WO2012155459A1 - Method and device for correcting frequency offset - Google Patents

Method and device for correcting frequency offset Download PDF

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Publication number
WO2012155459A1
WO2012155459A1 PCT/CN2011/081276 CN2011081276W WO2012155459A1 WO 2012155459 A1 WO2012155459 A1 WO 2012155459A1 CN 2011081276 W CN2011081276 W CN 2011081276W WO 2012155459 A1 WO2012155459 A1 WO 2012155459A1
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Prior art keywords
matrix
frequency offset
constructed
average
normalized
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PCT/CN2011/081276
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French (fr)
Chinese (zh)
Inventor
刘宜佳
郭军平
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中兴通讯股份有限公司
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Publication of WO2012155459A1 publication Critical patent/WO2012155459A1/en

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Classifications

    • 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
    • H04L27/2655Synchronisation arrangements
    • H04L27/2657Carrier synchronisation
    • 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
    • H04L27/2655Synchronisation arrangements
    • H04L27/2668Details of algorithms
    • H04L27/2673Details of algorithms characterised by synchronisation parameters
    • H04L27/2675Pilot or known symbols
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L5/00Arrangements affording multiple use of the transmission path
    • H04L5/0001Arrangements for dividing the transmission path
    • H04L5/0014Three-dimensional division
    • H04L5/0023Time-frequency-space
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L5/00Arrangements affording multiple use of the transmission path
    • H04L5/003Arrangements for allocating sub-channels of the transmission path
    • H04L5/0048Allocation of pilot signals, i.e. of signals known to the receiver

Definitions

  • the present invention relates to the field of wireless communication technologies, and in particular, to a frequency offset correction method and apparatus. Background technique
  • Orthogonal Frequency Division Multiplexing OFDM
  • the subcarrier spectrums are required to overlap each other, so strict requirements are imposed on the orthogonality between subcarriers. Once the orthogonality between the subcarriers is not strictly satisfied, interference occurs between the subcarriers, thereby deteriorating the performance of the system. So for OFDM systems and multiple input multiple outputs
  • the frequency deviation from the transmitter to the local oscillator (LO) of the receiver is called the carrier frequency offset.
  • CFO Doppler shift is also one of the CFO sources in mobile channel environments.
  • the CFO not only causes the phase rotation of the demodulation constellation point to affect the symbol decision, but also causes the orthogonality between the subcarriers of the OFDM system to be destroyed, resulting in mutual interference (ICI) between the subcarriers, resulting in serious system performance. decline.
  • ICI mutual interference
  • early rise has shown that a smaller CFO will result in a large system performance loss of OFDM, and also shows that under the Additive White Gaussian Noise (AWGN) channel, it is greater than 4% of the subcarrier spacing.
  • AWGN Additive White Gaussian Noise
  • the loss caused by the CFO of the multipath fading channel greater than 2% of the subcarrier spacing can not be neglected, and CFO estimation and compensation measures must be taken.
  • MIMO-OFDM systems are also very sensitive to CFOs.
  • an embodiment of the present invention provides a method and apparatus for frequency offset correction, which are used to
  • the carrier frequency offset in the OFDM system and the MIMO-OFDM system is estimated and corrected.
  • a method for frequency offset correction comprising:
  • the average of the responses of the different pilot subcarriers is obtained according to the response of all the pilot subcarriers of each Tilestrip in each subchannel, and the column vector is constructed according to this, and according to the structure
  • the column vector constructs the matrix, scales the constructed matrix, and normalizes the scaled matrix
  • the fast Fourier transform is performed according to the elements in the average value of the matrix normalized by the base station, and the frequency offset correction is performed according to the result of the fast Fourier transform.
  • the process of constructing a column vector according to the average of the responses of the different pilot subcarriers obtained includes:
  • the average of the obtained responses is divided into two groups, wherein the average of the pilot subcarrier responses with the odd sequence number is a group, and the pilot number with the serial number is even.
  • the average of the subcarrier responses is a group, and column vectors are constructed according to each group.
  • the process of constructing a matrix according to the constructed column vector includes:
  • '— 2 , , '′ and, '′ are responses of different pilot subcarriers; a matrix constructed by combining the sum of the two matrices R i as a column vector.
  • the method further includes:
  • the process of performing scale processing on the constructed matrix includes:
  • the real part and the virtual step of all elements in the matrix are shifted to the left by S1 bit;
  • the process of normalizing the scaled matrix includes: determining a sum of real parts of the diagonal elements of the matrix after the scale processing, using the sum as a trace of the matrix; determining the matrix and the The quotient of the trace of the matrix, which is the result of normalization of the matrix.
  • the process of performing frequency offset correction according to the result of the fast Fourier transform includes:
  • D is the normalized frequency offset, which is the value of the carrier before the frequency offset correction
  • Si is the corrected value
  • the method further includes: before performing the frequency offset correction, the method further includes:
  • a frequency offset correction device includes:
  • a first normalization processing module configured to receive data on an antenna of a base station, Obtaining the average of the responses of different pilot subcarriers according to the response of all the pilot subcarriers of each Tilestrip in each subchannel, constructing a column vector according to the structure, and constructing a matrix according to the constructed column vector to scale the constructed matrix Processing, normalizing the scaled matrix; a second normalization processing module for determining an average of the normalized matrix of each antenna according to the normalized matrix of each Tilestrip And determining an average value of the normalized matrix of the base station according to the method;
  • a frequency offset correction module configured to perform fast Fourier transform according to an element in an average value of the matrix normalized by the base station, and perform frequency offset correction according to the result of the fast Fourier transform.
  • the first normalization processing module is configured to: when constructing a column vector according to the average of the responses of the different pilot subcarriers obtained:
  • the average of the obtained responses is divided into two groups, wherein the average of the pilot subcarrier responses with the odd sequence number is a group, and the pilot number with the serial number is even.
  • the average of the subcarrier responses is a group, and column vectors are constructed according to each group.
  • the first normalization processing module constructs a matrix according to the constructed column vector, and is configured to: construct two matrices and ⁇ according to the constructed column vector ⁇ ⁇ , z 2 , where
  • the sum of the two matrices ⁇ and R 2 is constructed as a matrix of column vectors.
  • the first normalization processing module performs scale processing on the constructed matrix, and is used to: determine an element with the largest absolute value of the real part and the imaginary part of all elements in the constructed matrix. M;
  • the real part and the virtual step of all elements in the matrix are shifted to the left by S1 bit;
  • the first normalization processing module is used to: when normalizing the scale processed matrix:
  • the sum of the real parts of the diagonal elements of the matrix after scale processing is determined, and the sum is taken as a trace of the matrix; the quotient of the matrix and the trace of the matrix is determined, and the quotient is used as a result of normalization to the matrix.
  • the offset correction module corrects the frequency offset based on a result of the fast Fourier transform, for: _ offset correction is performed according to 3, where i represents the i-th OFDM symbol,
  • D is the normalized frequency offset, which is the value of the carrier before the frequency offset correction
  • Si is the corrected value
  • the device further includes:
  • a frequency offset estimation module configured to determine a real part structure according to a column vector constructed by an element in an average value of the normalized matrix and a column vector constructed by the real part of the column vector fast Fourier transform The position of the maximum value in the column vector, from which the frequency offset estimation is performed to determine the normalized frequency offset.
  • Embodiments of the present invention provide a method and apparatus for frequency offset correction, constructing corresponding matrices by using responses of all pilot subcarriers of each Tilestrip in each subchannel, and normalizing and processing the constructed matrix to determine The average of the normalized matrix of each antenna, thereby determining the average of the normalized matrix of each receiving antenna in the base station, and performing fast Fourier transform according to determining the average value of the normalized matrix of the base station Therefore, the frequency offset estimation is performed, and the frequency offset correction is performed according to the result of the frequency offset estimation.
  • the invention achieves estimation and correction of frequency offset in an OFDM system.
  • FIG. 2 is a schematic diagram of a basic resource structure of an uplink data channel in an IEEE 802.16e system
  • FIG. 3 is a diagram of a device for frequency offset correction according to an embodiment of the present invention. detailed description
  • FIG. 1 is a process of frequency offset correction according to an embodiment of the present invention, where the process includes the following steps:
  • S101 Obtain an average value of responses of different pilot subcarriers according to responses of all pilot subcarriers of each Tilestrip in each subchannel for data received on one antenna of the base station.
  • Tilestrip is a collection of Tiles of a user on the same frequency resource, which is a 2-dimensional concept.
  • the Tilestrip contains (4*3*SlotDurNum) subcarriers.
  • S102 Construct a column vector according to the average of the responses of the obtained different pilot subcarriers, and construct a matrix according to the constructed column vector, and perform scale processing on the constructed matrix.
  • the scaled scale processing that is, a set of data is enlarged or reduced by 2a times to adapt to its storage range; wherein a is a scale value, the 2a times is equivalent to shifting a bit; a is positive means left shift, a is Negative means right shift.
  • Configuring the column vector according to the average of the responses of the different pilot subcarriers obtained includes: determining the sequence number corresponding to the average value of the different pilot subcarriers according to the number of the OFDM symbols of the pilot subcarriers in the time domain;
  • the average of the obtained responses is divided into two groups, wherein the average of the pilot subcarrier responses with the odd sequence number is a group, and the pilot number with the serial number is even.
  • the average of the subcarrier responses is a group, and column vectors are constructed according to each group. Constructing a matrix based on the constructed column vector includes:
  • A'' and ' ⁇ are responses of different pilot subcarriers
  • S103 The matrix processed by the scale and the trace of the processed matrix are normalized to the processed matrix.
  • the matrix is normalized according to the scale processed matrix and the trace of the matrix, including:
  • S104 Determine, according to the normalized matrix of each Tilestrip, an average value of the normalized matrix of each antenna, and determine the base station normalization according to the determined average value of the normalized matrix of each antenna. The average of the matrix after the transformation.
  • S105 Perform fast Fourier transform according to the elements in the average value of the matrix normalized by the base station, and perform frequency offset correction according to the result of the fast Fourier transform.
  • the method further includes: a column vector constructed according to an element in an average value of the normalized matrix, and a fast Fourier transform on the column vector a column vector constructed by the real part of the column vector, determining the position of the maximum value in the column vector of the real part structure;
  • a frequency offset estimation is performed to determine a normalized frequency offset. Since the embodiment of the present invention constructs a corresponding matrix by responding to all pilot subcarriers of each Tilestrip in each subchannel, and normalizing the constructed matrix, determining the average of the normalized matrix of each antenna. a value, thereby determining an average value of a matrix normalized by each receiving antenna of the base station, performing fast Fourier transform according to determining an average value of the normalized matrix of the base station, thereby performing frequency offset estimation, and estimating by frequency offset The result is frequency offset correction. Thereby, the estimation and correction of the frequency offset in the OFDM system is realized.
