每一个待检测数据符号等于其各个候选值的后验概 率。  In an aspect of the present invention, a signal detecting method for an OFDM system is provided, comprising the steps of: a) inputting a receiving vector including a plurality of received signals, wherein, one of a plurality of data symbols to be detected is to be detected When the symbol is equal to one of its candidate values, the received vector is considered to be subject to a multi-dimensional complex Gaussian distribution under the condition that the channel and other data symbols are unknown; b) the probability density function of the multi-dimensional complex Gaussian distribution is used to calculate the known reception Under the condition of the vector, each data symbol to be detected is equal to the posterior probability of its respective candidate value.
在本发明的另一方面, 提出了一种用于 OFDM系统的信号检测设 备, 包括: 用于输入包括多个接收信号的接收向量的装置, 其中当多 个待检测数据符号中的一个待检测数据符号等于它的一个候选值时, 在信道和其它数据符号未知的条件下, 认为所述接收向量服从多维复 高斯分布; 用于利用所述多维复高斯分布的概率密度函数来计算在已 知接收向量的条件下每一个待检测数据等于其各个候选值的后验概率 的装置。  In another aspect of the present invention, a signal detecting apparatus for an OFDM system is provided, comprising: means for inputting a reception vector including a plurality of received signals, wherein one of a plurality of data symbols to be detected is to be detected When the data symbol is equal to one of its candidate values, the received vector is considered to be subject to a multi-dimensional complex Gaussian distribution under the condition that the channel and other data symbols are unknown; the probability density function for calculating using the multi-dimensional complex Gaussian distribution is known A device in which each data to be detected is equal to the posterior probability of its respective candidate value under the condition of receiving a vector.
根据本发明的方法和设备, 在 OFDM 系统中不需要进行信道估 计, 就能够精确计算出所发送数据符号的后验概率。 另外, 本发明的 检测方法和设备可以以正比于子载波数的复杂度获得接近最优的性  According to the method and apparatus of the present invention, the posterior probability of the transmitted data symbols can be accurately calculated without the need for channel estimation in the OFDM system. In addition, the detection method and apparatus of the present invention can achieve near optimality with a complexity proportional to the number of subcarriers.
从下面结合附图的详细描述中, 本发明的上述特征和优点将更明 显, 其中: The above features and advantages of the present invention will become more apparent from the Detailed Description Display, where:
图 1(a)和图 1(b)示出了根据现有技术的 OFDM系统的发射机和接 收机的示意性框图;  1(a) and 1(b) are schematic block diagrams showing a transmitter and a receiver of an OFDM system according to the prior art;
图 2示出了根据本发明实施例的 0;FDM系统的发射机和接收机的 示意性框图;  2 shows a schematic block diagram of a transmitter and a receiver of a 0; FDM system in accordance with an embodiment of the present invention;
图 3(a)和图 3(b)示出了根据本发明实施例 OFDM系统的接收机中 的检测器在不同情况下的操作过程;  3(a) and 3(b) illustrate the operation of a detector in a receiver of an OFDM system in different situations according to an embodiment of the present invention;
图 4示出了根据本发明实施例的检测器在 QPSK星座图和每数据 块 16个导频符号的情况下的 BER性能;  4 illustrates BER performance of a detector in the case of a QPSK constellation and 16 pilot symbols per data block, in accordance with an embodiment of the present invention;
图 5示出了根据本发明实施例的检测器在 16QAM星座图和每数 据块 16个导频符号的情况下的 BER性能;  5 illustrates BER performance of a detector in the case of a 16QAM constellation and 16 pilot symbols per data block, in accordance with an embodiment of the present invention;
图 6示出了根据本发明实施例的检测器在 QPSK星座图和每数据 块 4个导频符号的情况下的 BER性能; 以及  6 illustrates BER performance of a detector in a QPSK constellation diagram and 4 pilot symbols per data block, in accordance with an embodiment of the present invention;
图 Ί示出了根据本发明实施例的检测器在 16QAM星座图和每数 据块 4个导频符号的情况下的 BER性能。 具体实施方式  Figure Ί shows the BER performance of a detector in the case of a 16QAM constellation and 4 pilot symbols per data block, in accordance with an embodiment of the present invention. detailed description
以下对照附图详细说明本发明的具体实施方式。在下面的说明中省 略了本领域公知的一些技术的细节, 因为对这些公知技术的详细描述 将会导致本发明的一些特点和优点变得不清楚。  Specific embodiments of the present invention will be described in detail below with reference to the accompanying drawings. The details of some of the techniques that are known in the art are omitted in the following description, as the detailed description of these known techniques will result in some of the features and advantages of the present invention.
在下文中, 上标 τ, 和 H 分别表示矩阵的转置、 共轭和共轭转 置; det(。) 表示矩阵的行列式; Ϊ表示单位矩阵; diag(。) 表示矢量的 对角化; Va )表示随机变量的方差; 卜|表示复数的模。 In the following, the superscripts τ , and H represent the transpose, conjugate and conjugate transpose of the matrix, respectively; det (.) represents the determinant of the matrix; Ϊ represents the identity matrix; diag (.) represents the diagonalization of the vector; V a ) represents the variance of the random variable; Bu | represents the modulus of the complex number.
