CN103117781A - Method and device for antenna array calibration under complex electromagnetic environment - Google Patents

Method and device for antenna array calibration under complex electromagnetic environment Download PDF

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CN103117781A
CN103117781A CN2013100410054A CN201310041005A CN103117781A CN 103117781 A CN103117781 A CN 103117781A CN 2013100410054 A CN2013100410054 A CN 2013100410054A CN 201310041005 A CN201310041005 A CN 201310041005A CN 103117781 A CN103117781 A CN 103117781A
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CN103117781B (en
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马洪
饶蓉
李攀
余德
程莉
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Huazhong University of Science and Technology
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Abstract

本发明公开一种复杂电磁环境下的天线阵列校准方法及其装置。该装置通过在天线阵列中心点发射校准信号,根据自适应滤波器的原理,利用维纳解形式,提取阵列天线及接收前端的幅度不一致性和相位不一致性参数。在存在密集干扰的复杂电磁环境中,能够自动抑制小幅度的同频或邻频干扰对该频点阵列校准结果的影响;而当同频或邻频干扰的幅度比较大以致对通道参数有较大影响时,能对提取的通道参数进行处理,消除或极大减弱该干扰带来的影响,然后对接收的阵列信号进行宽带补偿或多窄带补偿,消除通道不一致性引起的误差。本发明适用于复杂电磁环境下,对工作在任意频率范围的圆形天线阵列及接收通道实时进行通道参数提取和自动补偿。

Figure 201310041005

The invention discloses an antenna array calibration method and a device thereof in complex electromagnetic environments. The device transmits a calibration signal at the center point of the antenna array, and uses the Wiener solution form to extract the amplitude inconsistency and phase inconsistency parameters of the array antenna and the receiving front end according to the principle of the adaptive filter. In a complex electromagnetic environment with dense interference, it can automatically suppress the influence of small-amplitude same-frequency or adjacent-frequency interference on the calibration results of the frequency point array; and when the amplitude of the same-frequency or adjacent-frequency interference is relatively large so that it has a greater impact on channel parameters When the impact is large, the extracted channel parameters can be processed to eliminate or greatly reduce the impact of the interference, and then perform wideband compensation or multi-narrowband compensation on the received array signal to eliminate errors caused by channel inconsistency. The invention is suitable for complex electromagnetic environment, and real-time channel parameter extraction and automatic compensation for circular antenna arrays and receiving channels working in any frequency range.

Figure 201310041005

Description

一种复杂电磁环境下的天线阵列校准方法及其装置Method and device for calibrating antenna array in complex electromagnetic environment

技术领域technical field

本发明涉及阵列信号处理领域,具体为一种复杂电磁环境下的天线阵列校准方法及其装置。复杂电磁环境是指外界存在密集干扰信号的环境。圆形天线阵是指天线在圆周上均匀排列。本发明在复杂电磁环境下,对圆形天线阵通道幅度和相位不一致性误差进行提取和补偿。The invention relates to the field of array signal processing, in particular to an antenna array calibration method and a device thereof in a complex electromagnetic environment. A complex electromagnetic environment refers to an environment where there are dense interference signals from the outside world. A circular antenna array means that the antennas are evenly arranged on the circumference. The invention extracts and compensates the inconsistency errors of the channel amplitude and phase of the circular antenna array under the complex electromagnetic environment.

背景技术Background technique

随着通信理论和技术的飞速发展,阵列天线在移动通信、广播电台、雷达系统和导航等无线电系统中扮演了越来越重要的角色,而阵列信号处理性能的优劣将直接影响着整个通信系统的性能。由于阵列天线各通道的不一致性大大降低了阵列接收机系统的性能,这些参数主要包括各接收天线和接收机前端设备的幅度和相位,因此,必须采用各种技术和手段来尽可能地解决阵列天线通道的不一致性,对各通道进行幅度不一致性和相位不一致性的校准。With the rapid development of communication theory and technology, array antennas play an increasingly important role in radio systems such as mobile communications, radio stations, radar systems, and navigation, and the performance of array signal processing will directly affect the entire communication system. system performance. Due to the inconsistency of each channel of the array antenna greatly reduces the performance of the array receiver system, these parameters mainly include the amplitude and phase of each receiving antenna and receiver front-end equipment, therefore, various techniques and means must be used to solve the array receiver system as much as possible. For the inconsistency of the antenna channels, calibrate the amplitude inconsistency and phase inconsistency of each channel.

目前,大部分阵列校准文献是对窄带信号内的校准,或者是在外界干扰密集度很小且干扰信号幅度小的环境下实行的校准,实现背景比较简单。“Sensor array calibration in the presence of mutual coupling and unknownsensor gains and phases”(C.M.S See,Electron Lett,1994,30(5):373-374)提出发送校准辅助信号,求接收的阵列信号的协方差矩阵,并联合空间谱估计,求得通道幅度不一致性和相位不一致性,但是该应用环境有限制,外界干扰要少且微弱,而在密集的外界干扰且干扰信号比较强的情况下,该方法就不适用。At present, most of the array calibration literature is for the calibration within the narrowband signal, or the calibration is carried out in the environment where the external interference density is small and the interference signal amplitude is small, and the implementation background is relatively simple. "Sensor array calibration in the presence of mutual coupling and unknown sensor gains and phases" (C.M.S See, Electron Lett, 1994, 30(5): 373-374) proposes to send calibration auxiliary signals and find the covariance matrix of the received array signals, Combined with spatial spectrum estimation to obtain the channel amplitude inconsistency and phase inconsistency, but the application environment is limited, the external interference is small and weak, and in the case of dense external interference and the interference signal is relatively strong, this method does not Be applicable.

一般情况下,发送的辅助校准信号都是容易识别的,且频域上的波形不会发生变化的单频信号。但同时,正是因为单频信号固有的属性,外界干扰脉冲将会影响该辅助信号的接收判别,则影响阵列校准的结果。本发明的特点是解决现有的阵列校准方法不考虑外界干扰且只能在窄带内校准的问题,能够准确的获取通道参数(包括通道幅度不一致性参数和通道相位不一致性参数),并在宽频带内补偿。Generally, the sent auxiliary calibration signals are single-frequency signals that are easily identifiable and whose waveforms in the frequency domain do not change. But at the same time, precisely because of the inherent properties of the single-frequency signal, external interference pulses will affect the reception and discrimination of the auxiliary signal, which will affect the result of array calibration. The feature of the present invention is to solve the problem that the existing array calibration method does not consider external interference and can only calibrate in a narrow band, and can accurately obtain channel parameters (including channel amplitude inconsistency parameters and channel phase inconsistency parameters), and can be used in broadband in-band compensation.