  • FIG. 2 is a schematic diagram of a basic resource structure of an uplink data channel in an IEEE 802.16e system.
  • the horizontal axis is a time domain OFDM symbol
  • the vertical axis is a frequency domain subcarrier, including N physical resource units, where the background is a shaded square.
  • the grid represents the pilot carrier, and the other squares represent the data carrier.
  • the scheme of frequency offset estimation and correction proposed by the embodiment of the present invention is implemented based on this structure.
  • a base station Since six Tilestrips are included in one subchannel, a base station includes a plurality of subchannels on one antenna.
  • a Tilestrip is selected, and responses of all pilot subcarriers in the Tilestrip are taken out, for example, ⁇ , ⁇ ... ⁇ and ⁇ ,) ⁇ Certainly ⁇ , where 111 is the mth subcarrier in the frequency domain, and n is the nth OFDM symbol in the time domain.
  • the responses to different pilot subcarriers are averaged for the same time domain OFDM symbols. According to the above FIG. 2, the process of finding the average value of the response is to divide the upper and lower pilots.
  • the response of the acquired different pilot subcarriers needs to be shifted right by 1 bit, and the response of the pilot subcarrier after the right shift is performed. Adding, then dividing by 2, is the average of the responses.
  • the sequence number corresponding to the average of the responses of the different pilot subcarriers is determined according to the number of the OFDM symbols of the pilot subcarriers in the time domain. After obtaining the average of the responses of different pilot subcarriers, the average value of the obtained responses is divided into In the two groups, the average of the responses of the pilot subcarriers with the odd sequence number is a group, and the average of the responses of the pilot subcarriers with the even sequence number is a group. That is due to
  • the first group includes , 3 ⁇ 4 ⁇ - ⁇
  • the second group includes
  • a column vector is constructed based on the average of the responses of the different pilot subcarriers contained in each group after grouping.
  • Z 2 [3 ⁇ 4, ,..., 3 ⁇ 4 ⁇ , and construct two matrices ⁇ and R 2 according to the constructed two column vectors ⁇ 1, ⁇ 2 , where
  • R R l + R 2.
  • the matrix R needs to be scaled, wherein the process of scaling the matrix R includes: determining an element M having the largest absolute value of the real part and the imaginary part of all elements in the matrix, where M is a value greater than 0; determining the number of bits S1 of the element M relative to the left bit shift of the 32-bit signed number; and according to the determined number of bits S1, the real part and the virtual step of all elements in the matrix R are shifted to the left by S1; The high 16 bits of the real part and the imaginary part of all the elements in the matrix after the left shift are intercepted as the matrix R after the scale processing.
  • the resulting matrix can be represented by R.
  • the process of the normalization process in the embodiment of the present invention includes: the matrix processed according to the scale R, and the trace of the R, matrix, normalize the matrix R after the scale processing. And normalizing the matrix R after the scale processing according to the matrix R after the scale processing, and the trace of the R, the matrix, comprising: determining a diagonal element of the matrix R after the scale processing The sum of the real part, the sum of the sum as the matrix R, the quotient of the trace R, and the trace of the matrix R, which is the normalized result R of the matrix R, ie irace( R ')
  • the trace ira (R ') of the matrix R ' may be first determined according to the sum of the real parts of the diagonal elements of the matrix R ', and the calculation ira ⁇
  • the maximum number of bits S2 can be shifted to the left, ⁇ ) is shifted left (S2-15), and scale(TileIdx) -S2 is recorded.
  • the 32-bit unsigned number division function divide 0x3ffffffff by trace R , and record the result W. At this time, the range of W is 0x3fff ⁇ 0x7ffff. All elements of the matrix R ' are multiplied by W to obtain a normalized matrix.
  • each Tilestrip is processed according to the above process, and the normalized matrix R corresponding to each Tilestrip is obtained. And the value of the scale(Tileldx) corresponding to the matrix, and the normalized matrix corresponding to all the Tilestrips in the subchannel is averaged for each subchannel.
  • the averaged matrix corresponding to all the tiles in the subchannel is averaged for each subchannel, including:
  • the normalized matrix of the Tilestrip corresponding to the scaleMin is the unified matrix corresponding to the Tilestrip.
  • each antenna includes a plurality of subchannels, and an average of the normalized matrices of each of the antennas is determined according to the determined normalized matrices of all the Tilestris in each subchannel.
  • the process of determining the average value of the normalized matrix of each antenna is similar to the process of determining the average value of the normalized matrix of each subchannel, that is, for each subchannel corresponding to the scale (channelldx), The minimum value of scale (channelldx), for the minimum value of the scale (channelldx), the unified matrix of each other subchannel relative to the minimum value of the scale (channelldx), unified for each subchannel A matrix, determining an average of the normalized matrix of the antenna, and taking the minimum value of the scale (channelldx) as the scale (AntIdx) of the antenna.
  • the average of the normalized matrix of the base station is determined according to the average of the normalized matrix of each antenna.
  • determining the average value of the normalized matrix of the base station determining the base station normalization according to the average value of the normalized matrix of each antenna and the scale (Antldx) of the antenna saved for each antenna.
  • the average of the matrix after the transformation, the specific process and the above-mentioned determination of the matrix of each subchannel normalized The mean, and the process of determining the average of the normalized matrix for each antenna are similar, and are not mentioned here.
  • N-k _ ' ° ( 0 ⁇ k ⁇ N )
  • Idx Idx - 512;
  • the normalized frequency offset is determined, wherein the normalized frequency offset D is.
  • all carriers scheduled for the current user can be , phase
  • D is the normalized frequency offset, which is the value of the carrier before the frequency offset correction
  • Si is the corrected value
  • the table creation process is as follows: Since the value of Idx is -128 ⁇ 127.
  • I cos( (2*3.14*Idx/3/512) * i) * 0x7fff;
  • Idx is -128 ⁇ 127.
  • I and Q are stored as high 16bit and low 16bit of the table, respectively.
  • FIG. 3 is a schematic structural diagram of an apparatus for frequency offset correction according to an embodiment of the present invention, where the apparatus includes:
  • a first normalization processing module 31 configured to receive data on an antenna of the base station, Obtaining an average value of responses of different pilot subcarriers according to responses of all pilot subcarriers of each Tilestrip in each subchannel, constructing a column vector according to the average of the responses of the obtained different pilot subcarriers, and constructing according to the The column vector constructs a matrix, performs scale processing on the constructed matrix, and normalizes the matrix according to the scale processed matrix and the trace of the matrix;
  • the second normalization processing module 32 is configured to determine, according to each Tilestrip normalized matrix, an average value of the normalized matrix of each antenna, and according to the determined matrix normalized by each antenna The average value of the average of the matrices of the base station;
  • the frequency offset correction module 33 is configured to perform fast Fourier transform according to the elements in the average value of the matrix normalized by the base station, and perform frequency offset correction according to the result of the fast Fourier transform.
  • the first normalization processing module 31 is specifically configured to determine, according to the number of OFDM symbols of the pilot subcarriers in the time domain, a sequence number corresponding to an average value of different pilot subcarriers; when different pilot subcarriers are acquired After the average of the responses, the average of the responses obtained is divided into two groups, wherein the average of the pilot subcarrier responses with odd sequence numbers is one group, and the average value of the pilot subcarrier responses with even serial numbers is one. Group, construct a column vector based on each group.
  • the first normalization processing module 31 is specifically configured to construct two matrices according to the constructed column vector ⁇ ⁇ , ⁇ 2, and
  • , '' and ' are the responses of the different pilot subcarriers; determine the sum of the two matrices R l and R 2 constructed, and construct the sum as a matrix of column vectors.
  • the first normalization processing module 31 is specifically configured to determine an element M having the largest absolute value among the real and imaginary parts of all elements in the matrix, where M is a value greater than zero; determining that the element M is symbolic with respect to 32 bits The number of bits shifted up to the left by S1; according to the determined number of bits S1, the matrix is The real and virtual steps of all elements are shifted to the left by the S1 bit; the high 16 bits of the real and imaginary parts of all elements in the matrix after truncation are taken as the matrix after scale processing, where M is a value greater than zero.
  • the first normalization processing module 31 is specifically configured to determine a sum of real parts of diagonal elements of the matrix after the scale processing, and use the sum as a trace of the matrix; determine a quotient of the matrix and the trace of the matrix, The quotient is the result of normalization to the matrix.
  • each Tilestrip is processed according to the above process, and each is obtained.
  • the normalized matrix R corresponding to Tilestri and the value of scale(Tileldx) corresponding to the matrix are averaged for each subchannel corresponding to the normalized matrix of all Tilestrips in the subchannel.
  • the averaged matrix corresponding to all the tiles in the subchannel is averaged for each subchannel, including:
  • the normalized matrix of the Tilestrip corresponding to the scaleMin is the unified matrix corresponding to the Tilestrip.
  • each antenna includes multiple subchannels, according to all determined within each subchannel
  • the normalized matrix corresponding to Tilestri is averaged to determine the average of the normalized matrix for each antenna.
  • the process of determining the average value of the normalized matrix of each antenna is similar to the process of determining the average value of the normalized matrix of each subchannel, that is, for each subchannel corresponding to the scale (channelldx), The minimum value of scale (channelldx), for the minimum value of the scale (channelldx), the unified matrix of each other subchannel relative to the minimum value of the scale (channelldx), unified for each subchannel A matrix, determining an average of the normalized matrix of the antenna, and taking the minimum value of the scale (channelldx) as the scale (AntIdx) of the antenna.
  • the average of the normalized matrix of the base station is determined based on the average of the normalized matrix of each antenna.
  • determining the average value of the normalized matrix of the base station determining the base station normalization according to the average value of the normalized matrix of each antenna and the scale (Antldx) of the antenna saved for each antenna.
  • the average value of the matrix after the normalization is similar to the above-mentioned method of determining the average value of the matrix normalized by each subchannel and determining the average value of the normalized matrix of each antenna, which will not be described here. .
  • the device also includes:
  • a frequency offset estimation module 34 configured to determine a real part of the column vector constructed according to an element in the average value of the normalized matrix, and a column vector constructed by the real part of the column vector fast Fourier transform The position of the maximum value in the constructed column vector; based on the determined position of the maximum value, frequency offset estimation is performed to determine the normalized frequency offset.
  • the frequency offset correction module 33 is specifically configured to perform frequency offset correction according to _ 2 ', where i represents an ith OFDM symbol and D is a normalized frequency offset.
  • Embodiments of the present invention provide a method and apparatus for frequency offset correction, which constructs a corresponding matrix by using responses of all pilot subcarriers of each Tilestrip in each subchannel, and normalizes the constructed matrix. Determining an average value of the normalized matrix of each antenna, thereby determining an average value of the normalized matrix of each receiving antenna of the base station, and performing fast Fourier according to determining the average value of the normalized matrix of the base station The leaf transforms, thereby performing frequency offset estimation, and performs frequency offset correction based on the result of the frequency offset estimation. Thereby, the estimation and correction of the frequency offset in the OFDM system is realized.