每个子载波上的输入 -输出关系等同于平坦衰落信道, 并且可以表 达为: The input-output relationship on each subcarrier is equivalent to a flat fading channel and can be expressed as:
Figure imgf000006_0001
Figure imgf000006_0001
其中 K ^和 分别表示第 Ζ个时隙中在第《个子载波上的发 射符号复信道增益、 接收信号和噪声, N。表示子载波的总数, 表 示符号 的功率放大系数, | | = 1, 并且 | f = σ2。 注: 也 被称为信道状态信息 (CSI)。 Where K ^ and respectively represent the transmitted symbol complex channel gain, received signal and noise on the "subcarriers" in the first time slot, N. Represents the total number of subcarriers, representing the power amplification factor of the symbol, | | = 1, and | f = σ 2 . Note: also It is called channel state information (CSI).
一组 N个发射符号被定义为数据块。1个数据块可以包含在任意时 隙和子载波上的 W个符号。 但一般认为, 1个数据块是由 1个或多个 连续 OFDM符号组成。 每一个 OFDM符号是由每个子载波上的发射 符号组成。 每个发射符号可能是数据符号、 导频符号、 或是二者的混 合。 根据本实施例的检测器将按每一个数据块来进行操作, 即每个数 据块被当作基本处理单元。  A set of N transmitted symbols is defined as a block of data. One data block can contain W symbols on any time slot and subcarrier. However, it is generally considered that one data block is composed of one or more consecutive OFDM symbols. Each OFDM symbol is composed of transmitted symbols on each subcarrier. Each transmitted symbol may be a data symbol, a pilot symbol, or a mixture of both. The detector according to the present embodiment will operate on every data block, i.e., each data block is treated as a basic processing unit.
这样, 任何数据块的输入-输出关系可以简单地表示为- Thus, the input-output relationship of any data block can be simply expressed as -
Vn = n~KXn + ^ η = 1, 2, ... , W (2) 其中 是数据块中的第^个发射符号, hn, yn > εη和 分别表示与 相 对应的复信道增益、接收信号、噪声和功率放大系数。另外, ^ 6 C(n)5 其中 C(n) = { ,... MW}是候选值集合, 中的候选值, 是 C(n)中候选值的数目 , 并且 1Vn = n~K X n + ^ η = 1, 2, ... , W (2) where is the ^th transmitted symbol in the data block, h n , y n > ε η and respectively represent and corresponding Complex channel gain, received signal, noise, and power amplification factor. In addition, ^ 6 C(n) 5 where C(n) = { ,... MW } is the candidate value set, the candidate value in C(n), and the number of candidate values in C(n), and 1
Figure imgf000007_0001
。 由于每次操作都在一个数据块中,在式 (2)中,直接令 η表示符号在 数据块中索引, 并省略了表示式 (1)时间的下标 。
Figure imgf000007_0001
. Since each operation is in one data block, in equation (2), η is directly indicated that the symbol is indexed in the data block, and the subscript indicating the time of equation (1) is omitted.
数据块中的上述关系还可以写成矩阵形式-  The above relationship in the data block can also be written in matrix form -
其中 y y! ··· Where y y! ···
H = diag(h) , 且
Figure imgf000007_0002
H = diag(h) , and
Figure imgf000007_0002
如上所述, 为了获得良好的性能,需要在检测之前首先进行精确的 信道估计。通常信道估计方法分成导频辅助估计、半盲估计和盲估计。 导频辅助估计广泛应用于实际的系统中和各种标准中。 使用导频辅助 估计的系统被称为导频辅助系统。设在一个系统中每个数据块具有 K 个插入的符号。 这样, 导频子载波上的关系可以表示为- ' = H'P + ε' = P'X'h' + ε' (4) 其 中 '
Figure imgf000007_0003
·■· Vn , ε' = [εη] -- en , Χ' = d g(x') , H' = diag(h') 5 并 且 PJ = (.、^.、[^。 是数据块中的第 个导频符号;而 1。
As described above, in order to obtain good performance, it is necessary to perform accurate channel estimation first before detection. The channel estimation method is generally divided into pilot assisted estimation, semi-blind estimation, and blind estimation. Pilot-assisted estimation is widely used in practical systems and in various standards. A system that uses pilot assisted estimation is called a pilot assist system. Each data block in a system has K inserted symbols. Thus, the relationship on the pilot subcarriers can be expressed as - ' = H'P + ε' = P'X'h' + ε' (4) where '
Figure imgf000007_0003
·■· Vn , ε' = [ε η] -- e n , Χ' = dg(x') , H' = diag(h') 5 and P J = (., ^., [^. is the first pilot symbol in the data block; and 1.
Pnt , y¾ 5 和 分别表示与 相对应的发射功率、 接收信号。 复信 道增益和噪声。本实施例的检测器可用于任意的 OFDM系统, 并不只 针对导频辅助的 OFDM系统。 Pnt , y 3⁄4 5 and respectively represent the corresponding transmit power and received signal. Complex channel gain and noise. The detector of this embodiment can be used in any OFDM system, not just for pilot assisted OFDM systems.