发明内容Contents of the invention

本发明提供一种复杂电磁环境下的天线阵列校准方法及其装置,本发明能在任意频带范围内以及存在密集干扰的复杂电磁环境下,自动抑制小幅度的同频或邻频干扰对该频点阵列校准结果的影响。The invention provides an antenna array calibration method and its device in a complex electromagnetic environment. The invention can automatically suppress small-amplitude same-frequency or adjacent-frequency interference to the Influence of Point Array Calibration Results.

本发明提供的一种复杂电磁环境下的天线阵列校准方法,包括以下步骤:A method for calibrating an antenna array in a complex electromagnetic environment provided by the present invention comprises the following steps:

第1步发送校准信号;Step 1 Send calibration signal;

第2步利用圆形天线阵接收发送的校准信号,将接收的各路信号进行模数转换,得到阵列数字信号;The second step is to use the circular antenna array to receive the sent calibration signal, and perform analog-to-digital conversion on the received signals to obtain the array digital signal;

第3步利用得到的阵列数字信号,提取出各通道的幅度和相位,再将某一通道的幅度和相位作为基准,求其它各通道的幅度和相位与基准的相对值,即通道幅度不一致性和通道相位不一致性;Step 3 Use the obtained array digital signal to extract the amplitude and phase of each channel, and then use the amplitude and phase of a certain channel as a reference to find the relative value of the amplitude and phase of other channels and the reference, that is, the channel amplitude inconsistency Inconsistency with channel phase;

第4步判断所有频点是否校准完毕,如果是,则进入第5步,否则,切换到下一个频点,重复第1步至第3步,直至完成所有频点的通道参数的提取;Step 4 judge whether all frequency points are calibrated, if yes, go to step 5, otherwise, switch to the next frequency point, repeat step 1 to step 3, until the extraction of channel parameters of all frequency points is completed;

第5步停止发送校准信号;Step 5 stop sending calibration signal;

第6步对通道参数进行处理,消除干扰的影响;The sixth step is to process the channel parameters to eliminate the influence of interference;

第7步圆形天线阵上各接收天线接收空中信号,并将接收的各路信号进行模数转换,得到阵列数字信号;Step 7: Each receiving antenna on the circular antenna array receives air signals, and performs analog-to-digital conversion on the received signals to obtain array digital signals;

第8步对得到的阵列数字信号进行补偿,得到补偿输出信号。Step 8 Compensate the obtained array digital signal to obtain a compensated output signal.

本发明提供的一种复杂电磁环境下的天线阵列校准装置,其特征在于,该装置包括信号发生器单元、圆形天线阵单元、阵列接收机前端单元、阵列通道参数提取单元、通道参数处理单元和通道补偿单元;An antenna array calibration device in a complex electromagnetic environment provided by the present invention is characterized in that the device includes a signal generator unit, a circular antenna array unit, an array receiver front-end unit, an array channel parameter extraction unit, and a channel parameter processing unit and channel compensation unit;

所述圆形天线阵单元用于接收信号和发射校准信号,圆阵的中心放置一根用于发送校准信号的校准信号发射天线,所述圆形天线阵的圆周上还均匀放置多根接收天线,每相邻接收天线间的距离都相等,该接收天线在提取阵列通道参数阶段,接收混有外界干扰的校准信号;在补偿阵列信号阶段,接收所需待校准的阵列信号,所述信号发生器单元用于产生的单频信号作为阵列校准过程中的校准信号;The circular antenna array unit is used to receive signals and transmit calibration signals, a calibration signal transmitting antenna for sending calibration signals is placed in the center of the circular array, and multiple receiving antennas are evenly placed on the circumference of the circular antenna array , the distance between each adjacent receiving antenna is equal, the receiving antenna receives the calibration signal mixed with external interference in the phase of extracting the array channel parameters; in the phase of compensating the array signal, receives the required array signal to be calibrated, and the signal occurs The single-frequency signal generated by the detector unit is used as a calibration signal in the array calibration process;

所述阵列接收机前端单元用于对接收的信号进行放大、滤波、模数转换处理,并提供给所述阵列通道参数提取单元;The front-end unit of the array receiver is used for amplifying, filtering, and analog-to-digital conversion processing on the received signal, and providing it to the array channel parameter extraction unit;

所述阵列通道参数提取单元用于接收的阵列信号与参考信号根据自适应滤波器的维纳解形式,进行运算,提取出通道参数,并提供给所述通道参数处理单元;The array channel parameter extraction unit is used to perform operations on the received array signal and reference signal according to the Wiener solution form of the adaptive filter, extract channel parameters, and provide them to the channel parameter processing unit;

所述通道参数处理单元用于对校准频点或邻频处若存在强干扰的情况下做处理,并将处理后的数据提供给通道补偿单元;若干扰较小,信干比比较大,则不做处理,得到最终的通道参数;The channel parameter processing unit is used to process the calibration frequency point or if there is strong interference at the adjacent frequency, and provide the processed data to the channel compensation unit; if the interference is small and the signal-to-interference ratio is relatively large, then Without processing, get the final channel parameters;

所述通道补偿单元包含宽带补偿单元和/或多窄带补偿单元,消除接收到的信号包含的阵列通道误差。The channel compensation unit includes a broadband compensation unit and/or a multi-narrowband compensation unit to eliminate array channel errors contained in received signals.

本发明能在任意频带范围内以及存在密集干扰的复杂电磁环境下,自动抑制小幅度的同频或邻频干扰对该频点阵列校准结果的影响,如果干扰的幅度比较大时,能够自动剔除该频点通道参数,并插值取代之,准确的获取最终的阵列通道参数,并进行多窄带补偿,或者宽频带范围内一次性补偿。与其它的阵列校准技术相比,本发明具有以下特点:The present invention can automatically suppress the influence of small-amplitude same-frequency or adjacent-frequency interference on the calibration results of the frequency point array within any frequency band and in complex electromagnetic environments with dense interference. If the amplitude of the interference is relatively large, it can be automatically eliminated. The channel parameters of the frequency point are replaced by interpolation to accurately obtain the final array channel parameters, and perform multi-narrowband compensation, or one-time compensation within a wide frequency range. Compared with other array calibration techniques, the present invention has the following characteristics:

(1)本发明根据自适应滤波器的原理,使用维纳解形式进行通道参数的提取,运算量小,计算简单,且容易实现。(1) According to the principle of the adaptive filter, the present invention uses the Wiener solution form to extract the channel parameters, which has a small amount of calculation, simple calculation, and easy implementation.