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Abstract

The invention provides a method and device for correcting frequency offset. Through the response of all the pilot carrier for every tilestrip in every sub-channel, the corresponding matrix is Constructed, and the constructed matrix is normalized, and the average of the normalized matrix of every antenna is determined, thus the average of the normalized matrix of every received antenna for the base station is determined, and the Fast Fourier Transform (FFT) is proceeded according to it, thereby the estimation of the frequency offset is proceeded, then the frequency offset is corrected according to the result of the estimation of the frequency offset. Consequently the estimation and correction of the frequency offset is realized in the Orthogonal Frequency Division Multiplexing (OFDM) system.

Description

一种频偏校正的方法及装置 技术领域  Method and device for frequency offset correction
本发明涉及无线通信技术领域, 尤其涉及一种频偏校正的方法及装置。 背景技术  The present invention relates to the field of wireless communication technologies, and in particular, to a frequency offset correction method and apparatus. Background technique
正交频分复用 ( Orthogonal Frequency Division Multiplexing , OFDM ) 技术中, 要求子载波频谱相互重叠, 因此对子载波间的正交性提出了比较 严格的要求。 一旦子载波间的正交性不能严格满足, 则各个子载波之间就 会产生干扰, 从而恶化系统的性能。 因此对于 OFDM系统及多输入多输出 In the Orthogonal Frequency Division Multiplexing (OFDM) technology, the subcarrier spectrums are required to overlap each other, so strict requirements are imposed on the orthogonality between subcarriers. Once the orthogonality between the subcarriers is not strictly satisfied, interference occurs between the subcarriers, thereby deteriorating the performance of the system. So for OFDM systems and multiple input multiple outputs
( Multiple-Input Multiple-Out-put, MIMO ) -OFDM系统中, 收发端载波频 率的同步性和载波相位的稳定性提出了较高的要求。 (Multi-Input Multiple-Out-put, MIMO) - In OFDM systems, the synchronization of the carrier frequency at the transceiver end and the stability of the carrier phase pose high requirements.
来自发射机与接收机本地振荡器(LO )之间的频率偏差称为载波频偏 The frequency deviation from the transmitter to the local oscillator (LO) of the receiver is called the carrier frequency offset.
( CFO ), 在移动信道环境下多普勒频移也是 CFO来源之一。 CFO不但造 成解调星座点的相位旋转从而影响符号判决, 并且还会使得 OFDM系统子 载波之间的正交性遭到破坏, 从而导致子载波间的相互干扰(ICI ), 造成系 统性能的严重下降。另夕卜,早起已经证明较小的 CFO就会导致 OFDM很大 的系统性能损失, 并且还表明在加性高斯白噪声 ( Additive White Gaussion Noise, AWGN )信道下大于子载波间隔的 4%, 在多径衰落信道下大于子 载波间隔的 2%的 CFO对系统的性能造成的损失就无法忽略了, 必须采取 CFO估计和补偿措施。 MIMO-OFDM系统对 CFO也同样十分敏感。 (CFO), Doppler shift is also one of the CFO sources in mobile channel environments. The CFO not only causes the phase rotation of the demodulation constellation point to affect the symbol decision, but also causes the orthogonality between the subcarriers of the OFDM system to be destroyed, resulting in mutual interference (ICI) between the subcarriers, resulting in serious system performance. decline. In addition, early rise has shown that a smaller CFO will result in a large system performance loss of OFDM, and also shows that under the Additive White Gaussian Noise (AWGN) channel, it is greater than 4% of the subcarrier spacing. The loss caused by the CFO of the multipath fading channel greater than 2% of the subcarrier spacing can not be neglected, and CFO estimation and compensation measures must be taken. MIMO-OFDM systems are also very sensitive to CFOs.
由于 OFDM系统和 MIMO-OFDM系统对 CFO的敏感性 , 使得实际系 统设计必须采取 CFO估计和校正措施来保证系统性能, 但目前并没有相关 技术支持。 发明内容 Due to the sensitivity of the OFDM system and the MIMO-OFDM system to the CFO, the actual system design must adopt CFO estimation and correction measures to ensure system performance, but there is no relevant technical support at present. Summary of the invention
有鉴于此, 本发明实施例提供一种频偏校正的方法及装置, 用以对 In view of this, an embodiment of the present invention provides a method and apparatus for frequency offset correction, which are used to
OFDM系统及 MIMO-OFDM系统中的载波频偏进行估计和校正。 The carrier frequency offset in the OFDM system and the MIMO-OFDM system is estimated and corrected.
为了达到上述目的, 本发明的技术方案是这样实现的:  In order to achieve the above object, the technical solution of the present invention is achieved as follows:
一种频偏校正的方法, 包括:  A method for frequency offset correction, comprising:
针对基站的一根天线上接收到的数据,根据每个子信道内每个 Tilestrip 的所有导频子载波的响应, 获取不同导频子载波的响应的平均值, 据此构 造列向量, 并根据构造的列向量构造矩阵, 对构造的矩阵进行 scale处理, 并对 scale处理后的矩阵进行归一化处理;  For the data received on one antenna of the base station, the average of the responses of the different pilot subcarriers is obtained according to the response of all the pilot subcarriers of each Tilestrip in each subchannel, and the column vector is constructed according to this, and according to the structure The column vector constructs the matrix, scales the constructed matrix, and normalizes the scaled matrix;
根据每个 Tilestri 归一化处理后的矩阵,确定每根天线归一化后的矩阵 的平均值, 据此确定所述基站归一化后的矩阵的平均值;  Determining, based on each Tilestri normalized matrix, an average of the normalized matrix of each antenna, and determining an average of the normalized matrix of the base station;
根据基站归一化后的矩阵的平均值中的元素, 进行快速傅里叶变换, 并根据快速傅里叶变换后的结果进行频偏校正。  The fast Fourier transform is performed according to the elements in the average value of the matrix normalized by the base station, and the frequency offset correction is performed according to the result of the fast Fourier transform.
其中, 根据获取的不同导频子载波的响应的平均值构造列向量的过程, 包括:  The process of constructing a column vector according to the average of the responses of the different pilot subcarriers obtained includes:
根据导频子载波在时域上的正交频分复用 OFDM符号的编号, 确定不 同导频子载波平均值对应的序列号;  Determining a sequence number corresponding to the average value of the different pilot subcarriers according to the number of orthogonal frequency division multiplexing OFDM symbols of the pilot subcarrier in the time domain;
当获取到不同导频子载波的响应平均值后, 将获取的响应平均值分为 两组, 其中序列号为奇数的导频子载波响应的平均值为一组, 序列号为偶 数的导频子载波响应的平均值为一组, 根据每一组构造列向量。  After obtaining the average of the responses of the different pilot subcarriers, the average of the obtained responses is divided into two groups, wherein the average of the pilot subcarrier responses with the odd sequence number is a group, and the pilot number with the serial number is even. The average of the subcarrier responses is a group, and column vectors are constructed according to each group.
其中, 根据构造的列向量构造矩阵的过程, 包括:  The process of constructing a matrix according to the constructed column vector includes:
根据构造的列向量 ζι, 构造两个矩阵 和 ^ , 其中, Construct two matrices and ^ according to the constructed column vector ζ ι , where
Figure imgf000004_0001
其中 '— 2 , ,''和 ,''为不同导频子载波的响应; 将所述两个矩阵 Ri和 的和作为列向量构造的矩阵。
Figure imgf000004_0001
Where '— 2 , , '′ and, '′ are responses of different pilot subcarriers; a matrix constructed by combining the sum of the two matrices R i as a column vector.
其中, 构造所述两个矩阵 和 ^之前, 所述方法还包括:  Wherein, before constructing the two matrices and ^, the method further includes:
将所述两个矩阵 和 中的每个元素右移 1位。  Move each of the two matrices and right one bit to the right.
其中, 对构造的矩阵进行 scale处理的过程包括:  The process of performing scale processing on the constructed matrix includes:
确定构造的所述矩阵中所有元素的实部和虚部中绝对值最大的元素 Determining the largest absolute element of the real and imaginary parts of all elements in the constructed matrix
M; M;
确定元素 M相对于 32bit有符号数最多左移的位数 S1 ;  Determine the number of bits S1 of the element M relative to the 32-bit signed number of left shifts;
根据确定的位数 S1 , 将该矩阵中所有元素的实部和虚步都相应的左移 S1位;  According to the determined number of bits S1, the real part and the virtual step of all elements in the matrix are shifted to the left by S1 bit;
截取左移后的所述矩阵中所有元素的实部和虚部的高 16bit, 以此作为 scale处理后的矩阵。  The height 16 bits of the real part and the imaginary part of all elements in the matrix after the left shift are intercepted, and this is used as a scale processed matrix.
其中, 所述对 scale处理后的矩阵进行归一化处理的过程, 包括: 确定 scale处理后的矩阵的对角线元素的实部的和, 将该和作为矩阵的 迹; 确定该矩阵以及该矩阵的迹的商, 将该商作为对矩阵归一化后的结果。  The process of normalizing the scaled matrix includes: determining a sum of real parts of the diagonal elements of the matrix after the scale processing, using the sum as a trace of the matrix; determining the matrix and the The quotient of the trace of the matrix, which is the result of normalization of the matrix.
其中, 根据快速傅里叶变换后的结果进行频偏校正的过程, 包括:  The process of performing frequency offset correction according to the result of the fast Fourier transform includes:
_ -;'-Δ? ! -1  _ -;'-Δ? ! -1
根据 _ 3 进行频偏校正,其中 i表示第 i个 OFDM符号,Frequency offset correction according to _ 3 , where i represents the ith OFDM symbol,
D 为归一化频偏, 为频偏校正前载波的值, Si为校正后的值。 D is the normalized frequency offset, which is the value of the carrier before the frequency offset correction, and Si is the corrected value.
其中, 进行所述频偏校正之前, 所述方法还包括:  The method further includes: before performing the frequency offset correction, the method further includes:
根据归一化后的矩阵的平均值中的元素构造的列矢量, 及对该列矢量 快速傅里叶变换后列矢量实部构造的列矢量, 确定该实部构造的列矢量中 最大值的位置, 据此进行频偏估计以确定归一化频偏。  Determining the maximum value of the column vector of the real part structure according to the column vector constructed by the element in the average value of the normalized matrix and the column vector constructed by the real part of the column vector fast Fourier transform Position, based on which frequency offset estimation is performed to determine the normalized frequency offset.
一种频偏校正的装置, 包括:  A frequency offset correction device includes:
第一归一化处理模块, 用于针对基站的一根天线上接收到的数据, 根 据每个子信道内每个 Tilestrip的所有导频子载波的响应,获取不同导频子载 波的响应的平均值, 据此构造列向量, 并根据构造的列向量构造矩阵, 对 构造的矩阵进行 scale处理, 并对 scale处理后的矩阵进行归一化处理; 第二归一化处理模块,用于根据每个 Tilestrip归一化处理后的矩阵,确 定每根天线归一化后的矩阵的平均值, 据此确定所述基站归一化后的矩阵 的平均值; a first normalization processing module, configured to receive data on an antenna of a base station, Obtaining the average of the responses of different pilot subcarriers according to the response of all the pilot subcarriers of each Tilestrip in each subchannel, constructing a column vector according to the structure, and constructing a matrix according to the constructed column vector to scale the constructed matrix Processing, normalizing the scaled matrix; a second normalization processing module for determining an average of the normalized matrix of each antenna according to the normalized matrix of each Tilestrip And determining an average value of the normalized matrix of the base station according to the method;
