CN102208951B - Method for eliminating acoustic radiation interferences in ultrasonic positioning - Google Patents
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Abstract
本发明提供了一种消除超声定位中声辐射干扰的方法。所述方法具有如下特征:首先通过数字滤波对超声接收信号进行预处理,然后通过一阶差分提取超声接收信号峰值包络;其次对超声接收信号峰值包络进行二阶差商,并基于二阶差商最大值获得超声接收信号的断点位置;再次,将所述断点位置映射到参考信号上以获得参考信号上的“伪断点”位置并基于参考信号的“伪断点”位置进行泰勒级数展开;最后,利用泰勒级数展开获得的波形替换所述断点之前的波形。本发明的优点在于:成本低、灵活性高,在有无声辐射干扰的条件下均能准确地恢复出适于定位的超声信号,适用性强,且算法的运算量小,能应用于实时性高的超声定位系统中。
The invention provides a method for eliminating acoustic radiation interference in ultrasonic positioning. The method has the following characteristics: firstly, the ultrasonic receiving signal is preprocessed by digital filtering, and then the peak envelope of the ultrasonic receiving signal is extracted by first-order difference; secondly, the second-order difference quotient is performed on the peak envelope of the ultrasonic receiving signal, and based on the second-order The maximum value of the difference quotient obtains the breakpoint position of the ultrasonic received signal; again, the breakpoint position is mapped onto the reference signal to obtain the "false breakpoint" position on the reference signal and based on the "false breakpoint" position of the reference signal. Taylor series expansion; finally, replace the waveform before the breakpoint with the waveform obtained by Taylor series expansion. The invention has the advantages of low cost and high flexibility, can accurately restore ultrasonic signals suitable for positioning under the condition of noise or non-radiation interference, has strong applicability, and the calculation amount of the algorithm is small, and can be applied to real-time High ultrasonic positioning system.
Description
技术领域 technical field
本发明涉及一种消除声辐射干扰的方法,具体涉及一种在超声定位中消除声辐射干扰以获得适于定位的超声信号的方法。 The invention relates to a method for eliminating acoustic radiation interference, in particular to a method for eliminating acoustic radiation interference in ultrasonic positioning to obtain ultrasonic signals suitable for positioning.
背景技术 Background technique
在实际运用中,如超声定位的典型系统—超声电子白板系统,其在书写板面内会存在一种声辐射干扰,此干扰的产生符合结构声学的吻合效应,其频率与信号频率相近甚至相等,其辐射遵循无指向性且强度大,现有的滤波技术难以将其滤除,从而会严重影响到系统定位性能,甚至会导致系统定位功能失效,严重地制约了超声定位系统的应用领域。2008年,美国ebeam公司针对超声波在温度不均匀情况下的折射、反射等引起的声干扰问题,提出了基于多接收器分区定位的抗干扰方案,它在定位区域较大且环境温度变化不均匀时解决此声干扰是有效的,但存在成本高以及灵活性不够等缺点。2009年,该公司针对未知干扰,提出了自适应干扰消除的方案,虽然应用最小均方算法能很好地抑制此类干扰,但其收敛速度慢、实时性差,难以在嵌入式超声定位系统中应用。 In practical applications, such as the typical system of ultrasonic positioning—ultrasonic electronic whiteboard system, there will be a kind of acoustic radiation interference in the writing board. , its radiation is non-directional and strong, and the existing filtering technology is difficult to filter it out, which will seriously affect the system positioning performance, and even lead to the failure of the system positioning function, which seriously restricts the application field of the ultrasonic positioning system. In 2008, the American ebeam company proposed an anti-jamming solution based on multi-receiver partition positioning for the problem of acoustic interference caused by ultrasonic refraction and reflection under uneven temperature conditions. It has a large positioning area and uneven ambient temperature changes It is effective to solve the acoustic interference at the time, but there are disadvantages such as high cost and insufficient flexibility. In 2009, the company proposed an adaptive interference elimination scheme for unknown interference. Although the least mean square algorithm can suppress this type of interference well, its convergence speed is slow and its real-time performance is poor, so it is difficult to implement it in the embedded ultrasonic positioning system. application.
发明内容 Contents of the invention
基于以上分析,在现有的超声抗干扰技术基础上进行创新,针对超声定位中声辐射干扰对定位功能的影响,寻求一种实时性较高的声辐射干扰消除方法是本发明的主要目标。 Based on the above analysis, innovating on the basis of the existing ultrasonic anti-interference technology, aiming at the influence of acoustic radiation interference on the positioning function in ultrasonic positioning, it is the main goal of the present invention to seek a sound radiation interference elimination method with high real-time performance.