(2)能够在复杂电磁环境,即存在密集干扰的情况下,根据校准频点或相邻频点处的干扰幅度大小对通道参数进行处理。避免了常规的阵列校准方法容易受外界干扰的影响。(2) In a complex electromagnetic environment, that is, in the case of dense interference, the channel parameters can be processed according to the magnitude of the interference amplitude at the calibration frequency point or adjacent frequency points. It avoids that the conventional array calibration method is easily affected by external interference.

(3)阵列通道补偿可进行多窄带补偿或者宽带补偿,宽带补偿则是构造校准滤波器,实现所需频带内的一次性补偿;多窄带补偿则是将接收的信号信道化,分成多个窄带,然后在各窄带内进行补偿。避免了常规的阵列通道补偿要求待校准补偿的信号为窄带内的信号。(3) Array channel compensation can perform multi-narrowband compensation or broadband compensation. Broadband compensation is to construct a calibration filter to achieve one-time compensation in the required frequency band; multi-narrowband compensation is to channelize the received signal and divide it into multiple narrowbands. , and then compensate within each narrow band. It avoids the requirement of conventional array channel compensation that the signal to be calibrated and compensated is a signal within a narrow band.

(4)本发明装置可建立在任意频段范围的基础上,避免了一般的阵列校准只能在窄带范围内,且该频段内干扰要比较小的情况下才可行。(4) The device of the present invention can be established on the basis of any frequency band range, avoiding that the general array calibration can only be performed in a narrow band range, and the interference in this frequency band is relatively small.

附图说明Description of drawings

图1是本发明实例的方法流程示意图;Fig. 1 is the method flow diagram of the example of the present invention;

图2是通道参数提取方法框图;Fig. 2 is a block diagram of channel parameter extraction method;

图3是通道参数处理方法框图;Fig. 3 is a block diagram of a channel parameter processing method;

图4是宽带补偿方法框图;Fig. 4 is a block diagram of broadband compensation method;

图5是多窄带补偿方法框图;Fig. 5 is a multi-narrowband compensation method block diagram;

图6是本发明实例的装置结构示意图。Fig. 6 is a schematic diagram of the device structure of the example of the present invention.

具体实施方式Detailed ways

下面结合附图对本发明的具体实施方式作进一步说明。在此需要说明的是,对于这些实施方式的说明用于帮助理解本发明,但并不构成对本发明的限定。此外,下面所描述的本发明各个实施方式中所涉及到的技术特征只要彼此之间未构成冲突就可以相互组合。The specific embodiments of the present invention will be further described below in conjunction with the accompanying drawings. It should be noted here that the descriptions of these embodiments are used to help understand the present invention, but are not intended to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not constitute a conflict with each other.

如图1所示,本发明实例提供的阵列校准方法,包括以下步骤:As shown in Figure 1, the array calibration method provided by the example of the present invention includes the following steps:

(1)发送校准信号(1) Send calibration signal

信号发生器根据待发的校准信号的参数产生单频信号,经过数模转换后,由校准信号发射天线发送出去。校准信号的参数包括信号的类型、幅度和频率等。The signal generator generates a single-frequency signal according to the parameters of the calibration signal to be sent, and after digital-to-analog conversion, it is sent out by the calibration signal transmitting antenna. The parameters of the calibration signal include the type, amplitude and frequency of the signal.

(2)数据采集(2) Data collection

在发送校准信号后,利用圆形天线阵接收各路信号,模数转换后得到数字信号,用于后面的通道参提取计算。After sending the calibration signal, the circular antenna array is used to receive each signal, and the digital signal is obtained after analog-to-digital conversion, which is used for the subsequent channel parameter extraction calculation.

(3)进行通道参数提取算法(3) Perform channel parameter extraction algorithm

利用得到的各路数字信号进行运算,提取出各通道的幅度和相位,再将某一通道的幅度和相位作为基准,求其它各通道的幅度和相位与基准的相对值,即通道幅度不一致性和通道相位不一致性。如图3所示,具体步骤如下:Use the obtained digital signals to perform calculations, extract the amplitude and phase of each channel, and then use the amplitude and phase of a certain channel as a reference to find the relative value of the amplitude and phase of other channels and the reference, that is, the channel amplitude inconsistency and channel phase inconsistency. As shown in Figure 3, the specific steps are as follows:

(3.1)圆形天线阵各接收天线接收来自校准信号发射天线发送的校准信号,以及空中广播电台、航空通信等干扰信号,第i个接收天线接收的信号经过模数转换后记为si(n),n为采样点的序号。(3.1) Each receiving antenna of the circular antenna array receives the calibration signal sent by the calibration signal transmitting antenna, as well as interference signals such as air broadcasting stations and aviation communications. The signal received by the i-th receiving antenna is denoted as s i (n ), n is the serial number of the sampling point.

(3.2)产生与校准信号相同频点的单频序列cos2πfn,作为参考信号1,以及sin2πfn,作为参考信号2,f为发射的校准信号频率。(3.2) Generate a single-frequency sequence cos2πfn at the same frequency as the calibration signal as reference signal 1, and sin2πfn as reference signal 2, where f is the frequency of the transmitted calibration signal.