频偏校正模块, 用于根据所述基站归一化后的矩阵的平均值中的元素, 进行快速傅里叶变换, 并根据快速傅里叶变换后的结果进行频偏校正。  And a frequency offset correction module, configured to perform fast Fourier transform according to an element in an average value of the matrix normalized by the base station, and perform frequency offset correction according to the result of the fast Fourier transform.
其中, 所述第一归一化处理模块根据获取的不同导频子载波的响应的 平均值构造列向量时, 用于:  The first normalization processing module is configured to: when constructing a column vector according to the average of the responses of the different pilot subcarriers obtained:
根据导频子载波在时域上的 OFDM符号的编号, 确定不同导频子载波 平均值对应的序列号;  Determining a sequence number corresponding to an average value of different pilot subcarriers according to a number of OFDM symbols of the pilot subcarrier in the time domain;
当获取到不同导频子载波的响应平均值后, 将获取的响应平均值分为 两组, 其中序列号为奇数的导频子载波响应的平均值为一组, 序列号为偶 数的导频子载波响应的平均值为一组, 根据每一组构造列向量。  After obtaining the average of the responses of the different pilot subcarriers, the average of the obtained responses is divided into two groups, wherein the average of the pilot subcarrier responses with the odd sequence number is a group, and the pilot number with the serial number is even. The average of the subcarrier responses is a group, and column vectors are constructed according to each group.
其中, 所述第一归一化处理模块根据构造的列向量构造矩阵时, 用于: 根据构造的列向量 ζι, z2构造两个矩阵 和 ^ , 其中, The first normalization processing module constructs a matrix according to the constructed column vector, and is configured to: construct two matrices and ^ according to the constructed column vector ζ ι, z 2 , where
z2z4' 'Z. 2N z 2 z 4 ''Z. 2N
其中
Figure imgf000006_0001
, ,''和 为不同导频子载波的响应;
among them
Figure imgf000006_0001
, , '' and the response for different pilot subcarriers;
将所述两个矩阵 ^和 R2的和作为列向量构造的矩阵。 The sum of the two matrices ^ and R 2 is constructed as a matrix of column vectors.
其中,所述第一归一化处理模块对构造的矩阵进行 scale处理时,用于: 确定构造的所述矩阵中所有元素的实部和虚部中绝对值最大的元素 M; The first normalization processing module performs scale processing on the constructed matrix, and is used to: determine an element with the largest absolute value of the real part and the imaginary part of all elements in the constructed matrix. M;
确定元素 M相对于 32bit有符号数最多左移的位数 SI;  Determining the number of bits of the element M relative to the 32-bit signed number of left shifts SI;
根据确定的位数 S1 , 将该矩阵中所有元素的实部和虚步都相应的左移 S1位;  According to the determined number of bits S1, the real part and the virtual step of all elements in the matrix are shifted to the left by S1 bit;
截取左移后的所述矩阵中所有元素的实部和虚部的高 16bit, 以此作为 scale处理后的矩阵。  The height 16 bits of the real part and the imaginary part of all elements in the matrix after the left shift are intercepted, and this is used as a scale processed matrix.
其中, 所述第一归一化处理模块在对 scale处理后的矩阵进行归一化处 理时, 用于:  The first normalization processing module is used to: when normalizing the scale processed matrix:
确定 scale处理后的矩阵的对角线元素的实部的和, 将该和作为矩阵的 迹; 确定该矩阵以及该矩阵的迹的商, 将该商作为对矩阵归一化后的结果。  The sum of the real parts of the diagonal elements of the matrix after scale processing is determined, and the sum is taken as a trace of the matrix; the quotient of the matrix and the trace of the matrix is determined, and the quotient is used as a result of normalization to the matrix.
其中, 所述频偏校正模块根据快速傅里叶变换后的结果进行频偏校正 时, 用于: 根据 _ 3 进行频偏校正,其中 i表示第 i个 OFDM符号,Wherein the offset correction module corrects the frequency offset based on a result of the fast Fourier transform, for: _ offset correction is performed according to 3, where i represents the i-th OFDM symbol,
D 为归一化频偏, 为频偏校正前载波的值, Si为校正后的值。 D is the normalized frequency offset, which is the value of the carrier before the frequency offset correction, and Si is the corrected value.
其中, 所述装置还包括:  The device further includes:
频偏估计模块, 用于根据归一化后的矩阵的平均值中的元素构造的列 矢量, 及对该列矢量快速傅里叶变换后列矢量实部构造的列矢量, 确定该 实部构造的列矢量中最大值的位置, 据此进行频偏估计以确定归一化频偏。  a frequency offset estimation module, configured to determine a real part structure according to a column vector constructed by an element in an average value of the normalized matrix and a column vector constructed by the real part of the column vector fast Fourier transform The position of the maximum value in the column vector, from which the frequency offset estimation is performed to determine the normalized frequency offset.
本发明实施例提供了一种频偏校正的方法及装置, 通过每个子信道内 每个 Tilestrip的所有导频子载波的响应,构造相应的矩阵,并对构造的矩阵 进行归一化处理, 确定每根天线归一化后的矩阵的平均值, 从而确定基站 中每根接收天线归一化后的矩阵的平均值, 根据确定基站归一化后的矩阵 的平均值, 进行快速傅里叶变换, 从而进行频偏估计, 根据频偏估计的结 果进行频偏校正。 本发明实现了对 OFDM系统中频偏的估计及校正。 附图说明 Embodiments of the present invention provide a method and apparatus for frequency offset correction, constructing corresponding matrices by using responses of all pilot subcarriers of each Tilestrip in each subchannel, and normalizing and processing the constructed matrix to determine The average of the normalized matrix of each antenna, thereby determining the average of the normalized matrix of each receiving antenna in the base station, and performing fast Fourier transform according to determining the average value of the normalized matrix of the base station Therefore, the frequency offset estimation is performed, and the frequency offset correction is performed according to the result of the frequency offset estimation. The invention achieves estimation and correction of frequency offset in an OFDM system. DRAWINGS
图 1为本发明实施例的频偏校正的流程图;  1 is a flow chart of frequency offset correction according to an embodiment of the present invention;
图 2为 IEEE802.16e系统中上行数据信道的基本资源结构示意图; 图 3为本发明实施例的频偏校正的装置图。 具体实施方式  2 is a schematic diagram of a basic resource structure of an uplink data channel in an IEEE 802.16e system; FIG. 3 is a diagram of a device for frequency offset correction according to an embodiment of the present invention. detailed description
为了使本发明所要解决的技术问题、 技术方案及有益效果更加清楚、 明白, 以下结合附图和实施例, 对本发明进行进一步详细说明。 应当理解, 此处所描述的具体实施例仅仅用以解释本发明, 并不用于限定本发明。  The present invention will be further described in detail below with reference to the accompanying drawings and embodiments in order to make the present invention. It is understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
图 1为本发明实施例提供的频偏校正的过程, 该过程包括以下步驟: FIG. 1 is a process of frequency offset correction according to an embodiment of the present invention, where the process includes the following steps:
S101 : 针对基站的一根天线上接收到的数据, 根据每个子信道内每个 Tilestrip的所有导频子载波的响应, 获取不同导频子载波的响应的平均值。 S101: Obtain an average value of responses of different pilot subcarriers according to responses of all pilot subcarriers of each Tilestrip in each subchannel for data received on one antenna of the base station.
其中, Tilestrip为一个用户在相同频率资源上的 Tile的集合, 是一个 2 维概念。 对于子信道部分占用 (PUSC ) 的载波映射方式, Tilestrip 包含 ( 4*3*SlotDurNum )个子载波。  Among them, Tilestrip is a collection of Tiles of a user on the same frequency resource, which is a 2-dimensional concept. For subcarrier part occupancy (PUSC) carrier mapping, the Tilestrip contains (4*3*SlotDurNum) subcarriers.
S102: 根据获取的不同导频子载波的响应的平均值构造列向量, 并根 据构造的列向量构造矩阵, 对构造的矩阵进行定标(scale )处理。  S102: Construct a column vector according to the average of the responses of the obtained different pilot subcarriers, and construct a matrix according to the constructed column vector, and perform scale processing on the constructed matrix.
所述定标 scale处理, 即将一组数据放大或缩小 2a倍, 以适应其存储 范围; 其中 a即为 scale值, 所述 2a倍等价于移 a位; a为正表示左移, a 为负表示右移。  The scaled scale processing, that is, a set of data is enlarged or reduced by 2a times to adapt to its storage range; wherein a is a scale value, the 2a times is equivalent to shifting a bit; a is positive means left shift, a is Negative means right shift.
根据获取的不同导频子载波的响应的平均值构造列向量, 包括: 根据导频子载波在时域上的 OFDM符号的编号, 确定不同导频子载波 平均值对应的序列号;  Configuring the column vector according to the average of the responses of the different pilot subcarriers obtained includes: determining the sequence number corresponding to the average value of the different pilot subcarriers according to the number of the OFDM symbols of the pilot subcarriers in the time domain;
当获取到不同导频子载波的响应平均值后, 将获取的响应平均值分为 两组, 其中序列号为奇数的导频子载波响应的平均值为一组, 序列号为偶 数的导频子载波响应的平均值为一组, 根据每一组构造列向量。 根据构造的列向量构造矩阵包括: After obtaining the average of the responses of the different pilot subcarriers, the average of the obtained responses is divided into two groups, wherein the average of the pilot subcarrier responses with the odd sequence number is a group, and the pilot number with the serial number is even. The average of the subcarrier responses is a group, and column vectors are constructed according to each group. Constructing a matrix based on the constructed column vector includes:
根据构造的列向量 Z1,Z2 , 构造两个矩阵, Construct two matrices according to the constructed column vector Z 1, Z 2 ,
Rl = ¾Z4 ' 'Z. 2N R l = 3⁄4 Z 4 ''Z. 2N
其中
Figure imgf000009_0001
, A''和 '·为不同导频子载波的响应;
among them
Figure imgf000009_0001
, A'' and '· are responses of different pilot subcarriers;
确定构造的两个矩阵 和 ^的和, 将该和作为列向量构造的矩阵。 Determine the sum of the two matrices of the construct and ^, and construct the sum as a matrix of the column vectors.
S103: ^^据 scale处理后的矩阵, 以及该处理后的矩阵的迹对该处理后 的矩阵进行归一化处理。 S103: The matrix processed by the scale and the trace of the processed matrix are normalized to the processed matrix.
具体的在本发明实施例中, 根据 scale处理后的矩阵, 以及该矩阵的迹 对该矩阵进行归一化处理, 包括:  Specifically, in the embodiment of the present invention, the matrix is normalized according to the scale processed matrix and the trace of the matrix, including:
确定 scale处理后的矩阵的对角线元素的实部的和, 将该和作为矩阵的 迹;  Determining the sum of the real parts of the diagonal elements of the matrix after the scale processing, and using the sum as a trace of the matrix;
确定该矩阵以及该矩阵的迹的商, 将该商作为对矩阵归一化后的结果。 S104: 根据每个 Tilestrip 归一化处理后的矩阵, 确定每根天线归一化 后的矩阵的平均值, 并根据确定的每根天线归一化后的矩阵的平均值, 确 定该基站归一化后的矩阵的平均值。  The quotient of the matrix and the trace of the matrix is determined, and the quotient is used as a result of normalization to the matrix. S104: Determine, according to the normalized matrix of each Tilestrip, an average value of the normalized matrix of each antenna, and determine the base station normalization according to the determined average value of the normalized matrix of each antenna. The average of the matrix after the transformation.
S105: 根据基站归一化后的矩阵的平均值中的元素, 进行快速傅里叶 变换, 并根据快速傅里叶变换后的结果进行频偏校正。  S105: Perform fast Fourier transform according to the elements in the average value of the matrix normalized by the base station, and perform frequency offset correction according to the result of the fast Fourier transform.