' 图 2示出了根据本发明实施例的 OFDM系统的发射机和接收机的 示意性框图。 如图 2所示, 根据本发明实施例的接收机包括: 接收天 线、 RF/IF解调器 21、 时频同步单元 22、 CP去除单元 23、 FFT单元 24、 信号检测器 26'、信道译码器 27等模块。 与一般 OFDM接收机相 比, 该接收机没有了信道估计单元., 信号检测器 26,不需要 CSI的估 计值直接产生数据符号的后验概率, 对于未编码系统和硬判决译码系 统, 信号检测器 26'根据最大后验概率准则产生数据符号的硬判决结 果, 对于软译码系统, 信号检测器 26'将所产生数据符号的后验概率 输入至软译码器用于接下来的软译码。 该接收机的其他模块与传统接 收机完全相同。 Figure 2 shows a schematic block diagram of a transmitter and receiver of an OFDM system in accordance with an embodiment of the present invention. As shown in FIG. 2, a receiver according to an embodiment of the present invention includes: a receiving antenna, an RF/IF demodulator 21, a time-frequency synchronization unit 22, a CP removing unit 23, an FFT unit 24, a signal detector 26', and a channel translation. Module 27 and other modules. Compared to a general OFDM receiver, the receiver does not have a channel estimation unit. The signal detector 26 does not require an estimate of the CSI to directly generate a posteriori probability of the data symbol. For an uncoded system and a hard decision decoding system, the signal The detector 26' produces a hard decision result of the data symbols based on the maximum a posteriori probability criterion. For the soft decoding system, the signal detector 26' inputs the posterior probability of the generated data symbols to the soft decoder for subsequent soft translation. code. The other modules of the receiver are identical to the traditional receiver.
从图 2中可以看出, 根据本发明实施例的接收机与现有技术的不 同点在于去除了信道估计单元, 由信号检测器 26'根据 FFT单元 24的 输出直接进行软迭代检测操作来产生数据符号的后验概率(APP), 也 称为软信息。 该软信息将被用于后续的硬判决或者输入到软信道译码 器中, 用于软译码, 例如 Turbo译码。 注意, 图 2中的信道译码器仅 在编码系统的情况下是可用的。 也就是说, 对于未编码系统, 不存在 信道编码器和信道译码器 27。  As can be seen from FIG. 2, the receiver according to the embodiment of the present invention is different from the prior art in that the channel estimation unit is removed, and the signal detector 26' directly performs a soft iterative detection operation based on the output of the FFT unit 24 to generate The posterior probability (APP) of a data symbol, also known as soft information. This soft information will be used for subsequent hard decisions or input to the soft channel decoder for soft decoding, such as Turbo decoding. Note that the channel decoder in Figure 2 is only available in the case of an encoding system. That is, for an uncoded system, there is no channel coder and channel decoder 27.
输入至信号检测器的信号是经过 OFDM解调后的基带信号, 也就 是各个子载波上的接收信号。对于导频辅助的 OFDM系统, 这些信号 是接收到的数据信号与噪声的叠加或导频信号与噪声的叠加; 对于采 用嵌入式导频的系统(也称为半盲系统), 这些信号是数据信号、 导频 信号以及噪声叠加在一起构成的。  The signal input to the signal detector is a baseband signal demodulated by OFDM, that is, a received signal on each subcarrier. For pilot-assisted OFDM systems, these signals are the superposition of received data signals and noise or the superposition of pilot signals and noise; for systems using embedded pilots (also known as semi-blind systems), these signals are data Signals, pilot signals, and noise are added together.
根据本实施例的检测器不需要信道估计,直接计算数据符号的后验 概率分布, 经过多次迭代后输出最终结果。 如果系统采用软译码器, 检测器输出的是每个数据符号的后验概率分布。 如果系统没有进行编 码或是采用硬判决译码器, 检测器输出的是根据最大后验概率准则得 到的数据符号的判决结果。 The detector according to the present embodiment does not require channel estimation, directly calculates the posterior probability distribution of the data symbols, and outputs the final result after a plurality of iterations. If the system uses a soft decoder, the detector outputs a posterior probability distribution for each data symbol. If the system is not programmed The code is either a hard decision decoder, and the detector outputs the decision result of the data symbol obtained according to the maximum posterior probability criterion.
下面描述根据本发明实施例的检测器的操作过程。根据本发明实施 例的检测器的关键是核心检测算法, 用于在无信道估计的情况下计算 数据符号的 APP。  The operation of the detector according to an embodiment of the present invention is described below. The key to the detector according to an embodiment of the invention is a core detection algorithm for calculating the APP of the data symbol without channel estimation.
数据符号 的 APP由下式 (5)给出  The APP of the data symbol is given by the following formula (5)
其中
Figure imgf000009_0001
时, 接收信号向量 y的概率密度函数, 它常被称为似然函数; 是 接收信号向量 的先验概率密度函数, 它对于不同的 m是常数;
among them
Figure imgf000009_0001
The probability density function of the received signal vector y, which is often referred to as a likelihood function; is a prior probability density function of the received signal vector, which is constant for different m;
= 表示当接收信号向量为 y时, = m的后验概率。 通常, 如果未特别指明, P( = m) = l/M(n)。
Figure imgf000009_0002
) 可以如下计算- p(j = m)= ^de /R . ~ rexp(-yff (RIn= m) ) (6)
= indicates the posterior probability of = m when the received signal vector is y. Usually, if not specified, P( = m ) = l/M(n).
Figure imgf000009_0002
) can be calculated as follows - p(j = m )= ^ de / R . ~ rexp(-y ff (R In= m ) ) (6)
I  I
其 中
Figure imgf000009_0003
, 且
among them
Figure imgf000009_0003
And
Rh = E(hhH)。 R h = E(hh H ).