(3.3)根据参考信号与接收的信号,进行相关运算,提取通道参数,具体如下所述:(3.3) According to the reference signal and the received signal, perform correlation calculations to extract channel parameters, as follows:

假设位于圆形天线阵中心位置的校准信号发射天线所发射的校准信号为cos2πft,t为发射的时间。第i个接收天线接收该校准信号并经放大、滤波和模数转换后,其输出信号为

Figure BDA00002809571000051
Ai为该通道输出信号的幅度、
Figure BDA00002809571000052
为该通道输出信号的相移,它们间接反映了该接收通道引入的幅度和相位的不一致性,其值可基于最小均方准则,用自适应滤波器的维纳解形式,即按下述步骤计算:Assume that the calibration signal transmitted by the calibration signal transmitting antenna located in the center of the circular antenna array is cos2πft, and t is the transmission time. The i-th receiving antenna receives the calibration signal and after amplification, filtering and analog-to-digital conversion, its output signal is
Figure BDA00002809571000051
A i is the amplitude of the output signal of the channel,
Figure BDA00002809571000052
is the phase shift of the output signal of the channel, which indirectly reflects the inconsistency of the amplitude and phase introduced by the receiving channel, and its value can be based on the least mean square criterion, using the Wiener solution form of the adaptive filter, that is, according to the following steps calculate:

计算该通道的相关统计量woptCompute the correlation statistic w opt for this channel:

ww optopt == II ii QQ ii == 22 NN ΣΣ nno == 11 NN {{ sthe s ii (( nno )) coscos 22 πfnπfn }} -- ΣΣ nno == 11 NN {{ sthe s ii (( nno )) sinsin 22 πfnπfn

在上式中,f为所发射的校准信号的频率,N为用于计算相关统计量wopt的采样点总数,求出权值Ii和Qi,并利用下式计算出第i通道的幅度Ai、相位

Figure BDA00002809571000061
In the above formula, f is the frequency of the transmitted calibration signal, N is the total number of sampling points used to calculate the relevant statistic w opt , the weights I i and Q i are obtained, and the i-th channel is calculated using the following formula Amplitude A i , phase
Figure BDA00002809571000061

A i = I i 2 + Q i 2 ,

Figure BDA00002809571000063
A i = I i 2 + Q i 2 ,
Figure BDA00002809571000063

(3.4)根据Ai

Figure BDA00002809571000064
求取各通道的幅度和相位与基准的相对值,即通道的幅度不一致性和相位不一致性,作为通道参数。可将第一通道的幅度和相位参数A1
Figure BDA00002809571000065
作为基准,求取各通道的幅度和相位与该基准的偏差,得到通道幅度不一致性参数Ai′=Ai/A1和相位不一致性参数
Figure BDA00002809571000066
其中,i为通道序号,1≤i≤P,P为阵列接收通道总数。(3.4) According to A i and
Figure BDA00002809571000064
Calculate the relative value of the amplitude and phase of each channel to the reference, that is, the amplitude inconsistency and phase inconsistency of the channel, as the channel parameters. The amplitude and phase parameters A 1 ,
Figure BDA00002809571000065
As a benchmark, calculate the deviation of the amplitude and phase of each channel from the benchmark, and obtain the channel amplitude inconsistency parameter A i ′=A i /A 1 and phase inconsistency parameter
Figure BDA00002809571000066
Wherein, i is the channel number, 1≤i≤P, and P is the total number of receiving channels of the array.

(4)判断频点校准完否(4) Judging whether the frequency point calibration is completed

本发明可适用于任何频率范围内,如果需要求在较宽频带范围内的通道参数,则需发送多个频点的校准信号。发送第一个频点的校准信号并且提取该频点的通道参数后,判断频点校准完否,当频点没有校准完则切换到下一个频点,重复(1)~(3)步骤,直至完成所有频点的通道参数的提取。The present invention is applicable to any frequency range, and if channel parameters within a wider frequency band are required, calibration signals of multiple frequency points need to be sent. After sending the calibration signal of the first frequency point and extracting the channel parameters of this frequency point, judge whether the frequency point is calibrated or not. If the frequency point is not calibrated, switch to the next frequency point and repeat steps (1) to (3). Until the extraction of channel parameters of all frequency points is completed.

(5)停止发送校准信号(5) Stop sending the calibration signal

通道参数提取完毕后,则各接收天线不需要接收校准信号,因此,要停止发送校准信号,关闭信号发生器,使校准信号发射天线不再发送校准信号。After the channel parameters are extracted, each receiving antenna does not need to receive the calibration signal. Therefore, it is necessary to stop sending the calibration signal and turn off the signal generator so that the calibration signal transmitting antenna no longer sends the calibration signal.

(6)处理通道参数(6) Processing channel parameters

本发明对通道参数做处理,消除干扰的影响,处理过程如图4所示。该步骤的具体处理过程为:The present invention processes channel parameters to eliminate the influence of interference, and the processing process is shown in FIG. 4 . The specific process of this step is:

(6.1)假设在所需校准的工作频段内设置的多个校准频点为fk,k=1,2,...,K,K为设置的校准频点总个数,在每个校准频点提取的通道幅度相对值为A′i,k,以及相位相对值为

Figure BDA00002809571000067
i为通道序号。如果在该校准频点处或相邻频点处有外界干扰,但干扰幅度比较小,则该频点处的通道参数直接取为A′i,k
Figure BDA00002809571000071
若外界干扰幅度比较大,则需要进行处理。(6.1) Assume that the multiple calibration frequency points set in the working frequency band to be calibrated are f k , k=1, 2, ..., K, K is the total number of calibration frequency points set, in each calibration The relative value of the channel amplitude extracted by the frequency point is A′ i, k , and the relative value of the phase is
Figure BDA00002809571000067
i is the channel number. If there is external interference at the calibration frequency point or adjacent frequency points, but the interference amplitude is relatively small, then the channel parameters at this frequency point are directly taken as A′ i, k and
Figure BDA00002809571000071
If the external interference is relatively large, it needs to be dealt with.

本发明实例是根据所得到的相位-频率曲线的毛刺情况决定是否处理该频点处的通道参数。其中,A′i,k

Figure BDA00002809571000073
表示第i通道、第k个频点处的幅度、相位不一致性参数。Example of the present invention is based on the obtained phase-frequency curve The glitch condition of the frequency determines whether to process the channel parameters at this frequency point. Among them, A′ i, k and
Figure BDA00002809571000073
Indicates the amplitude and phase inconsistency parameters at the i-th channel and the k-th frequency point.

在相位-频率曲线

Figure BDA00002809571000074
中,判断并处理毛刺点的方法:设置一个阈值T,当
Figure BDA00002809571000075
Figure BDA00002809571000076
则判定该频点处的为毛刺,这时将该频点处的通道幅度相对值A′i,k和相位相对值
Figure BDA00002809571000079
删除。T由相邻的校准频点间隔,通道长度,以及信号传输速度确定,因为
Figure BDA000028095710000710
T的单位为度,Δf为两校准信号的频率差,c为信号的传输速度,l是通道的长度。In the phase-frequency curve
Figure BDA00002809571000074
, the method of judging and dealing with glitch points: setting a threshold T, when
Figure BDA00002809571000075
Figure BDA00002809571000076
and Then determine the frequency point at the is a glitch, then the channel amplitude relative value A' i, k and phase relative value at this frequency point
Figure BDA00002809571000079
delete. T is determined by the adjacent calibration frequency interval, channel length, and signal transmission speed, because
Figure BDA000028095710000710
The unit of T is degrees, Δf is the frequency difference between the two calibration signals, c is the transmission speed of the signal, and l is the length of the channel.