根据快速傅里叶变换后的结果进行频偏校正之前, 所述方法还包括: 根据归一化后的矩阵的平均值中的元素构造的列矢量, 及对该列矢量 快速傅里叶变换后列矢量实部构造的列矢量, 确定该实部构造的列矢量中 最大值的位置;  Before the frequency offset correction is performed according to the result of the fast Fourier transform, the method further includes: a column vector constructed according to an element in an average value of the normalized matrix, and a fast Fourier transform on the column vector a column vector constructed by the real part of the column vector, determining the position of the maximum value in the column vector of the real part structure;
根据确定的该最大值的位置, 进行频偏估计, 确定归一化频偏。 由于本发明实施例通过每个子信道内每个 Tilestrip 的所有导频子载波 的响应, 构造相应的矩阵, 并对构造的矩阵进行归一化处理, 确定每根天 线归一化后的矩阵的平均值, 从而确定该基站每根接收天线归一化后的矩 阵的平均值, 根据确定基站归一化后的矩阵的平均值, 进行快速傅里叶变 换, 从而进行频偏估计, 根据频偏估计的结果进行频偏校正。 从而实现了 对 OFDM系统中频偏的估计及校正。 Based on the determined position of the maximum value, a frequency offset estimation is performed to determine a normalized frequency offset. Since the embodiment of the present invention constructs a corresponding matrix by responding to all pilot subcarriers of each Tilestrip in each subchannel, and normalizing the constructed matrix, determining the average of the normalized matrix of each antenna. a value, thereby determining an average value of a matrix normalized by each receiving antenna of the base station, performing fast Fourier transform according to determining an average value of the normalized matrix of the base station, thereby performing frequency offset estimation, and estimating by frequency offset The result is frequency offset correction. Thereby, the estimation and correction of the frequency offset in the OFDM system is realized.
图 2为 IEEE802.16e系统中上行数据信道的基本资源结构示意图,在该 图 2中横轴为时域 OFDM符号, 纵轴为频域子载波, 包括 N个物理资源单 元, 其中背景为阴影方格代表导频载波, 其他的方格代表数据载波。 本发 明实施例提出的频偏估计及校正的方案就是基于这种结构实现的。  2 is a schematic diagram of a basic resource structure of an uplink data channel in an IEEE 802.16e system. In FIG. 2, the horizontal axis is a time domain OFDM symbol, and the vertical axis is a frequency domain subcarrier, including N physical resource units, where the background is a shaded square. The grid represents the pilot carrier, and the other squares represent the data carrier. The scheme of frequency offset estimation and correction proposed by the embodiment of the present invention is implemented based on this structure.
由于在一个子信道( Subchannel ) 内包括 6个 Tilestrip, 而基站的一根 天线上包括多个子信道。 在本发明实施例中, 首先针对基站的一根接收天 线上接收到的数据, 从中选择出一个 Tilestrip, 取出该 Tilestrip中所有导频 子载波的响应, 例如分别为^^,^ … ^和)^,)^…)^ , 其中 中 111为 频域上的第 m个子载波, n为时域上第 n个 OFDM符号。 Since six Tilestrips are included in one subchannel, a base station includes a plurality of subchannels on one antenna. In the embodiment of the present invention, first, for a data received on a receiving antenna of a base station, a Tilestrip is selected, and responses of all pilot subcarriers in the Tilestrip are taken out, for example, ^^, ^ ... ^ and ^,)^...)^ , where 111 is the mth subcarrier in the frequency domain, and n is the nth OFDM symbol in the time domain.
针对相同的时域 OFDM符号, 对不同的导频子载波的响应求平均值。 其中根据上述图 2可知, 该求响应平均值的过程即为将上下两个导频子载  The responses to different pilot subcarriers are averaged for the same time domain OFDM symbols. According to the above FIG. 2, the process of finding the average value of the response is to divide the upper and lower pilots.
Figure imgf000010_0001
。 具体的, 在获取不同导频子载波的响应平均值时, 在定点化实现过程中, 需将获取的不同导频子载波的响应右移 1位, 将右 移后的导频子载波的响应相加, 之后进行除 2, 即为响应的平均值。
Figure imgf000010_0001
. Specifically, when obtaining the average value of the response of the different pilot subcarriers, in the process of the fixed point implementation, the response of the acquired different pilot subcarriers needs to be shifted right by 1 bit, and the response of the pilot subcarrier after the right shift is performed. Adding, then dividing by 2, is the average of the responses.
在确定不同导频子载波的响应的平均值时, 根据导频子载波在时域上 的 OFDM符号的编号,确定不同导频子载波的响应的平均值对应的序列号。 当获取到不同导频子载波的响应的平均值后, 将获取的响应的平均值分为 两组, 其中序列号为奇数的导频子载波的响应的平均值为一组, 序列号为 偶数的导频子载波的响应的平均值为一组。 即由于
Figure imgf000011_0001
When determining the average of the responses of the different pilot subcarriers, the sequence number corresponding to the average of the responses of the different pilot subcarriers is determined according to the number of the OFDM symbols of the pilot subcarriers in the time domain. After obtaining the average of the responses of different pilot subcarriers, the average value of the obtained responses is divided into In the two groups, the average of the responses of the pilot subcarriers with the odd sequence number is a group, and the average of the responses of the pilot subcarriers with the even sequence number is a group. That is due to
Figure imgf000011_0001
因此在将 , '" 分为两组时, 第一组包括 ,¾ν- ι , 第二组包括Therefore, when ' , ' is divided into two groups, the first group includes , 3⁄4ν- ι , and the second group includes
……,¾ 。 根据分组后的每个组中包含的不同导频子载波的响应的平 均值, 构造列向量。 其中构造的列向量分别为 Ζι = ……,¾v— 和 ..., 3⁄4. A column vector is constructed based on the average of the responses of the different pilot subcarriers contained in each group after grouping. The column vectors constructed here are Ζ ι = ......, 3⁄4v— and
Z2 = [¾, ,……,¾ν , 并根据构造的两个列向量 Ζ1,Ζ2构造两个矩阵 ^和 R2 , 其中, Z 2 = [3⁄4, ,..., 3⁄4ν , and construct two matrices ^ and R 2 according to the constructed two column vectors Ζ 1, Ζ 2 , where
Rl = Zl■ Zl z2z4' '乙 2N
Figure imgf000011_0002
R l = Z l■ Z lz 2 z 4 ''B 2N
Figure imgf000011_0002
确定构造的两个矩阵的和, 即求 ^和^的和, 将其和作为 R ,  Determine the sum of the two matrices of the construct, that is, find the sum of ^ and ^, and sum it as R.
R = Rl + R2。 在确定构造的两个矩阵的和之前, 需要将矩阵 和 ^中的每 个元素右移 1位, 将右移 1位后的两个矩阵的和作为矩阵 R。 R = R l + R 2. Before determining the sum of the two matrices constructed, it is necessary to shift each element of the matrix and ^ to the right by 1 bit, and the sum of the two matrices shifted by 1 bit to the right as the matrix R.
当确定了矩阵 R后, 需要对矩阵 R进行 scale处理, 其中对矩阵 R进 行 scale处理的过程包括: 确定该矩阵中所有元素的实部和虚部中绝对值最 大的元素 M, 其中, M为大于 0的数值; 确定元素 M相对于 32bit有符号 数最多左移的位数 S1 ; 根据确定的位数 S1 , 将该矩阵 R中所有元素的实部 和虚步都相应的左移 S1位; 截取左移后的该矩阵中所有元素的实部和虚部 的高 16bit作为 scale处理后的矩阵 R,。 对该矩阵 R进行了 scale处理后, 得到的矩阵可以用 R, 表示。  After the matrix R is determined, the matrix R needs to be scaled, wherein the process of scaling the matrix R includes: determining an element M having the largest absolute value of the real part and the imaginary part of all elements in the matrix, where M is a value greater than 0; determining the number of bits S1 of the element M relative to the left bit shift of the 32-bit signed number; and according to the determined number of bits S1, the real part and the virtual step of all elements in the matrix R are shifted to the left by S1; The high 16 bits of the real part and the imaginary part of all the elements in the matrix after the left shift are intercepted as the matrix R after the scale processing. After the matrix R is scaled, the resulting matrix can be represented by R.
得到了矩阵 R, 后需要对该 scale处理后的矩阵进行归一化处理, 其中 在本发明实施例中该归一化处理的过程包括: 根据该 scale 处理后的矩阵 R,, 以及该 R, 矩阵的迹, 对该 scale处理后的矩阵 R, 进行归一化处理。 其中,根据该 scale处理后的矩阵 R,, 以及该 R, 矩阵的迹,对该 scale 处理后的矩阵 R, 进行归一化处理, 包括: 确定 scale处理后的矩阵 R, 的 对角线元素的实部的和, 将该和作为矩阵 R, 的迹; 确定该矩阵 R, 以及该 矩阵 R, 的迹的商, 将该商作为对矩阵 R, 归一化后的结果 R , 即 irace(R ')After the matrix R is obtained, the matrix processed by the scale needs to be normalized. The process of the normalization process in the embodiment of the present invention includes: the matrix processed according to the scale R, and the trace of the R, matrix, normalize the matrix R after the scale processing. And normalizing the matrix R after the scale processing according to the matrix R after the scale processing, and the trace of the R, the matrix, comprising: determining a diagonal element of the matrix R after the scale processing The sum of the real part, the sum of the sum as the matrix R, the quotient of the trace R, and the trace of the matrix R, which is the normalized result R of the matrix R, ie irace( R ')
Figure imgf000012_0001
为矩阵 的迹。
Figure imgf000012_0001
The trace of the matrix.
具体的在通过计算机实现该矩阵 R, 的归一化过程时, 可以首先根据 矩阵 R '的对角线元素的实部的和, 确定该矩阵 R '的迹 ira (R ') , 计算 ira^ )相对于 32bit有符号数可以最多左移的位数 S2 , 将 ^ )左移 ( S2-15 )位, 并记录 scale(TileIdx)=-S2。 调用 32位无符号数除法函数, 用 0x3fffffff除以 trace R , 记录结果 W, 此时 W的范围为 0x3fff~0x7fff。 矩 阵 R '的所有元素都乘以 W, 得到归一化后的矩阵 。 Specifically, when the normalization process of the matrix R is implemented by a computer, the trace ira (R ') of the matrix R ' may be first determined according to the sum of the real parts of the diagonal elements of the matrix R ', and the calculation ira^ With respect to the 32-bit signed number, the maximum number of bits S2 can be shifted to the left, ^) is shifted left (S2-15), and scale(TileIdx) = -S2 is recorded. Call the 32-bit unsigned number division function, divide 0x3fffffff by trace R , and record the result W. At this time, the range of W is 0x3fff~0x7fff. All elements of the matrix R ' are multiplied by W to obtain a normalized matrix.
在上述过程中是针对子信道内的一个 Tilestrip进行的处理,由于每个子 信道包括 6个 Tilestrip , 针对每个 Tilestrip都依据上述过程进行处理, 得到 与每个 Tilestrip对应的归一化后的矩阵 R , 以及对应该矩阵的 scale(Tileldx) 的值,针对每个子信道对该子信道内的所有 Tilestrip对应的归一化后的矩阵 求平均值。  In the above process, it is processed for one Tilestrip in the subchannel. Since each subchannel includes 6 Tilestrips, each Tilestrip is processed according to the above process, and the normalized matrix R corresponding to each Tilestrip is obtained. And the value of the scale(Tileldx) corresponding to the matrix, and the normalized matrix corresponding to all the Tilestrips in the subchannel is averaged for each subchannel.
其中,针对每个子信道对该子信道内的所有 Tilestrip对应的归一化后的 矩阵求平均值, 包括:  The averaged matrix corresponding to all the tiles in the subchannel is averaged for each subchannel, including:
根据该子信道中每个 Tilestrip 对应的进行归一化过程中保存的 scale(Tileldx)的值, 查找该 6个 Tilestrip对应的 scale(Tileldx)的最小值, 将 该最小值 i己为 scaleMin; 该 scale(Tileldx)的最小值对应的 Tilestrip进行归一化后的矩阵 R不进行 处理,但对其他 Tilestrip对应的归一化后的矩阵 R中的所有元素的实部和虚 部, 右移相应的位数, 其中右移的位数为该其他 Tilestrip 的 scale(Tileldx) 与该 scaleMin的差值, 将右移后的矩阵作为该其他 Tilestri 对应的统一化 后的矩阵; Finding a minimum value of a scale (Tileldx) corresponding to the six Tilestrips according to a value of a scale (Tileldx) saved in the normalization process corresponding to each Tilestrip in the subchannel, and the minimum value i is a scaleMin; The matrix R after the normalization of the Tilestrip corresponding to the minimum value of scale(Tileldx) is not performed. Processing, but for the real and imaginary parts of all elements in the normalized matrix R corresponding to other Tilestrip, right shift the corresponding number of bits, where the right shift is the scale of the other Tilestrip (Tileldx) and The difference of scaleMin, the matrix after the right shift is used as the unified matrix corresponding to the other Tilestri;