接收信号向量 y的每个元素是信道、 数据符号或导频符号以及噪 声共同构成的随机变量。在给定了其中一个数据符号(比如: xn = sn<m ) 而信道和其它数据符号未知的条件下, 认为 y服从 (或近似服从) 多 维复高斯分布。 利用多维复高斯分布的概率密度函数就得到了似然函 数 p(y = m)的计算公式,即式 (6)。注意,下标^ ^表示在:^ = Sn ^的 条件下。 Each element of the received signal vector y is a random variable formed by a channel, a data symbol or a pilot symbol, and noise. Given that one of the data symbols (eg, x n = s n < m ) and the channel and other data symbols are unknown, y is considered to obey (or approximately obey) the multidimensional complex Gaussian distribution. Using the probability density function of the multidimensional complex Gaussian distribution, the formula for calculating the likelihood function p(y = m ) is obtained, that is, the equation (6). Note that the subscript ^ ^ is expressed under the condition of :^ = Sn ^ .
将式 (6)代入式 (5), 可得:
Figure imgf000010_0001
Substituting equation (6) into equation (5), you can get:
Figure imgf000010_0001
本文中, "oc" 表示 "对于不同的 , …正比于… 注意到由于 式 (8), 检测器只需计算对于不同的 m, 正比于 APP的: y)是一个 常量, 因此在计算时通常不予考虑。  In this paper, "oc" means "for different, ... proportional to... Note that due to equation (8), the detector only needs to calculate for different m, proportional to APP: y) is a constant, so usually in calculation Not be considered.
P( =sn,m)对于不同的 m是常数, p n =s ) = l/M(n)
Figure imgf000010_0002
P( =s n , m ) is constant for different m, p n = s ) = l/M(n)
Figure imgf000010_0002
I果 km|对于不同的 是常数, 即: km| = i, 贝1 JI fruit k m | is different for the difference, ie: k m | = i, Bay 1 J
Figure imgf000010_0003
Figure imgf000010_0003
实际上, 式 (9)是式 (7)在发射的数据符号是先验等概的条件下的简 化形式, 而式 (10)是式 (7)在数据符号是恒模的条件下的简化形式。  In fact, equation (9) is a simplified form of equation (7) under the condition that the transmitted data symbols are a priori, and equation (10) is a simplification of equation (7) under the condition that the data symbols are constant modulus. form.
以上公式包含了所提出核心检测算法的基本原理,但直接使用它们 时复杂度很高。 下面详细描述简化算法。  The above formula contains the basic principles of the proposed core detection algorithm, but the complexity of using them directly is high. The simplified algorithm is described in detail below.
定义 R^£^y^。 R = ^可以看作是当 ^-^Jf的矩阵 R。 R与 Rr=Snim只是在第 n行和第 n列上的元素不同。 以 det(R)和 y¾" 作为中 间变量, 再利用行列式和矩阵求逆的秩 1更新公式以及分块矩阵的行 列式和求逆公式,
Figure imgf000010_0004
因而得到所 提出的简化算法。 而 det(R)和 yffR- 可看成常量, 计算中可以被省略, 不需要算出它们的结果。 根据数据符号的均值( : 的不同, 简化算法被分成 . 0和¾ = 0 两种情况。
Define R^£^y^. R = ^ can be thought of as the matrix R when ^-^Jf. R and R r=Snim differ only in the elements on the nth and nth columns. With det(R) and y3⁄4" as intermediate variables, the rank 1 update formula and the block matrix are further inferred using the determinant and matrix inversion. Determinant and inversion formula,
Figure imgf000010_0004
The proposed simplified algorithm is thus obtained. Det(R) and y ff R- can be regarded as constants, which can be omitted from the calculation and do not need to calculate their results. Depending on the mean of the data symbols ( : , the simplification algorithm is divided into . 0 and 3⁄4 = 0).
第一种情况, 当 ≠0时,  In the first case, when ≠0,
exp y Exp y
其中
Figure imgf000011_0001
和第 j列的元素, 是 is R_ 的第 n个元素。 '
among them
Figure imgf000011_0001
And the element of column j, is the nth element of is R_. '
通过将式 (il)和(12)代入式 (7)中, 可以得到 ^≠ 0情况下的核心检 测算法, 如下:
Figure imgf000011_0002
By substituting the equations (il) and (12) into equation (7), the core detection algorithm in the case of ^≠ 0 can be obtained, as follows:
Figure imgf000011_0002
如果对于任何 , 都有 |Stvn| = l, 则式 (13)可以简化为 ν η (14)
Figure imgf000011_0003
第二种情况, 当 = 0时,
If | stvn | = l for any, then equation (13) can be reduced to ν η (14)
Figure imgf000011_0003
In the second case, when = 0,
Figure imgf000011_0004
Figure imgf000011_0004
其中 是 RhP¾¾- PRh的第 n个对角元素,而 是 HhffR- 的第 n个 元素。 Where is the nth diagonal element of Rh P3⁄43⁄4- PR h , but the nth element of H h P3⁄4 ff R-.
通过将式 (15)和 (16)代入式 (7), 则可以得到 = 0情况下的核心检 测算法, 如下:
Figure imgf000012_0001
By substituting equations (15) and (16) into equation (7), the core detection algorithm for = 0 can be obtained, as follows:
Figure imgf000012_0001
如果对于任何 m, 都有 | =1, 则上述等式可简化为:
Figure imgf000012_0002
式(13)和式(17)分别是 ≠0和 = 0时简化的核心检测算法,式(14) 和式 (18)是当数据符号为恒模时的简化算法。
If | =1 for any m, then the above equation can be simplified to:
Figure imgf000012_0002
Equations (13) and (17) are simplified core detection algorithms for ≠0 and = 0, respectively, and equations (14) and (18) are simplified algorithms when the data symbols are constant.