(6.2)在被删除了通道参数的频点上进行插值,以插值结果取代已删除的通道参数,作为该频点处的通道参数。(6.2) Perform interpolation at the frequency point where the channel parameter has been deleted, and replace the deleted channel parameter with the interpolation result as the channel parameter at the frequency point.

具体插值方法可为三阶多项式插值等方法,以保证插值后的相位-频率曲线

Figure BDA000028095710000711
在整个工作频段内是平滑的。还可以在已校准的频点个数的基础上,根据需求进行加倍或多倍插值,即增加校准频点总个数K,得到更密集频点对应的通道参数。The specific interpolation method can be third-order polynomial interpolation and other methods to ensure the phase-frequency curve after interpolation
Figure BDA000028095710000711
It is smooth over the entire operating frequency band. Based on the number of calibrated frequency points, doubling or multi-fold interpolation can be performed according to requirements, that is, the total number K of calibrated frequency points can be increased to obtain channel parameters corresponding to denser frequency points.

(6.3)重复步骤(6.1)~(6.2),得到所有通道处理后的通道参数。(6.3) Steps (6.1) to (6.2) are repeated to obtain the channel parameters after all channels are processed.

(7)数据采集(7) Data collection

圆形天线阵上各接收天线接收所需的空中信号,同步采集各路信号。Each receiving antenna on the circular antenna array receives the required air signal, and collects each signal synchronously.

(8)通道补偿(8) Channel Compensation

通道补偿有宽带补偿方法和多窄带补偿方法。Channel compensation has a broadband compensation method and a multi-narrowband compensation method.

宽带补偿过程如图5所示,本发明提供对各通道接收的信号进行宽频带内幅度相位补偿的方法,具体步骤如下:The wideband compensation process is shown in Figure 5. The present invention provides a method for performing wideband amplitude phase compensation on signals received by each channel. The specific steps are as follows:

(a1)、构造宽带补偿滤波器,根据FIR滤波器参数的对称性,将第i路通道的各个校准频点处得到的通道参数A′i,k

Figure BDA00002809571000081
作为宽带补偿滤波器的频域响应Hi(f)正频带上的参数,将A′j,k
Figure BDA00002809571000082
作为Hi(f)的负频带上的参数,再对Hi(f)进行傅里叶反变换,即可得到宽带补偿滤波器的时域冲击响应hi(n)。(a1), construct broadband compensating filter, according to the symmetry of FIR filter parameter, the channel parameter A ' i that obtains at each calibration frequency point place of i channel, k and
Figure BDA00002809571000081
As the parameters on the positive frequency band of the frequency domain response H i (f) of the broadband compensation filter, A′ j, k and
Figure BDA00002809571000082
As a parameter on the negative frequency band of H i (f), the time-domain impulse response h i (n) of the broadband compensation filter can be obtained by inverse Fourier transform of H i (f).

(a2)、将第i通道接收到的待校准的信号xi(n)进入数字补偿滤波器中,与宽带补偿滤波器的时域冲击响应hi(n)进行卷积,即:(a2), enter the signal x i (n) to be calibrated received by the i channel into the digital compensation filter, and convolve it with the time-domain impulse response h i (n) of the broadband compensation filter, namely:

SS ii ′′ == hh ii (( nno )) ⊗⊗ xx ii (( nno ))

s′i(n)为经过第i通道补偿后的信号。s' i(n) is the compensated signal of the i-th channel.

(a3)、重复步骤(a1)~(a2),得到所有通道补偿后的接收信号。(a3). Steps (a1) to (a2) are repeated to obtain the compensated received signals of all channels.

本发明还可各通道接收的信号进行多窄带补偿,过程如图6所示,具体步骤如下:The present invention can also carry out multi-narrowband compensation for signals received by each channel, the process is shown in Figure 6, and the specific steps are as follows:

(b1)、将第i通道接收的宽带数字信号xi(n),经过信道化处理,即用带宽为Δf、中心频率分别为fm的若干个带通滤波器对全频带的接收信号xi(n)进行滤波,得到信道化输出信号:(b1), the wideband digital signal x i (n) received by the i channel is processed through channelization, that is, several bandpass filters whose bandwidth is Δf and center frequency are respectively f m are used to process the received signal x of the full frequency band i (n) is filtered to obtain the channelized output signal:

ythe y ii ,, mm (( nno )) == xx ii (( nno )) ⊗⊗ gg ii ,, mm (( nno ))

gi,m(n)为第i通道的第m个信道带通滤波器的冲击响应,m=1,2,...,M,M为信道个数。g i, m (n) is the impulse response of the m-th channel bandpass filter of the i-th channel, m=1, 2, . . . , M, and M is the number of channels.

通过信道化处理后,将宽带接收信号xi(n)变为多个窄带复信号yi,m(n)(信道化信号)。After channelization processing, the wideband received signal x i (n) is transformed into multiple narrowband complex signals y i,m (n) (channelized signals).

(b2)、根据通道参数,构造第i通道、第m个信道内的补偿因子ri,m(b2), according to the channel parameters, construct the compensation factor r i, m in the i-th channel and the m-th channel:

Figure BDA00002809571000085
Figure BDA00002809571000085

j是虚单位,e是自然对数的底数,A′i,m为第i通道、第m个信道内的幅度不一致性参数,

Figure BDA00002809571000086
为第i通道、第m个信道内的相位不一致性参数。j is the imaginary unit, e is the base of the natural logarithm, A′ i, m is the amplitude inconsistency parameter in the i-th channel and the m-th channel,
Figure BDA00002809571000086
is the phase inconsistency parameter in the i-th channel and the m-th channel.