根据每个 Tilestrip对应的统一化后的矩阵,确定该子信道统一化后的矩 阵的平均值 R , 并将该 scaleMin作为该子信道的 scale ( channelldx) , 即  Determining, according to the unified matrix corresponding to each Tilestrip, an average value R of the unified matrix of the subchannel, and using the scaleMin as the scale (channelldx) of the subchannel, that is,
6 = ! , 为每个 Tilestrip对应的统一化后的矩阵, 该 scaleMin对应 的 Tilestrip的归一化后的矩阵即为该 Tilestrip对应的统一化后的矩阵。 6 = ! , for each unified matrix corresponding to the Tilestrip, the normalized matrix of the Tilestrip corresponding to the scaleMin is the unified matrix corresponding to the Tilestrip.
上述过程中针对每个子信道,根据该子信道中每个 Tilestrip对应的归一 化得矩阵,确定了该子信道内的所有 Tilestrip对应的归一化后的矩阵求平均 值。 而每根天线中包括多个子信道, 根据确定的每个子信道内的所有 Tilestri 对应的归一化后的矩阵求平均值,确定每根天线归一化后的矩阵的 平均值。 其中, 确定每根天线归一化后的矩阵的平均值的过程, 与上述确 定每个子信道归一化后的矩阵的平均值的过程类似, 即针对每个子信道对 应的 scale ( channelldx) , 查找 scale ( channelldx)的最小值, 针对该 scale ( channelldx)的最小值,确定每个其他子信道相对该 scale ( channelldx)的最 小值的统一化后的矩阵, 针对每个子信道对应的统一化后的矩阵, 确定该 天线归一化后的矩阵的平均值 , 并将该 scale ( channelldx)的最小值作为 该天线的 scale(AntIdx)。  In the above process, for each subchannel, according to the normalized matrix corresponding to each Tilestrip in the subchannel, the normalized matrix averaging values corresponding to all Tilestrips in the subchannel are determined. Each antenna includes a plurality of subchannels, and an average of the normalized matrices of each of the antennas is determined according to the determined normalized matrices of all the Tilestris in each subchannel. The process of determining the average value of the normalized matrix of each antenna is similar to the process of determining the average value of the normalized matrix of each subchannel, that is, for each subchannel corresponding to the scale (channelldx), The minimum value of scale (channelldx), for the minimum value of the scale (channelldx), the unified matrix of each other subchannel relative to the minimum value of the scale (channelldx), unified for each subchannel A matrix, determining an average of the normalized matrix of the antenna, and taking the minimum value of the scale (channelldx) as the scale (AntIdx) of the antenna.
当确定了每根天线归一化后的矩阵的平均值后, 根据每根天线的归一 化后的矩阵的平均值, 确定该基站归一化后的矩阵的平均值 。 其中在确 定该基站归一化后的矩阵的平均值时, 根据每根天线归一化后的矩阵的平 均值, 以及针对每根天线保存的该天线的 scale(Antldx), 确定该基站归一化 后的矩阵的平均值, 具体过程与上述确定每个子信道归一化后的矩阵的平 均值, 及确定每根天线归一化后的矩阵的平均值的过程类似, 这里就不一 一赞述。 After determining the average of the normalized matrix of each antenna, the average of the normalized matrix of the base station is determined according to the average of the normalized matrix of each antenna. When determining the average value of the normalized matrix of the base station, determining the base station normalization according to the average value of the normalized matrix of each antenna and the scale (Antldx) of the antenna saved for each antenna The average of the matrix after the transformation, the specific process and the above-mentioned determination of the matrix of each subchannel normalized The mean, and the process of determining the average of the normalized matrix for each antenna are similar, and are not mentioned here.
具体在本发明实施例中, 当针对每根天线, 确定基站归一化后的矩阵 的平均值时, 由于定点数进行除数为非 2的 N次幂的除法比较困难, 因此 转换为乘以其倒数, 并将其倒数作为表格保存。 由于基站最多支持 8天线, 倒数表格定义为: Q[8] = { 0x7fff, 0x3fff, 0x2aaa, Oxlfff, 0x1999 , 0x1555 , 0x1249, OxOfffj o  Specifically, in the embodiment of the present invention, when the average value of the normalized matrix of the base station is determined for each antenna, it is difficult to divide the N-th power of the divisor by a fixed-point number, so the conversion is multiplied by Count down and save the countdown as a table. Since the base station supports up to 8 antennas, the reciprocal table is defined as: Q[8] = { 0x7fff, 0x3fff, 0x2aaa, Oxlfff, 0x1999, 0x1555, 0x1249, OxOfffj o
当确定了基站归一化后的矩阵的平均值 后, 根据基站归一化后的矩 阵的平均值中的元素, 进行快速傅里叶变换, 并根据快速傅里叶变换后的 结果进行频偏校正。  After determining the average value of the normalized matrix of the base station, performing fast Fourier transform according to the elements in the average value of the normalized matrix of the base station, and performing frequency offset according to the result of the fast Fourier transform. Correction.
在根据基站归一化后的矩阵的平均值中的元素, 进行快速傅里叶变换 时, 首先构造列矢量 P, 其中该列矢量为 512* 1的列矢量, 对列矢量中的不 同元素赋值, 其中赋值的结果为:  When performing fast Fourier transform on the elements in the average value of the matrix normalized by the base station, first construct a column vector P, where the column vector is a column vector of 512*1, and assign values to different elements in the column vector. , where the result of the assignment is:
P )= 0  P ) = 0
N-k _ ' =° ( 0 < k < N )  N-k _ ' =° ( 0 < k < N )
P k 0 (k > N) 其中 表示 矩阵中的第 x行, 第 y列, 根据上述赋值结果, 将该列 矢量 P中未赋值的元素赋值为 0。对赋值后的列矢量 P进行快速傅里叶变换 ( FFT ), 并对 FFT运算后的列矢量 P进行取实部运算, 即 Thelta = real ( fft ( P ) ), 其中, Thelta为 512* 1的列矢量, 之后将 Thelta的 128-383号元素 置 0。 P k 0 (k > N) where the xth row and the yth column in the matrix are represented, and the unassigned elements of the column vector P are assigned a value of 0 according to the above-mentioned assignment result. Perform fast Fourier transform (FFT) on the assigned column vector P, and perform real part operation on the column vector P after FFT operation, that is, Thelta = real (fft ( P ) ), where Thelta is 512* 1 The column vector, then set the element of Thelta's 128-383 to 0.
在确定了列矢量 Thelta后, 确定该列矢量 Thelta中的最大值对应的位 置, 即确定 [max,Idx]=max ( Thelta )在确定列矢量 Thelta中的最大值对应的 位置 Idx时, 可以依据下述算法实现: if ldx >= 384 After the column vector Thelta is determined, the position corresponding to the maximum value in the column vector Thelta is determined, that is, when [max, Idx]=max (Thelta) is determined to determine the position Idx corresponding to the maximum value in the column vector Thelta, The following algorithm is implemented: If ldx >= 384
Idx = Idx - 512;  Idx = Idx - 512;
Else  Else
Idx = Idx  Idx = Idx
end  End
当确定了列矢量 Thelta中的最大值对应的位置后, 确定归一化频偏, 其中该归一化频偏 D 。 其中, 该归一化频偏 D 的计算过程包括: ΑΘ = 2 ^■ (if 512)■ (Idx - 1)/3 当确定了归一化频偏后, 即可对当前用户调度的所有载波, 进行相位  After determining the position corresponding to the maximum value in the column vector Thelta, the normalized frequency offset is determined, wherein the normalized frequency offset D is. The calculation process of the normalized frequency offset D includes: ΑΘ = 2 ^■ (if 512) ■ (Idx - 1)/3 When the normalized frequency offset is determined, all carriers scheduled for the current user can be , phase
= p . υ  = p . υ
旋转以纠正频偏, 即 ' · _ '· , 其中 i表示第 i个 OFDM符号, Rotate to correct the frequency offset, ie ' · _ '· , where i represents the i-th OFDM symbol,
D 为归一化频偏, 为频偏校正前载波的值, Si为校正后的值。 D is the normalized frequency offset, which is the value of the carrier before the frequency offset correction, and Si is the corrected value.
并且在定点化实现中, 进行幂运算是比较困难的用查表法即可避免这 个复杂的运算。 表格制作过程为: 由于 Idx的取值为 -128~127。 而上行最多 支持 21个符号,其中符号 0不需要做频偏校正,那么表格的大小即为 256x20 = 5120B。  And in the implementation of the fixed point, it is more difficult to perform the power operation. This complicated operation can be avoided by using the look-up table method. The table creation process is as follows: Since the value of Idx is -128~127. The uplink supports up to 21 symbols, where the symbol 0 does not need to be frequency offset corrected, then the size of the table is 256x20 = 5120B.
对于符号 i: 计算  For symbol i: calculation
I = cos( (2*3.14*Idx/3/512) * i) * 0x7fff;  I = cos( (2*3.14*Idx/3/512) * i) * 0x7fff;
Q = -sin( (2*3.14*Idx/3/512) * i) * 0x7fff;  Q = -sin( (2*3.14*Idx/3/512) * i) * 0x7fff;
其中 Idx为 -128~127。  Where Idx is -128~127.
并将 I和 Q分别作为表格的高 16bit和低 16bit存储。  I and Q are stored as high 16bit and low 16bit of the table, respectively.
在进行频偏校正时, 只需通过 Idx找到对应频偏校正值, 然后按照符号 每个子载波一一与其相乘即可。  When performing the frequency offset correction, it is only necessary to find the corresponding frequency offset correction value by Idx, and then multiply each subcarrier by the symbol one by one.
图 3 为本发明实施例提供的一种频偏校正的装置的结构示意图, 所述 装置包括:  FIG. 3 is a schematic structural diagram of an apparatus for frequency offset correction according to an embodiment of the present invention, where the apparatus includes:
第一归一化处理模块 31 , 用于针对基站的一根天线上接收到的数据, 根据每个子信道内每个 Tilestrip的所有导频子载波的响应,获取不同导频子 载波的响应的平均值, 根据获取的不同导频子载波的响应的平均值构造列 向量, 并根据构造的列向量构造矩阵, 对构造的矩阵进行 scale处理, 根据 scale处理后的矩阵, 以及该矩阵的迹对该矩阵进行归一化处理; a first normalization processing module 31, configured to receive data on an antenna of the base station, Obtaining an average value of responses of different pilot subcarriers according to responses of all pilot subcarriers of each Tilestrip in each subchannel, constructing a column vector according to the average of the responses of the obtained different pilot subcarriers, and constructing according to the The column vector constructs a matrix, performs scale processing on the constructed matrix, and normalizes the matrix according to the scale processed matrix and the trace of the matrix;
第二归一化处理模块 32, 用于根据每个 Tilestrip归一化处理后的矩阵, 确定每根天线归一化后的矩阵的平均值, 并根据确定的每根天线归一化后 的矩阵的平均值, 确定该基站归一化后的矩阵的平均值;  The second normalization processing module 32 is configured to determine, according to each Tilestrip normalized matrix, an average value of the normalized matrix of each antenna, and according to the determined matrix normalized by each antenna The average value of the average of the matrices of the base station;
频偏校正模块 33 , 用于根据基站归一化后的矩阵的平均值中的元素, 进行快速傅里叶变换, 并根据快速傅里叶变换后的结果进行频偏校正。  The frequency offset correction module 33 is configured to perform fast Fourier transform according to the elements in the average value of the matrix normalized by the base station, and perform frequency offset correction according to the result of the fast Fourier transform.
所述第一归一化处理模块 31 , 具体用于根据导频子载波在时域上的 OFDM符号的编号, 确定不同导频子载波平均值对应的序列号; 当获取到 不同导频子载波的响应平均值后, 将获取的响应平均值分为两组, 其中序 列号为奇数的导频子载波响应的平均值为一组, 序列号为偶数的导频子载 波响应的平均值为一组, 根据每一组构造列向量。  The first normalization processing module 31 is specifically configured to determine, according to the number of OFDM symbols of the pilot subcarriers in the time domain, a sequence number corresponding to an average value of different pilot subcarriers; when different pilot subcarriers are acquired After the average of the responses, the average of the responses obtained is divided into two groups, wherein the average of the pilot subcarrier responses with odd sequence numbers is one group, and the average value of the pilot subcarrier responses with even serial numbers is one. Group, construct a column vector based on each group.