为了进一步提高计算效率,下面给出上述简化算法中一些参数的快 速计算方法。' 要实现核心检测算法, 需要确定 ϋ-Υ, ø = [ø, … 以及 77 = ^ … ¾f。 通过进行奇异值分解 (SVD), 可以得至 ijRh = UD'u 其中 uec" , υ3υ = ϊ, D是 x 的对角矩阵, 通常远小于 V。 实际上, 如果数据块只包含 1个 OFDM符号, 就 表示多径信道中的多径数目。利用 Sherman-Morrison- Woodbm 公式, 可得-
Figure imgf000012_0003
In order to further improve the computational efficiency, a fast calculation method for some parameters in the above simplified algorithm is given below. To implement the core detection algorithm, you need to determine ϋ-Υ, ø = [ø, ... and 77 = ^ ... 3⁄4 f. By performing singular value decomposition (SVD), we can get ijR h = UD'u where uec" , υ 3 υ = ϊ, D is the diagonal matrix of x, usually much smaller than V. In fact, if the data block contains only 1 OFDM symbols, indicating the number of multipaths in a multipath channel. Using the Sherman-Morrison- Woodbm formula, you can get -
Figure imgf000012_0003
(19) 其中 ¾ = ^( ), 且 V = σ2Ι + Ρ2 diag(var (a;】 。 (19) where 3⁄4 = ^( ), and V = σ 2 Ι + Ρ 2 diag(var (a;] .
从式 (19)可以得到计算 R-V, Θ, 和 的复杂度是 (N 2)。 因此该算 法的总复杂度是每个数据块 0(M?+NM), 或者每个数据符号 From equation (19), the complexity of calculating RV, Θ, and is (N 2 ). So the total complexity of the algorithm is 0 (M?+NM) per data block, or each data symbol
0(L2 + M)o 这里,0(L 2 + M)o here,
Figure imgf000012_0004
Figure imgf000012_0004
图 3示出了根据本发明实施例 OFDM系统的接收机中的信号检测 器所执行的软迭代检测过程的流程图。 图中, i表示迭代次数的索引, 而 N表示迭代总次数。  3 is a flow chart showing a soft iterative detection process performed by a signal detector in a receiver of an OFDM system in accordance with an embodiment of the present invention. In the figure, i represents the index of the number of iterations, and N represents the total number of iterations.
图 3(a)示出了针对未编码系统或者硬判决译码系统的检测流程。在 检测幵始后, 在步骤 S21令 i = l, 即表示第一次迭代幵始; 然后在步 骤 S12利用数据符号的初始先验概率分布进行所述的核心检测算法; 在步骤 Si3判断 ¾是否等于^ ; 如果 则令 + l (即下一次 迭代幵始), 并基于更新的条件再次执行核心检测算法; 如果 ¾ = Ni ; 则在步骤 S14根据最大后验概率准则对数据符号迸行硬判决。 注意, 在执行核心检测算法时, P( = Sn,m)始终是原始的先验概率, 而所谓 的更新的条件是指使用检测器在前一次迭代所产生的数据符号的 APP 来计算在当前迭代中所需要的数据符号的均值和方差。 Figure 3(a) shows the detection flow for an uncoded system or a hard decision decoding system. After the detection starts, i = l in step S21, which means that the first iteration starts; then in step Step S12 performs the core detection algorithm by using an initial prior probability distribution of the data symbols; determining whether 3⁄4 is equal to ^ in step Si3; if + l (ie, the next iteration starts), and executing the core again based on the updated condition The detection algorithm; if 3⁄4 = N i ; then a hard decision is made on the data symbols according to the maximum a posteriori probability criterion in step S14. Note that when performing the core detection algorithm, P ( = Sn , m ) is always the original prior probability, and the so-called updated condition refers to using the APP of the data symbol generated by the detector in the previous iteration to calculate the current The mean and variance of the data symbols required in the iteration.
图 3(b)表示针对软译码系统的流程。 在检测开始后, 在步骤 S21 令 z = l, 即表示第一次迭代幵始; 然后在步骤 S22利用数据符号的初 始先验概率分布进行所述的核心检测算法, 并在步骤 S23将所产生的 数据符号的后验概率送入至软译码器; 经过软译码处理后产生原始数 据 (编码前的数据) 的 APP 和数据符号 (编码和映射后的数据〉 的 APP; 在步骤 S24判断 是否等于 N ; 如果 ¾≠ /\^, 则令 i = i + i (即 下一次迭代开始),再基于更新的条件再次执行核心检测算法,然后将 所产生的数据符号的 APP送入至软译码器;如果 = Nj,则在步骤 S25 根据最大后验概率准则进行硬判决, 恢复原始数据。 注意, 在执行核 心检测算法时, p ( = m)始终是原始的先验概率, 而所谓的更新的 条件是指使用译码器在前一次迭代所产生的数据符号的 APP 来计算 在当前迭代中所需要的数据符号的均值和方差。 Figure 3(b) shows the flow for a soft decoding system. After the start of the detection, let z = l in step S21, that is, the first iteration begins; then the core detection algorithm is performed using the initial prior probability distribution of the data symbols in step S22, and the generated is generated in step S23. The posterior probability of the data symbol is sent to the soft decoder; after the soft decoding process, the APP of the original data (data before encoding) and the APP of the data symbol (encoded and mapped data) are generated; Whether it is equal to N ; if 3⁄4≠ /\^, let i = i + i (that is, the next iteration begins), and then execute the core detection algorithm again based on the updated condition, and then send the APP of the generated data symbol to the soft Decoder; if = Nj, then perform a hard decision according to the maximum a posteriori probability criterion to recover the original data in step S25. Note that when performing the core detection algorithm, p (= m ) is always the original prior probability, so-called The updated condition refers to the calculation of the mean and variance of the data symbols required in the current iteration using the APP of the data symbols generated by the decoder in the previous iteration.