(b3)、将第i通道、第m个信道内的通道参数补偿到对应信道的窄带复信号中,得到该通道、该信道处的补偿输出信号s″i,m(n):(b3), compensating the channel parameters in the i channel and the m channel to the narrowband complex signal of the corresponding channel, obtaining the channel, the compensation output signal s″ i at the channel place, m (n):

s″i,m(n)=ri,myi,m(n)s″ i, m (n) = r i, m y i, m (n)

利用上式求出该通道的接收信号位于所有窄带信道处的补偿输出信号。Use the above formula to obtain the compensation output signal where the received signal of this channel is located at all narrowband channels.

(b4)、重复(b1)~(b3),求得所有通道在每个窄带信道处的补偿输出信号。(b4). Repeat (b1) to (b3) to obtain the compensation output signals of all channels at each narrowband channel.

本发明基于圆形天线阵列,在存在密集干扰的复杂电磁环境下,对各通道的校准。圆形天线阵中心放置一根用于发送校准信号的校准信号发射天线10,信号发生器单元11产生的单频信号作为阵列校准过程中的校准信号。圆形天线阵上均匀放置P根接收天线12,在提取阵列通道参数阶段,接收混有外界干扰的校准信号;在补偿阵列信号阶段,接收所需校准的阵列信号。The invention is based on a circular antenna array, and calibrates each channel in a complex electromagnetic environment with dense interference. A calibration signal transmitting antenna 10 for sending calibration signals is placed in the center of the circular antenna array, and the single-frequency signal generated by the signal generator unit 11 is used as the calibration signal during the array calibration process. P receiving antennas 12 are evenly placed on the circular antenna array, and the calibration signal mixed with external interference is received in the stage of extracting the array channel parameters; in the stage of compensating the array signal, the array signal to be calibrated is received.

本发明的阵列校准装置如图1所示,阵列接收机前端13可包含放大、滤波、变频、模数转换等模块。在阵列通道参数提取单元14里,接收的阵列信号与参考信号根据自适应滤波器的维纳解形式,进行相关运算,提取出通道参数。通道参数处理单元15是对校准频点或邻频处若存在强干扰的情况下做处理,若干扰较小,信干比比较大,则不做处理,得到最终的通道参数。通道补偿单元16包含宽带补偿单元160和多窄带补偿单元161,即两种补偿方法,消除接收到的信号包含的阵列通道误差。The array calibration device of the present invention is shown in FIG. 1 , and the array receiver front end 13 may include modules such as amplification, filtering, frequency conversion, and analog-to-digital conversion. In the array channel parameter extraction unit 14, the received array signal and the reference signal are correlated according to the Wiener solution form of the adaptive filter to extract the channel parameters. The channel parameter processing unit 15 is to process if there is strong interference at the calibration frequency point or adjacent frequency, if the interference is small and the signal-to-interference ratio is relatively large, no processing is performed to obtain the final channel parameters. The channel compensation unit 16 includes a wideband compensation unit 160 and a multi-narrowband compensation unit 161 , namely two compensation methods, to eliminate array channel errors contained in received signals.

以上所述为本发明的较佳实施例而已,但本发明不应该局限于该实施例和附图所公开的内容。所以凡是不脱离本发明所公开的精神下完成的等效或修改,都落入本发明保护的范围。The above description is only a preferred embodiment of the present invention, but the present invention should not be limited to the content disclosed in this embodiment and the accompanying drawings. Therefore, all equivalents or modifications that do not deviate from the spirit disclosed in the present invention fall within the protection scope of the present invention.

Claims (9)