所述第一归一化处理模块 31 , 具体用于根据构造的列向量 ζι,ζ2 , 构造 两个矩阵, 和 其中, The first normalization processing module 31 is specifically configured to construct two matrices according to the constructed column vector ζ ι, ζ 2, and
Figure imgf000016_0001
其中 2 , ,''和 '为不同导频子载波的响应; 确定构造的两 个矩阵 Rl和 R 2的和, 将该和作为列向量构造的矩阵。
Figure imgf000016_0001
Where 2, , '' and ' are the responses of the different pilot subcarriers; determine the sum of the two matrices R l and R 2 constructed, and construct the sum as a matrix of column vectors.
所述第一归一化处理模块 31 , 具体用于确定该矩阵中所有元素的实部 和虚部中绝对值最大的元素 M, 其中 M为大于零的数值; 确定元素 M相 对于 32bit有符号数最多左移的位数 S1 ; 根据确定的位数 S1 , 将该矩阵中 所有元素的实部和虚步都相应的左移 S1位; 截取左移后的该矩阵中所有元 素的实部和虚部的高 16bit作为 scale处理后的矩阵, 其中 M为大于零的数 值。 The first normalization processing module 31 is specifically configured to determine an element M having the largest absolute value among the real and imaginary parts of all elements in the matrix, where M is a value greater than zero; determining that the element M is symbolic with respect to 32 bits The number of bits shifted up to the left by S1; according to the determined number of bits S1, the matrix is The real and virtual steps of all elements are shifted to the left by the S1 bit; the high 16 bits of the real and imaginary parts of all elements in the matrix after truncation are taken as the matrix after scale processing, where M is a value greater than zero.
所述第一归一化处理模块 31 ,具体用于确定 scale处理后的矩阵的对角 线元素的实部的和, 将该和作为矩阵的迹; 确定该矩阵以及该矩阵的迹的 商, 将该商作为对矩阵归一化后的结果。  The first normalization processing module 31 is specifically configured to determine a sum of real parts of diagonal elements of the matrix after the scale processing, and use the sum as a trace of the matrix; determine a quotient of the matrix and the trace of the matrix, The quotient is the result of normalization to the matrix.
具体的在确定该基站归一化后的矩阵的平均值时, 由于每个子信道包 括 6个 Tilestrip, 针对每个 Tilestrip都依据上述过程进行处理, 得到与每个  Specifically, when determining the average value of the normalized matrix of the base station, since each subchannel includes six Tilestrips, each Tilestrip is processed according to the above process, and each is obtained.
Tilestri 对应的归一化后的矩阵 R , 以及对应该矩阵的 scale(Tileldx)的值, 针对每个子信道对该子信道内的所有 Tilestrip对应的归一化后的矩阵求平 均值。 The normalized matrix R corresponding to Tilestri and the value of scale(Tileldx) corresponding to the matrix are averaged for each subchannel corresponding to the normalized matrix of all Tilestrips in the subchannel.
其中,针对每个子信道对该子信道内的所有 Tilestrip对应的归一化后的 矩阵求平均值, 包括:  The averaged matrix corresponding to all the tiles in the subchannel is averaged for each subchannel, including:
根据该子信道中每个 Tilestrip 对应的进行归一化过程中保存的 scale(Tileldx)的值, 查找该 6个 Tilestrip对应的 scale(Tileldx)的最小值, 将 该最小值 i己为 scaleMin; 该 scale(Tileldx)的最小值对应的 Tilestrip进行归一化后的矩阵 R不进行 处理,但对其他 Tilestrip对应的归一化后的矩阵 中的所有元素的实部和虚 部, 右移相应的位数, 其中右移的位数为该其他 Tilestrip 的 scale(Tileldx) 与该 scaleMin的差值, 将右移后的矩阵作为该其他 Tilestri 对应的统一化 后的矩阵;  Finding a minimum value of a scale (Tileldx) corresponding to the six Tilestrips according to a value of a scale (Tileldx) saved in the normalization process corresponding to each Tilestrip in the subchannel, and the minimum value i is a scaleMin; The normalized matrix R of the Tilestrip corresponding to the minimum value of scale(Tileldx) is not processed, but the real and imaginary parts of all elements in the normalized matrix corresponding to other Tilestrip are shifted to the right. a number, where the number of bits shifted to the right is the difference between the scale (Tileldx) of the other Tilestrip and the scaleMin, and the matrix after the right shift is used as the unified matrix corresponding to the other Tilestri;
根据每个 Tilestrip对应的统一化后的矩阵,确定该子信道统一化后的矩 阵的平均值 R , 并将该 scaleMin作为该子信道的 scale ( channelldx) , 即 0 i , Λ '为每个 Tilestrip对应的统一化后的矩阵, 该 scaleMin对应 的 Tilestrip的归一化后的矩阵即为该 Tilestrip对应的统一化后的矩阵。 Determining, according to the unified matrix corresponding to each Tilestrip, an average value R of the unified matrix of the subchannel, and using the scaleMin as the scale (channelldx) of the subchannel, that is, 0 i , Λ 'For the unified matrix corresponding to each Tilestrip, the normalized matrix of the Tilestrip corresponding to the scaleMin is the unified matrix corresponding to the Tilestrip.
上述过程中针对每个子信道,根据该子信道中每个 Tilestrip对应的归一 化得矩阵,确定了该子信道内的所有 Tilestrip对应的归一化后的矩阵求平均 值。 而每根天线中包括多个子信道, 根据确定的每个子信道内的所有 In the above process, for each subchannel, according to the normalized matrix corresponding to each Tilestrip in the subchannel, the normalized matrix averaging values corresponding to all Tilestrips in the subchannel are determined. And each antenna includes multiple subchannels, according to all determined within each subchannel
Tilestri 对应的归一化后的矩阵求平均值,确定每根天线归一化后的矩阵的 平均值。 其中, 确定每根天线归一化后的矩阵的平均值的过程, 与上述确 定每个子信道归一化后的矩阵的平均值的过程类似, 即针对每个子信道对 应的 scale ( channelldx) , 查找 scale ( channelldx)的最小值, 针对该 scale ( channelldx)的最小值,确定每个其他子信道相对该 scale ( channelldx)的最 小值的统一化后的矩阵, 针对每个子信道对应的统一化后的矩阵, 确定该 天线归一化后的矩阵的平均值 , 并将该 scale ( channelldx)的最小值作为 该天线的 scale(AntIdx)。 The normalized matrix corresponding to Tilestri is averaged to determine the average of the normalized matrix for each antenna. The process of determining the average value of the normalized matrix of each antenna is similar to the process of determining the average value of the normalized matrix of each subchannel, that is, for each subchannel corresponding to the scale (channelldx), The minimum value of scale (channelldx), for the minimum value of the scale (channelldx), the unified matrix of each other subchannel relative to the minimum value of the scale (channelldx), unified for each subchannel A matrix, determining an average of the normalized matrix of the antenna, and taking the minimum value of the scale (channelldx) as the scale (AntIdx) of the antenna.
当确定了每根天线归一化后的矩阵的平均值后, 根据每根天线的归一 化后的矩阵的平均值, 确定该基站归一化后的矩阵的平均值 。 其中在确 定该基站归一化后的矩阵的平均值时, 根据每根天线归一化后的矩阵的平 均值, 以及针对每根天线保存的该天线的 scale(Antldx), 确定该基站归一化 后的矩阵的平均值, 具体过程与上述确定每个子信道归一化后的矩阵的平 均值, 及确定每根天线归一化后的矩阵的平均值的过程类似, 这里就不一 一赘述。  After determining the average of the normalized matrix of each antenna, the average of the normalized matrix of the base station is determined based on the average of the normalized matrix of each antenna. When determining the average value of the normalized matrix of the base station, determining the base station normalization according to the average value of the normalized matrix of each antenna and the scale (Antldx) of the antenna saved for each antenna The average value of the matrix after the normalization is similar to the above-mentioned method of determining the average value of the matrix normalized by each subchannel and determining the average value of the normalized matrix of each antenna, which will not be described here. .
具体在本发明实施例中, 当针对每根天线, 确定基站归一化后的矩阵 的平均值时, 由于定点数进行除数为非 2的 N次幂的除法比较困难, 因此 转换为乘以其倒数, 并将其倒数作为表格保存。 由于基站最多支持 8天线, 倒数表格定义为: Q[8] = {0x7fff, 0x3fff, 0x2aaa, Oxlfff, 0x1999, 0x1555 , 0x1249 , OxOfffj o Specifically, in the embodiment of the present invention, when the average value of the normalized matrix of the base station is determined for each antenna, it is difficult to divide the N-th power of the divisor by a fixed-point number, so the conversion is multiplied by Count down and save the countdown as a table. Since the base station supports up to 8 antennas, the reciprocal table is defined as: Q[8] = {0x7fff, 0x3fff, 0x2aaa, Oxlfff, 0x1999, 0x1555, 0x1249 , OxOfffj o
所述装置还包括:  The device also includes:
频偏估计模块 34 , 用于根据归一化后的矩阵的平均值中的元素构造的 列矢量, 及对该列矢量快速傅里叶变换后列矢量实部构造的列矢量, 确定 该实部构造的列矢量中最大值的位置; 根据确定的该最大值的位置, 进行 频偏估计, 确定归一^频偏。 所述频偏校正模块 33 , 具体用于根据 _ 2' 进行频偏校 正, 其中 i表示第 i个 OFDM符号, D 为归一化频偏。 a frequency offset estimation module 34, configured to determine a real part of the column vector constructed according to an element in the average value of the normalized matrix, and a column vector constructed by the real part of the column vector fast Fourier transform The position of the maximum value in the constructed column vector; based on the determined position of the maximum value, frequency offset estimation is performed to determine the normalized frequency offset. The frequency offset correction module 33 is specifically configured to perform frequency offset correction according to _ 2 ', where i represents an ith OFDM symbol and D is a normalized frequency offset.
本发明实施例提供了一种频偏校正的方法及装置, 该方法通过每个子 信道内每个 Tilestrip的所有导频子载波的响应,构造相应的矩阵,并对构造 的矩阵进行归一化处理, 确定每根天线归一化后的矩阵的平均值, 从而确 定该基站每根接收天线归一化后的矩阵的平均值, 根据确定基站归一化后 的矩阵的平均值, 进行快速傅里叶变换, 从而进行频偏估计, 根据频偏估 计的结果进行频偏校正。 从而实现了对 OFDM系统中频偏的估计及校正。  Embodiments of the present invention provide a method and apparatus for frequency offset correction, which constructs a corresponding matrix by using responses of all pilot subcarriers of each Tilestrip in each subchannel, and normalizes the constructed matrix. Determining an average value of the normalized matrix of each antenna, thereby determining an average value of the normalized matrix of each receiving antenna of the base station, and performing fast Fourier according to determining the average value of the normalized matrix of the base station The leaf transforms, thereby performing frequency offset estimation, and performs frequency offset correction based on the result of the frequency offset estimation. Thereby, the estimation and correction of the frequency offset in the OFDM system is realized.
上述说明示出并描述了本发明的优选实施例, 但如前所述, 应当理解 本发明并非局限于本文所披露的形式, 不应看作是对其他实施例的排除, 而可用于各种其他组合、 修改和环境, 并能够在本文所述发明构想范围内, 通过上述教导或相关领域的技术或知识进行改动。 而本领域人员所进行的 改动和变化不脱离本发明的精神和范围, 则都应在本发明所附权利要求的 保护范围内。  The above description shows and describes a preferred embodiment of the present invention, but as described above, it should be understood that the present invention is not limited to the form disclosed herein, and should not be construed as being Other combinations, modifications, and environments are possible and can be modified by the teachings of the above teachings or related art within the scope of the inventive concept described herein. All changes and modifications made by those skilled in the art are intended to be within the scope of the appended claims.