另外, 注意到在第一次迭代时通常 = 0, 因此应该使用式 (15)到 (18)。 在其他迭代过程中, 通常 ≠0, 因此应该使用式 (11)到(14)。 实际上, 当本实施例的迭代检测算法应用于导频辅助的 OFDM 系统 时, 可以如下大大简化第一次迭代。  Also, note that at the first iteration, usually = 0, so equations (15) through (18) should be used. In other iterations, it is usually ≠0, so equations (11) through (14) should be used. In fact, when the iterative detection algorithm of the present embodiment is applied to a pilot-assisted OFDM system, the first iteration can be greatly simplified as follows.
在第一次迭代时, ρ( ) 通常是常数。对于导频辅助的 OFDM 系统, 有:  At the first iteration, ρ( ) is usually a constant. For pilot assisted OFDM systems, there are:
Figure imgf000013_0001
Figure imgf000013_0001
^中 y = ∑/n (y')1 。 向量 y 由待检测符号的接收信号和导频接收信号 组成。对于第一次迭代而言, 给定 3 的 =^„的后验概率与给定整个 接收信号 y的 = m后验概率相等, 即: p{xn = sn>m |y) = p(xn ^ sn,m |y.)。 ^ in y = ∑ / n (y')1. Vector y receives signals from the received signal of the symbol to be detected and the pilot Composition. For the first iteration, the posterior probability of a given ^^^ is equal to the = m posterior probability of the given received signal y, ie: p{x n = s n>m |y) = p (x n ^ s n , m | y .).
利用分块矩阵的行列式和求逆公式, 可以得到-  Using the determinant and inversion formula of the block matrix, you can get -
Figure imgf000014_0001
its
Figure imgf000014_0001
n
Figure imgf000014_0002
( (h' )是 的子阵, 由矩阵 列和第 ...,¾行的元素组成。 是列矢量, 由
n
Figure imgf000014_0002
( (h' ) is a subarray consisting of a matrix column and elements of the ..., 3⁄4 rows.
Rh的第 η列中第 nl ..,¾个元素组成。 Η of the first column of R h n l .., ¾ two elements.
因此, 在第一次迭代过程中, 核心检测算法变成了;  Therefore, during the first iteration, the core detection algorithm becomes;
ΡΡ
Figure imgf000014_0003
Figure imgf000014_0003
如果对于任何 m, 1, 则式 (23) 可以简化为
Figure imgf000014_0004
If for any m, 1, then equation (23) can be simplified to
Figure imgf000014_0004
简化后的第一次迭代的复杂度是 0(Nf + NM)。其中, f是每个数 据块中导频符号的数目。  The complexity of the first iteration after simplification is 0 (Nf + NM). Where f is the number of pilot symbols in each data block.
另外, 实际系统可能需要利用信道状态信息 (CSI) 完成一些操 作, 例如功率控制、 自适应调制和编码 (AMC) 等。 这需要接收机也 能够输出 CSI的估计值。 利用所产生的软信息, 本实施例的检测器也 能够输出精确的信道估计值, 如下:  In addition, actual systems may need to perform some operations using channel state information (CSI), such as power control, adaptive modulation and coding (AMC), and so on. This requires the receiver to also output an estimate of the CSI. Using the generated soft information, the detector of this embodiment is also capable of outputting accurate channel estimates as follows:
(25) 其中 和 V是由检测器或者软译码器在最后一次迭代产生的 APP来确 定的。 (25) where and V are determined by the APP generated by the detector or soft decoder at the last iteration.
另一信道估计方法是: h = Rh HP (PtRh p + σ2Ι)— y (26) 其中, = dm.g(xv ... , xN) , 而^是 的判决结果。 Another channel estimation method is: h = R h H P (PtR h p + σ 2 Ι) - y (26) Where = dm.g(x v ... , x N ) and ^ is the result of the decision.
对于未编码系统,  For uncoded systems,
在最后一次迭代时产生的后 验概率 (ΑΡ'Ρ)。 The posterior probability (ΑΡ'Ρ) generated at the last iteration.
对于编码系统, 可以通过对译码器输出的数据比特进行编码和映 射来产生。  For an encoding system, it can be generated by encoding and mapping the data bits output by the decoder.
如果 = X , 式 (26)的估计性能要优于式 (25)的估计性能。 注: 可以 通过循环冗余校验 (CRC ) 来验证判决结果是否正确。  If = X , the estimated performance of equation (26) is better than the estimated performance of equation (25). Note: The decision result can be verified by Cyclic Redundancy Check (CRC).
如上所述, 所提出的迭代检测算法需要知道信道相关矩阵 Rh和噪 声方差 σ 2。其中, σ2可以利用非专利文献 3 ( IEEE Std 802.16e-2005 and IEEE Std 802.16-2004/Cor 1-2005 (Amendment and Corrigendum to IEEE Std 802.16-2004), Feb. 2006 ) 中提出的方法来计算, 该文献整体 引入本申请作为参考。 下面讨论如何确定 RhAs described above, the proposed iterative detection algorithm needs to know the channel correlation matrix R h and the noise variance σ 2 . Wherein σ 2 can be calculated by the method proposed in Non-Patent Document 3 (IEEE Std 802.16e-2005 and IEEE Std 802.16-2004/Cor 1-2005 (Amendment and Corrigendum to IEEE Std 802.16-2004), Feb. 2006). This document is incorporated by reference in its entirety. The following discusses how to determine Rh .