1.一种复杂电磁环境下的天线阵列校准方法,包括以下步骤:1. An antenna array calibration method under a complex electromagnetic environment, comprising the following steps: 第1步发送校准信号;Step 1 Send calibration signal; 第2步利用圆形天线阵接收发送的校准信号,将接收的各路信号进行模数转换,得到阵列数字信号;The second step is to use the circular antenna array to receive the sent calibration signal, and perform analog-to-digital conversion on the received signals to obtain the array digital signal; 第3步利用得到的阵列数字信号,提取出各通道的幅度和相位,再将某一通道的幅度和相位作为基准,求其它各通道的幅度和相位与基准的相对值,即通道幅度不一致性和通道相位不一致性;Step 3 Use the obtained array digital signal to extract the amplitude and phase of each channel, and then use the amplitude and phase of a certain channel as a reference to find the relative value of the amplitude and phase of other channels and the reference, that is, the channel amplitude inconsistency Inconsistency with channel phase; 第4步判断所有频点是否校准完毕,如果是,则进入第5步,否则,切换到下一个频点,重复第1步至第3步,直至完成所有频点的通道参数的提取;Step 4 judge whether all frequency points are calibrated, if yes, go to step 5, otherwise, switch to the next frequency point, repeat step 1 to step 3, until the extraction of channel parameters of all frequency points is completed; 第5步停止发送校准信号;Step 5 stop sending calibration signal; 第6步对通道参数进行处理,消除干扰的影响;The sixth step is to process the channel parameters to eliminate the influence of interference; 第7步圆形天线阵上各接收天线接收空中信号,并将接收的各路信号进行模数转换,得到阵列数字信号;Step 7: Each receiving antenna on the circular antenna array receives air signals, and performs analog-to-digital conversion on the received signals to obtain array digital signals; 第8步对得到的阵列数字信号进行补偿,得到补偿输出信号。Step 8 Compensate the obtained array digital signal to obtain a compensated output signal. 2.根据权利要求1所述的天线阵列校准方法,其特征在于,第3步具体包括下述过程:2. antenna array calibration method according to claim 1, is characterized in that, the 3rd step specifically comprises the following process: (3.1)圆形天线阵各接收天线接收来自校准信号发射天线发送的校准信号,以及干扰信号,第i个接收天线接收的信号经过模数转换后记为si(n),n为采样点的序号;(3.1) Each receiving antenna of the circular antenna array receives the calibration signal sent by the calibration signal transmitting antenna and the interference signal. The signal received by the i-th receiving antenna is recorded as s i (n) after analog-to-digital conversion, and n is the number of sampling points serial number; (3.2)产生与校准信号相同频点的单频序列cos2πfn,作为参考信号1,以及sin2πfn,作为参考信号2,f为发射的校准信号频率;(3.2) Generate a single-frequency sequence cos2πfn at the same frequency as the calibration signal, as reference signal 1, and sin2πfn, as reference signal 2, and f is the frequency of the transmitted calibration signal; (3.3)根据参考信号与接收的信号,进行相关运算,提取通道参数,包括幅度Ai、相位
Figure FDA00002809570900021
(3.3) According to the reference signal and the received signal, perform correlation calculations to extract channel parameters, including amplitude A i , phase
Figure FDA00002809570900021
(3.4)将其中一个通道的幅度和相位参数作为基准,求取各通道的幅度和相位值与该基准的偏差,得到通道幅度不一致性参数和相位不一致性参数。(3.4) Taking the amplitude and phase parameters of one of the channels as a reference, calculate the deviation between the amplitude and phase values of each channel and the reference, and obtain the channel amplitude inconsistency parameter and phase inconsistency parameter.
3.根据权利要求2所述的天线阵列校准方法,其特征在于,第3步包括下述过程:步骤(3.3)为:假设位于圆形天线阵中心位置的校准信号发射天线所发射的校准信号为cos2πft,t为发射的时间,第i个接收天线接收该校准信号并经放大、滤波和模数转换后,其输出信号为
Figure FDA00002809570900022
Ai为第i通道输出信号的幅度、
Figure FDA00002809570900023
为该通道输出信号的相移,计算该通道的相关统计量wopt
3. The antenna array calibration method according to claim 2, characterized in that the third step includes the following process: step (3.3) is: the calibration signal transmitted by the calibration signal transmitting antenna assumed to be located in the center of the circular antenna array is cos2πft, t is the transmission time, the i-th receiving antenna receives the calibration signal and after amplification, filtering and analog-to-digital conversion, its output signal is
Figure FDA00002809570900022
A i is the amplitude of the i-th channel output signal,
Figure FDA00002809570900023
For the phase shift of the output signal of this channel, calculate the correlation statistic w opt of this channel:
ww optopt == II ii QQ ii == 22 NN ΣΣ nno == 11 NN {{ sthe s ii (( nno )) coscos 22 πfnπfn }} -- ΣΣ nno == 11 NN {{ sthe s ii (( nno )) sinsin 22 πfnπfn }} 在上式中,f为所发射的校准信号的频率,N为用于计算相关统计量wopt的采样点总数,求出权值Ii和Qi,并利用
Figure FDA00002809570900025
Figure FDA00002809570900026
计算出第i通道的幅度Ai、相位
In the above formula, f is the frequency of the transmitted calibration signal, N is the total number of sampling points used to calculate the correlation statistic w opt , the weights I i and Q i are obtained, and using
Figure FDA00002809570900025
Figure FDA00002809570900026
Calculate the amplitude A i and phase of the i-th channel
4.根据权利要求1、2或3所述的天线阵列校准方法,其特征在于,第6步具体包括下述过程:4. The antenna array calibration method according to claim 1, 2 or 3, wherein the 6th step specifically comprises the following process: 假设在所需校准的工作频段内设置的多个校准频点为fk,k=1,2,...,K,K为设置的校准频点总个数,在每个校准频点提取的通道幅度相对值为A′i,k,以及相位相对值为i为通道序号;如果在某校准频点处或相邻频点处有外界干扰,但干扰幅度比较小,则该频点处的通道参数直接取为A′i,k
Figure FDA00002809570900029
否则,剔除该频点的通道参数,再进行插值处理,取代之前的通道参数,消除干扰的影响。
Assume that the multiple calibration frequency points set in the working frequency band to be calibrated are f k , k=1,2,...,K, K is the total number of calibration frequency points set, and each calibration frequency point is extracted The channel amplitude relative value of is A′ i,k , and the phase relative value is i is the channel number; if there is external interference at a calibration frequency point or an adjacent frequency point, but the interference amplitude is relatively small, the channel parameters at this frequency point are directly taken as A′ i, k and
Figure FDA00002809570900029
Otherwise, remove the channel parameters of the frequency point, and then perform interpolation processing to replace the previous channel parameters to eliminate the influence of interference.
5.根据权利要求4所述的天线阵列校准方法,其特征在于,第6步中根据所得到的相位-频率曲线
Figure FDA00002809570900031
的毛刺情况决定是否处理该频点处的通道参数。
5. antenna array calibration method according to claim 4, is characterized in that, in the 6th step, according to the obtained phase-frequency curve
Figure FDA00002809570900031
The glitch condition of the frequency determines whether to process the channel parameters at this frequency point.
6.根据权利要求5所述的天线阵列校准方法,其特征在于,在相位-频率曲线
Figure FDA00002809570900032
中,判断并处理毛刺点的方法:
6. antenna array calibration method according to claim 5, is characterized in that, in phase-frequency curve
Figure FDA00002809570900032
In , the method of judging and dealing with glitch points:
(6.1)当
Figure FDA00002809570900035
则判定该频点处的
Figure FDA00002809570900036
为毛刺,这时将该频点处的通道幅度相对值A′i,k和相位相对值删除,其中,T为预先设定的阈值;
(6.1) when and
Figure FDA00002809570900035
Then determine the frequency point at the
Figure FDA00002809570900036