Claims

1、 一种频偏校正的方法, 包括:  1. A method for frequency offset correction, comprising:
针对基站的一根天线上接收到的数据,根据每个子信道内每个 Tilestrip 的所有导频子载波的响应, 获取不同导频子载波的响应的平均值, 据此构 造列向量, 并根据构造的列向量构造矩阵, 对构造的矩阵进行 scale处理, 并对 scale处理后的矩阵进行归一化处理;  For the data received on one antenna of the base station, the average of the responses of the different pilot subcarriers is obtained according to the response of all the pilot subcarriers of each Tilestrip in each subchannel, and the column vector is constructed according to this, and according to the structure The column vector constructs the matrix, scales the constructed matrix, and normalizes the scaled matrix;
根据每个 Tilestri 归一化处理后的矩阵,确定每根天线归一化后的矩阵 的平均值, 据此确定所述基站归一化后的矩阵的平均值;  Determining, based on each Tilestri normalized matrix, an average of the normalized matrix of each antenna, and determining an average of the normalized matrix of the base station;
根据基站归一化后的矩阵的平均值中的元素, 进行快速傅里叶变换, 并根据快速傅里叶变换后的结果进行频偏校正。  The fast Fourier transform is performed according to the elements in the average value of the matrix normalized by the base station, and the frequency offset correction is performed according to the result of the fast Fourier transform.
2、 如权利要求 1所述的方法, 其中, 根据获取的不同导频子载波的响 应的平均值构造列向量的过程, 包括:  2. The method of claim 1, wherein the process of constructing a column vector based on the average of the responses of the different pilot subcarriers obtained comprises:
根据导频子载波在时域上的正交频分复用 OFDM符号的编号, 确定不 同导频子载波平均值对应的序列号;  Determining a sequence number corresponding to the average value of the different pilot subcarriers according to the number of orthogonal frequency division multiplexing OFDM symbols of the pilot subcarrier in the time domain;
当获取到不同导频子载波的响应平均值后, 将获取的响应平均值分为 两组, 其中序列号为奇数的导频子载波响应的平均值为一组, 序列号为偶 数的导频子载波响应的平均值为一组, 根据每一组构造列向量。  After obtaining the average of the responses of the different pilot subcarriers, the average of the obtained responses is divided into two groups, wherein the average of the pilot subcarrier responses with the odd sequence number is a group, and the pilot number with the serial number is even. The average of the subcarrier responses is a group, and column vectors are constructed according to each group.
3、 如权利要求 1所述的方法, 其中, 根据构造的列向量构造矩阵的过 程, 包括:  3. The method of claim 1, wherein the process of constructing the matrix according to the constructed column vector comprises:
根据构造的列向量 ζι, 构造两个矩阵 和 ^ , 其中, Construct two matrices and ^ according to the constructed column vector ζ ι , where
Figure imgf000020_0001
其中
Figure imgf000021_0001
, ,''和 ,''为不同导频子载波的响应; 将所述两个矩阵 ^和 R2的和作为列向量构造的矩阵。
Figure imgf000020_0001
among them
Figure imgf000021_0001
, , '' and, '' are responses to different pilot subcarriers; a matrix constructed by combining the sum of the two matrices ^ and R 2 as a column vector.
4、 如权利要求 3所述的方法, 其中, 构造所述两个矩阵 和 之前, 所述方法还包括: 4. The method of claim 3, wherein before the constructing the two matrices, the method further comprises:
将所述两个矩阵 和 ^中的每个元素右移 1位。  Each of the two matrices and ^ is shifted right by one bit.
5、 如权利要求 1所述的方法, 其中, 对构造的矩阵进行 scale处理的 过程包括:  5. The method of claim 1, wherein the process of scale processing the constructed matrix comprises:
确定构造的所述矩阵中所有元素的实部和虚部中绝对值最大的元素 Determining the largest absolute element of the real and imaginary parts of all elements in the constructed matrix
M; M;
确定元素 M相对于 32bit有符号数最多左移的位数 S1;  Determining the number of bits of the element M relative to the 32-bit signed number of left shifts S1;
根据确定的位数 S1 , 将该矩阵中所有元素的实部和虚步都相应的左移 S1位;  According to the determined number of bits S1, the real part and the virtual step of all elements in the matrix are shifted to the left by S1 bit;
截取左移后的所述矩阵中所有元素的实部和虚部的高 16bit, 以此作为 scale处理后的矩阵。  The height 16 bits of the real part and the imaginary part of all elements in the matrix after the left shift are intercepted, and this is used as a scale processed matrix.
6、 如权利要求 1所述的方法, 其中, 所述对 scale处理后的矩阵进行 归一化处理的过程, 包括:  The method of claim 1, wherein the normalizing the matrix after the scale processing comprises:
确定 scale处理后的矩阵的对角线元素的实部的和, 将该和作为矩阵的 迹; 确定该矩阵以及该矩阵的迹的商, 将该商作为对矩阵归一化后的结果。  The sum of the real parts of the diagonal elements of the matrix after scale processing is determined, and the sum is taken as a trace of the matrix; the quotient of the matrix and the trace of the matrix is determined, and the quotient is used as a result of normalization to the matrix.
7、 如权利要求 1所述的方法, 其中, 根据快速傅里叶变换后的结果进 行频偏校正的过程, 包括:  7. The method according to claim 1, wherein the process of performing frequency offset correction according to the result of the fast Fourier transform comprises:
= p —j A i—l)  = p —j A i—l)
根据 _ 3 进行频偏校正,其中 i表示第 i个 OFDM符号,Frequency offset correction according to _ 3 , where i represents the ith OFDM symbol,
D 为归一化频偏, 为频偏校正前载波的值, Si为校正后的值。 D is the normalized frequency offset, which is the value of the carrier before the frequency offset correction, and Si is the corrected value.
8、 如权利要求 7所述的方法, 其中, 进行所述频偏校正之前, 所述方 法还包括: 根据归一化后的矩阵的平均值中的元素构造的列矢量, 及对该列矢量 快速傅里叶变换后列矢量实部构造的列矢量, 确定该实部构造的列矢量中 最大值的位置, 据此进行频偏估计以确定归一化频偏。 The method of claim 7, wherein before the performing the frequency offset correction, the method further comprises: Determining the maximum value of the column vector of the real part structure according to the column vector constructed by the element in the average value of the normalized matrix and the column vector constructed by the real part of the column vector fast Fourier transform Position, based on which frequency offset estimation is performed to determine the normalized frequency offset.
9、 一种频偏校正的装置, 包括:  9. A frequency offset correction device, comprising:
第一归一化处理模块, 用于针对基站的一根天线上接收到的数据, 根 据每个子信道内每个 Tilestrip的所有导频子载波的响应,获取不同导频子载 波的响应的平均值, 据此构造列向量, 并根据构造的列向量构造矩阵, 对 构造的矩阵进行 scale处理, 并对 scale处理后的矩阵进行归一化处理; 第二归一化处理模块,用于根据每个 Tilestrip归一化处理后的矩阵,确 定每根天线归一化后的矩阵的平均值, 据此确定所述基站归一化后的矩阵 的平均值;  a first normalization processing module, configured to obtain, according to a response of all pilot subcarriers of each Tilestrip in each subchannel, an average of responses of different pilot subcarriers for data received on one antenna of the base station According to this, the column vector is constructed, and the matrix is constructed according to the constructed column vector, the constructed matrix is scaled, and the scaled matrix is normalized; the second normalization processing module is used according to each a normalized matrix of Tilestrip, determining an average value of the normalized matrix of each antenna, and determining an average value of the normalized matrix of the base station;
频偏校正模块, 用于根据所述基站归一化后的矩阵的平均值中的元素, 进行快速傅里叶变换, 并根据快速傅里叶变换后的结果进行频偏校正。  And a frequency offset correction module, configured to perform fast Fourier transform according to an element in an average value of the matrix normalized by the base station, and perform frequency offset correction according to the result of the fast Fourier transform.
10、 如权利要求 9所述的装置, 其中, 所述第一归一化处理模块根据 获取的不同导频子载波的响应的平均值构造列向量时, 用于:  10. The apparatus according to claim 9, wherein the first normalization processing module is configured to: when constructing a column vector according to an average of the responses of the different pilot subcarriers obtained:
根据导频子载波在时域上的 OFDM符号的编号, 确定不同导频子载波 平均值对应的序列号;  Determining a sequence number corresponding to an average value of different pilot subcarriers according to a number of OFDM symbols of the pilot subcarrier in the time domain;
当获取到不同导频子载波的响应平均值后, 将获取的响应平均值分为 两组, 其中序列号为奇数的导频子载波响应的平均值为一组, 序列号为偶 数的导频子载波响应的平均值为一组, 根据每一组构造列向量。  After obtaining the average of the responses of the different pilot subcarriers, the average of the obtained responses is divided into two groups, wherein the average of the pilot subcarrier responses with the odd sequence number is a group, and the pilot number with the serial number is even. The average of the subcarrier responses is a group, and column vectors are constructed according to each group.
11、 如权利要求 9所述的装置, 其中, 所述第一归一化处理模块根据 构造的列向量构造矩阵时, 用于:  11. The apparatus according to claim 9, wherein the first normalization processing module is configured to: when constructing a matrix according to the constructed column vector:
根据构造的列向量 ζι, 构造两个矩阵 和 ^ , 其中,
Figure imgf000023_0001
Construct two matrices and ^ according to the constructed column vector ζ ι , where
Figure imgf000023_0001
7 = ( u + y4 / 7 = ( u + y 4 /
其中 '— 2 , ,''和 ,''为不同导频子载波的响应; Where '— 2 , , '' and , '' are responses of different pilot subcarriers;
将所述两个矩阵 ^和 R2的和作为列向量构造的矩阵。 The sum of the two matrices ^ and R 2 is constructed as a matrix of column vectors.
12、 如权利要求 9所述的装置, 其中, 所述第一归一化处理模块对构 造的矩阵进行 scale处理时, 用于:  12. The apparatus according to claim 9, wherein the first normalization processing module performs scale processing on the constructed matrix, and is used to:
确定构造的所述矩阵中所有元素的实部和虚部中绝对值最大的元素 Determining the largest absolute element of the real and imaginary parts of all elements in the constructed matrix
M; M;
确定元素 M相对于 32bit有符号数最多左移的位数 S1;  Determining the number of bits of the element M relative to the 32-bit signed number of left shifts S1;
根据确定的位数 S1 , 将该矩阵中所有元素的实部和虚步都相应的左移 S1位;  According to the determined number of bits S1, the real part and the virtual step of all elements in the matrix are shifted to the left by S1 bit;
截取左移后的所述矩阵中所有元素的实部和虚部的高 16bit, 以此作为 scale处理后的矩阵。  The height 16 bits of the real part and the imaginary part of all elements in the matrix after the left shift are intercepted, and this is used as a scale processed matrix.
13、 如权利要求 9所述的装置, 其中, 所述第一归一化处理模块在对 scale处理后的矩阵进行归一化处理时, 用于:  The apparatus according to claim 9, wherein the first normalization processing module is configured to: when normalizing the scale processed matrix:
确定 scale处理后的矩阵的对角线元素的实部的和, 将该和作为矩阵的 迹; 确定该矩阵以及该矩阵的迹的商, 将该商作为对矩阵归一化后的结果。  The sum of the real parts of the diagonal elements of the matrix after scale processing is determined, and the sum is taken as a trace of the matrix; the quotient of the matrix and the trace of the matrix is determined, and the quotient is used as a result of normalization to the matrix.
14、 如权利要求 9所述的装置, 其中, 所述频偏校正模块根据快速傅 里叶变换后的结果进行频偏校正时, 用于: 根据 !'― 3 进行频偏校正,其中 i表示第 i个 OFDM符号, D 为归一化频偏, 为频偏校正前载波的值, Si为校正后的值。 The device according to claim 9, wherein the frequency offset correction module performs frequency offset correction according to the result of the fast Fourier transform, and is configured to: perform frequency offset correction according to ! ' -3 , where i represents The i-th OFDM symbol, D is the normalized frequency offset, which is the value of the carrier before the frequency offset correction, and Si is the corrected value.
15、 如权利要求 14所述的装置, 其中, 所述装置还包括: 频偏估计模块, 用于根据归一化后的矩阵的平均值中的元素构造的列 矢量, 及对该列矢量快速傅里叶变换后列矢量实部构造的列矢量, 确定该 实部构造的列矢量中最大值的位置, 据此进行频偏估计以确定归一化频偏。 The device of claim 14, wherein the device further comprises: a frequency offset estimation module, configured to determine a real part structure according to a column vector constructed by an element in an average value of the normalized matrix and a column vector constructed by the real part of the column vector fast Fourier transform The position of the maximum value in the column vector, from which the frequency offset estimation is performed to determine the normalized frequency offset.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107294678A (en) * 2016-03-31 2017-10-24 上海贝尔股份有限公司 Method and communication equipment for channel estimation

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104639485B (en) * 2013-11-12 2019-01-04 联咏科技股份有限公司 Offset correction of carrier frequency method and offset correction of carrier frequency system
CN106059984A (en) * 2015-12-10 2016-10-26 国网山东省电力公司烟台供电公司 Digital phase-modulated signal carrier phase offset estimation method
US10627483B2 (en) * 2016-07-09 2020-04-21 Texas Instruments Incorporated Methods and apparatus for velocity detection in MIMO radar including velocity ambiguity resolution

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20040111227A1 (en) * 2002-11-26 2004-06-10 Yosef Stein Method and system for fixed point fast fourier transform with improved SNR
CN101022442A (en) * 2007-01-16 2007-08-22 西安交通大学 Joint time synchronizing and frequency-offset estimating method in OFDM system
CN101505290A (en) * 2009-03-17 2009-08-12 山东大学 Improved frequency bias estimation method for wideband MIMO

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20040111227A1 (en) * 2002-11-26 2004-06-10 Yosef Stein Method and system for fixed point fast fourier transform with improved SNR
CN101022442A (en) * 2007-01-16 2007-08-22 西安交通大学 Joint time synchronizing and frequency-offset estimating method in OFDM system
CN101505290A (en) * 2009-03-17 2009-08-12 山东大学 Improved frequency bias estimation method for wideband MIMO

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107294678A (en) * 2016-03-31 2017-10-24 上海贝尔股份有限公司 Method and communication equipment for channel estimation
CN107294678B (en) * 2016-03-31 2020-10-02 上海诺基亚贝尔股份有限公司 Method and communication device for channel estimation

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