的时间平均
Figure imgf000015_0001
Time average
Figure imgf000015_0001
可以获得 , 以及 1)和0。 根据非专利文献 4 (D. J. Available, as well as 1) and 0. According to Non-Patent Document 4 (D. J.
Rabideau, "Fast, rank-adaptive subspace tracking," IEEE Trans. Signal Processing, vol. 44, pp. 2229-2244, Sept. 1996 ) 和非专利文献 5 (A. avcic and B. Yang, "A new efficient subspace tracking algorithm based on singular value decomposition," in Proc. 1994 IEEE Int. Conf. Acoustics, Speech, and Signal Processing, vol. IV, 1994, pp.Rabideau, "Fast, rank-adaptive subspace tracking," IEEE Trans. Signal Processing, vol. 44, pp. 2229-2244, Sept. 1996) and Non-Patent Document 5 (A. avcic and B. Yang, "A new efficient Subspace tracking algorithm based on singular value decomposition," in Proc. 1994 IEEE Int. Conf. Acoustics, Speech, and Signal Processing, vol. IV, 1994, pp.
IV/485-IV/488 ) , 可以将用于子空间跟踪的快速秩 1 奇异值分解更新 算法应用于 U 和 D的计算。 它们的计算复杂度仅仅是 0 (H)。 由于在 相对较长的时间段中信道是统计不变的, 所以所估计的参数相对较为 精确。 IV/485-IV/488), the fast rank 1 singular value decomposition update algorithm for subspace tracking can be applied to the calculation of U and D. Their computational complexity is only 0 (H). Since the channel is statistically invariant over a relatively long period of time, the estimated parameters are relatively relatively Precise.
图 4到图 7给出了上述算法在几种情况下的仿真结果。在仿真中, 考虑具有 256个子载波的未编码导频辅助 OFDM系统。信道是 6径典 型城市(TU)衰落信道(COST207),信道带宽是 10MHz,一个 OFDM 符号持续时间为 32^, 其中循环前缀为 6.4^。 不失一般性, 设数据 块由一个 OFDM符号组成, 并且导频符号在频域等间隔分布。所有发 射的符号 (包括数据符号和导频符号) 具有相同的发射功率。 在图 4 和 5中, 每个数据块的导频符号是 16个。在图 6和图 7中, 每个数据 块的导频符号仅仅有 4个。 在图 4和图 6中使用的星座是 QPSK, 而 在图 5和图 7中使用的星座是 16QAM。 .  Figures 4 through 7 show the simulation results of the above algorithm in several cases. In the simulation, an uncoded pilot assisted OFDM system with 256 subcarriers is considered. The channel is a 6-path typical city (TU) fading channel (COST207) with a channel bandwidth of 10 MHz and an OFDM symbol duration of 32^ with a cyclic prefix of 6.4^. Without loss of generality, it is assumed that the data block is composed of one OFDM symbol, and the pilot symbols are equally spaced in the frequency domain. All transmitted symbols (including data symbols and pilot symbols) have the same transmit power. In Figures 4 and 5, the pilot symbols for each data block are 16. In Figures 6 and 7, there are only four pilot symbols for each data block. The constellation used in Figures 4 and 6 is QPSK, and the constellation used in Figures 5 and 7 is 16QAM. .
为了进行性能比较, 提供了两种重要的性能度量, 包括 '最优性 能, 和 'ML-MMSE^ 最优性能表示使用理想 CSI的最大似然检测器 的性能,它是理论上最优的 OFDM接收方案。 "ML-MMSE"表示采用 最小均方差 (MMSE) 信道估计的最大似然检测器的性能, 它是实际 中非常常见的 OFDM接收方案。在图 4到图 7中, <第一次迭代'、 '第 二次迭代'、 …、 '第八次迭代' 表示根据本实施例的方法在不同次数 的迭代时的 BER性能。  For performance comparison, two important performance metrics are provided, including 'optimal performance, and 'ML-MMSE^ optimal performance, which represents the performance of the maximum likelihood detector using ideal CSI, which is the theoretically optimal OFDM. Receiving plan. "ML-MMSE" represents the performance of a maximum likelihood detector using minimum mean square error (MMSE) channel estimation, which is a very common OFDM reception scheme in practice. In Figs. 4 to 7, <first iteration', 'second iteration', ..., 'eighth iteration' represent the BER performance of the method according to the present embodiment at different number of iterations.
另外, 从图中可以看出, ML-MMSE的性能总是与最优性能有较大 的差距, 这是信道估计的误差造成的。 在第一次迭代中, 上述迭代检 测方法的性能类似于 ML-MMSE。 但是, 随着迭代次数的增加, 其性 能迅速接近最优性能。如图 6和 7所示,尽管插入的导频符号很稀疏, 但是根据本发明实施例的软迭代检测方法仍能够获得接近最优的性 能。  In addition, it can be seen from the figure that the performance of ML-MMSE is always far from the optimal performance, which is caused by the error of channel estimation. In the first iteration, the performance of the above iterative detection method is similar to ML-MMSE. However, as the number of iterations increases, its performance quickly approaches optimal performance. As shown in Figures 6 and 7, although the inserted pilot symbols are sparse, the soft iterative detection method according to an embodiment of the present invention can still achieve near optimal performance.