is a glitch, then the channel amplitude relative value A' i, k and phase relative value at this frequency point Delete, wherein, T is a preset threshold;
(6.2)在被删除了通道参数的频点上进行插值,以插值结果取代已删除的通道参数,作为该频点处的通道参数;(6.2) Perform interpolation at the frequency point where the channel parameter has been deleted, and replace the deleted channel parameter with the interpolation result as the channel parameter at the frequency point; (6.3)重复步骤(6.1)~(6.2),得到所有通道处理后的通道参数。(6.3) Repeat steps (6.1)~(6.2) to obtain the channel parameters after all channel processing.
7.根据权利要求所述1至6中任一所述的线阵列校准方法,其特征在于,第8步按照下述过程进行宽带补偿:7. according to the line array calibration method described in any one of claim 1 to 6, it is characterized in that, the 8th step carries out broadband compensation according to the following process: (a1)、构造宽带补偿滤波器,根据FIR滤波器参数的对称性,将第i路通道的各个校准频点处得到的通道参数A′i,k
Figure FDA00002809570900038
作为宽带补偿滤波器的频域响应Hi(f)正频带上的参数,将A′i,k
Figure FDA00002809570900039
作为Hi(f)的负频带上的参数,再对Hi(f)进行傅里叶反变换,即得到宽带补偿滤波器的时域冲击响应hi(n);
(a1), construct broadband compensation filter, according to the symmetry of FIR filter parameter, the channel parameter A ' i, k that obtains at each calibration frequency point place of the i-th road channel obtains and
Figure FDA00002809570900038
As parameters on the positive frequency band of the frequency domain response H i (f) of the broadband compensation filter, A′ i, k and
Figure FDA00002809570900039
As a parameter on the negative frequency band of H i (f), then inverse Fourier transform is performed on H i (f), that is, the time-domain impulse response h i (n) of the broadband compensation filter is obtained;
(a2)、将第i通道接收到的待校准的信号xi(n)进入数字补偿滤波器中,与宽带补偿滤波器的时域冲击响应hi(n)进行卷积,即:(a2), enter the signal x i (n) to be calibrated received by the i channel into the digital compensation filter, and convolve it with the time-domain impulse response h i (n) of the broadband compensation filter, namely: sthe s ii ′′ (( nno )) == hh ii (( nno )) ⊗⊗ xx ii (( nno )) s′i(n)为经过第i通道补偿后的信号;s' i(n) is the compensated signal of the i-th channel; (a3)、重复步骤(a1)~(a2),得到所有通道补偿后的接收信号。(a3). Steps (a1)~(a2) are repeated to obtain the received signals after compensation of all channels.
8.根据权利要求1到6中任一所述的天线阵列校准方法,其特征在于,第8步按照下述过程进行多窄带补偿:8. According to the antenna array calibration method described in any one of claims 1 to 6, it is characterized in that the 8th step carries out multi-narrowband compensation according to the following process: (b1)、将第i通道接收到的待校准的信号xi(n),经过信道化处理,得到信道化输出信号:(b1), the signal x i (n) to be calibrated received by the i-th channel is channelized to obtain a channelized output signal: ythe y ii ,, mm (( nno )) == xx ii (( nno )) ⊗⊗ gg ii ,, mm (( nno )) gi,m(n)为第i通道的第m个信道带通滤波器的冲击响应,m=1,2,…,M,M为信道个数,g i, m (n) is the impulse response of the m-th channel bandpass filter of the i-th channel, m=1,2,...,M, M is the number of channels, 通过信道化处理后,将宽带接收信号xi(n)变为多个窄带复信号yi,m(n);After channelization processing, the wideband received signal x i (n) is transformed into multiple narrowband complex signals y i,m (n); (b2)、根据通道参数,构造第i通道、第m个信道内的补偿因子ri,m(b2), according to the channel parameters, construct the compensation factor r i,m in the i-th channel and the m-th channel: j是虚单位,e是自然对数的底数,A′i,m为第i通道、第m个信道内的幅度不一致性参数,
Figure FDA00002809570900043
为第i通道、第m个信道内的相位不一致性参数;
j is the imaginary unit, e is the base of the natural logarithm, A′ i, m is the amplitude inconsistency parameter in the i-th channel and the m-th channel,
Figure FDA00002809570900043
is the phase inconsistency parameter in the i-th channel and the m-th channel;
(b3)、将第i通道、第m个信道内的通道参数补偿到对应信道的窄带复信号中,得到该通道、该信道处的补偿输出信号s″i,m(n):(b3), compensating the channel parameters in the i channel and the m channel to the narrowband complex signal of the corresponding channel, obtaining the channel, the compensation output signal s″ i at the channel place, m (n): s″i,m(n)=ri,myi,m(n)s″ i, m (n) = r i, m y i, m (n) 利用上式求出该通道的接收信号位于所有窄带信道处的补偿输出信号;Use the above formula to find the compensation output signal where the received signal of this channel is located at all narrowband channels; (b4)、重复(b1)~(b3),求得所有通道在每个窄带信道处的补偿输出信号。(b4). Repeat (b1)~(b3) to obtain the compensation output signals of all channels at each narrowband channel.
9.一种复杂电磁环境下的天线阵列校准装置,其特征在于,该装置包括信号发生器单元、圆形天线阵单元、阵列接收机前端单元、阵列通道参数提取单元、通道参数处理单元和通道补偿单元;9. An antenna array calibration device in a complex electromagnetic environment, characterized in that the device includes a signal generator unit, a circular antenna array unit, an array receiver front-end unit, an array channel parameter extraction unit, a channel parameter processing unit and a channel compensation unit; 所述圆形天线阵单元用于接收信号和发射校准信号,圆阵的中心放置一根用于发送校准信号的校准信号发射天线,圆形天线阵的圆周上均匀放置多根接收天线,每相邻接收天线间的距离都相等,该接收天线用于在提取阵列通道参数阶段接收混有外界干扰的校准信号,在补偿阵列信号阶段,接收所需待校准的阵列信号;所述信号发生器单元用于产生的单频信号作为阵列校准过程中的校准信号;The circular antenna array unit is used to receive signals and transmit calibration signals. A calibration signal transmitting antenna for sending calibration signals is placed in the center of the circular array. Multiple receiving antennas are evenly placed on the circumference of the circular antenna array. Each phase The distances between adjacent receiving antennas are all equal, and the receiving antennas are used to receive calibration signals mixed with external interference in the phase of extracting array channel parameters, and receive required array signals to be calibrated in the phase of compensating array signals; the signal generator unit The single-frequency signal used for generation is used as a calibration signal in the array calibration process; 所述阵列接收机前端单元用于对接收的信号进行放大、滤波、模数转换处理,并提供给所述阵列通道参数提取单元;The front-end unit of the array receiver is used for amplifying, filtering, and analog-to-digital conversion processing on the received signal, and providing it to the array channel parameter extraction unit; 所述阵列通道参数提取单元用于将接收的阵列信号与参考信号根据自适应滤波器的维纳解形式,进行运算,提取出通道参数,并提供给所述通道参数处理单元;The array channel parameter extraction unit is used to perform operations on the received array signal and the reference signal according to the Wiener solution form of the adaptive filter, extract channel parameters, and provide them to the channel parameter processing unit; 所述通道参数处理单元用于对校准频点或邻频处若存在强干扰的情况下做处理,并将处理后的数据提供给通道补偿单元;若干扰较小,信干比比较大,则不做处理,得到最终的通道参数;The channel parameter processing unit is used to process the calibration frequency point or if there is strong interference at the adjacent frequency, and provide the processed data to the channel compensation unit; if the interference is small and the signal-to-interference ratio is relatively large, then Without processing, get the final channel parameters; 所述通道补偿单元包含宽带补偿单元和/或多窄带补偿单元,消除接收到的信号包含的阵列通道误差。The channel compensation unit includes a broadband compensation unit and/or a multi-narrowband compensation unit to eliminate array channel errors contained in received signals.
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