以上所述, 仅为本发明中的具体实施方式, 但本发明的保护范围 并不局限于此, 任何熟悉该技术的人在本发明所揭露的技术范围内, 可轻易想到的变换或替换,都应涵盖在本发明的包含范围之内。因此, 本发明的保护范围应该以权利要求书的保护范围为准。  The above is only the specific embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can easily think of changes or substitutions within the technical scope of the present invention. All should be covered by the scope of the present invention. Therefore, the scope of the invention should be determined by the scope of the claims.

Claims

权 利 要 求 书 Claim
1、 一种用于 OFDM系统的信号检测方法, 包括步骤- a ) 输入包括多个接收信号的接收向量, 其中, 当多个待检测数据符号中的 一个待检测数据符号等于它的一个候选值时, 在信道和其它数据符号未知的条 件下, 认为所述接收向量服从多维复高斯分布; 以及 A signal detecting method for an OFDM system, comprising the steps of: a) inputting a receiving vector comprising a plurality of received signals, wherein when one of the plurality of data symbols to be detected is equal to one of its candidate values When the channel and other data symbols are unknown, the received vector is considered to be subject to a multi-dimensional complex Gaussian distribution;
b) 利用所述多维复高斯分布的概率密度函数来计算在已知接收向量的条件 下每一个待检测数据符号等于其各个候选值的后验概率。  b) using the probability density function of the multidimensional complex Gaussian distribution to calculate a posterior probability that each of the data symbols to be detected is equal to its respective candidate value under the condition of a known received vector.
2、 根据权利要求 1所述的信号检测方法, 还包括步骤:  2. The signal detecting method according to claim 1, further comprising the steps of:
c) 基于所述待检测符号等于其各个候选值的后验概率来执行硬判决。  c) performing a hard decision based on the posterior probability that the to-be-detected symbol is equal to its respective candidate value.
3、 根据权利要求 2所述的信号检测方法, 其中对于未编码系统或者硬判决 译码系统, 重复执行步骤 b)达到预定的迭代次数, 以及在重复执行步骤 b) 的 过程中, 用前一次执行步骤 b)所得到的数据符号的后验概率来计算当前一次执 行步骤 b) 所需的数据符号的均值和方差。  3. The signal detecting method according to claim 2, wherein for the uncoded system or the hard decision decoding system, step b) is repeatedly performed to reach a predetermined number of iterations, and in the process of repeatedly performing step b), the previous time is used The posterior probability of the data symbols obtained in step b) is performed to calculate the mean and variance of the data symbols required to perform step b) at a time.
4、 根据权利要求 2所述的信号检测方法, 其中对于软译码系统, 重复执行 步骤 b) 和软译码达到预定的迭代次数, 以及在重复执行步骤 b)和软译码的过 程中, 用前一次执行软译码所得到的数据符号的后验概率来计算当前一次执行 步骤 b) 所需的数据符号的均值和方差。  4. The signal detecting method according to claim 2, wherein for the soft decoding system, step b) and soft decoding are repeatedly performed to reach a predetermined number of iterations, and in the process of repeatedly performing step b) and soft decoding, The mean and variance of the data symbols required to perform step b) at the current time are calculated using the posterior probability of the data symbols obtained by the previous soft decoding.
5、 根据权利要求 2所述的信号检测方法, 在每一次执行步骤 b) 时所述待 检测数据符号等于候选值的先验概率等于最初预定的先验概率值。  The signal detecting method according to claim 2, wherein each time the step b) is performed, the a priori probability that the data symbol to be detected is equal to the candidate value is equal to the initially predetermined prior probability value.
6、 根据权利要求 3所述的信号检测方法, 其中在第一次执行步骤 b) 的情 况下, 利用分块矩阵的行列式和求逆公式来计算所述后验概率值。 6. The signal detecting method according to claim 3, wherein in the case where step b) is performed for the first time, the posterior probability value is calculated using a determinant of the block matrix and an inversion formula.
7、 根据权利要求 3所述的信号检测方法, 其中利用行列式和矩阵求逆的秩 1更斬公式以及分块矩阵的行列式和求逆公式来计算所述后验概率值。 7. The signal detecting method according to claim 3, wherein the posterior probability value is calculated using a rank 1 and a matrix inversion of a rank 1 斩 formula and a determinant and an inversion formula of the block matrix.
8\ 一种用于 OFDM系统的信号检测设备, 包括:  8\ A signal detection device for an OFDM system, comprising:
用于输入包括多个接收信号的接收向量的装置,其中当多个待检测数据符号 中的一个待检测数据符号等于它的一个候选值时, 在信道和其它数据符号未知 的条件下, 认为所述接收向量服从多维复高斯分布; 以及  Means for inputting a reception vector including a plurality of received signals, wherein when one of the plurality of to-be-detected data symbols is equal to one of its candidate values, under the condition that the channel and other data symbols are unknown, The receiving vector is subject to a multidimensional complex Gaussian distribution;
用于利用所述多维复高斯分布的概率密度函数来计算在已知接收向量的条 件下每一个待检测数据符号等于其各个候选值的后验概率的装置。  Means for utilizing the probability density function of the multidimensional complex Gaussian distribution to calculate a posterior probability that each of the data symbols to be detected is equal to its respective candidate value under the condition of a known received vector.
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