本发明提供了一种有效的超声定位中声辐射干扰消除方法,包括如下步骤: The invention provides an effective method for eliminating acoustic radiation interference in ultrasonic positioning, comprising the following steps:
(1) 超声接收信号预处理; (1) Ultrasonic received signal preprocessing;
(2) 提取超声接收信号峰值包络,确定超声接收信号峰值包络上的最大值点或次最大值点或者最小值点为特征点; (2) Extract the peak envelope of the ultrasonic received signal, and determine the maximum point or sub-maximum point or minimum point on the peak envelope of the ultrasonic received signal as the feature point;
(3) 确定断点的位置; (3) Determine the location of the breakpoint;
(4) 根据步骤(3)中获得的断点位置,通过选取步骤(2)中获得的超声接收信号峰值包络的特征点,计算断点在超声接收信号上的相对位置并映射到参考信号上以获得参考信号的“伪断点”位置,基于“伪断点”作泰勒级数展开; (4) According to the breakpoint position obtained in step (3), by selecting the characteristic points of the peak envelope of the ultrasonic received signal obtained in step (2), calculate the relative position of the breakpoint on the ultrasonic received signal and map it to the reference signal Obtain the position of the "pseudo-breakpoint" of the reference signal, and perform Taylor series expansion based on the "pseudo-breakpoint";
(5) 波形替换。 (5) Waveform replacement.
本发明所述步骤(1)中描述的超声接收信号预处理过程是指对超声接收信号进行数字滤波,滤除高频分量和去除直流分量。 The ultrasonic receiving signal preprocessing process described in the step (1) of the present invention refers to performing digital filtering on the ultrasonic receiving signal, filtering out high-frequency components and removing DC components.
本发明所述步骤(2)中描述的提取超声接收信号峰值包络过程是指对预处理后的超声接收信号进行一阶差分运算以进行符号变化判定,从而提取出超声接收信号的峰值包络。 The process of extracting the peak envelope of the ultrasonic received signal described in step (2) of the present invention refers to performing a first-order difference operation on the preprocessed ultrasonic received signal to determine the sign change, thereby extracting the peak envelope of the ultrasonic received signal .
本发明所述步骤(3)中描述的确定断点的位置的过程是指对步骤(2)中获得的超声接收信号峰值包络进行二阶差商,并通过获取二阶差商最大值得到超声接收信号断点的位置。 The process of determining the position of the breakpoint described in the step (3) of the present invention refers to carrying out the second-order difference quotient to the peak envelope of the ultrasonic received signal obtained in the step (2), and obtaining the maximum value of the second-order difference quotient to obtain The position of the breakpoint of the ultrasonic received signal.
本发明所述步骤(4)基于“伪断点”作泰勒级数展开的过程,其中所述的参考信号可以是混合指数模型信号、双指数模型信号或者高斯模型信号。 The step (4) of the present invention is based on the process of Taylor series expansion based on "false breakpoints", wherein the reference signal can be a mixed exponential model signal, a double exponential model signal or a Gaussian model signal.
本发明6所述步骤(5)中的波形替换过程是指利用步骤(4)中泰勒级数展开获得的波形替换步骤(3)中所述断点之前的波形。
The waveform replacement process in step (5) of the
通过获取实测超声接收信号断点位置,再通过映射关系获得参考信号上的“伪断点”位置,进一步利用“伪断点”处的泰勒级数展开获得的波形替换实测超声接收信号断点以前的波形,最终消除声辐射干扰。通过上述步骤,达到消除声辐射干扰的目的。 By obtaining the position of the breakpoint of the measured ultrasonic receiving signal, and then obtaining the position of the "pseudo-breakpoint" on the reference signal through the mapping relationship, the waveform obtained by Taylor series expansion at the "pseudo-breakpoint" is further used to replace the breakpoint of the measured ultrasonic receiving signal before the breakpoint Waveform, and finally eliminate the sound radiation interference. Through the above steps, the purpose of eliminating acoustic radiation interference is achieved.
本发明的优点具有如下优点: Advantage of the present invention has following advantage:
1. 与现有滤波技术相比较,本发明提出的方法有效地消除超声定位系统的声辐射干扰。 1. Compared with the existing filtering technology, the method proposed by the present invention effectively eliminates the acoustic radiation interference of the ultrasonic positioning system.
2. 利用参考信号“伪断点”处泰勒级数展开替代超声接收信号断点之前波形,在保证消除声辐射干扰的同时可有效地降低算法的运算量,利于在实时性要求较高的嵌入式超声定位系统中的应用。 2. Using the Taylor series expansion at the "false breakpoint" of the reference signal to replace the waveform before the breakpoint of the ultrasonic receiving signal can effectively reduce the computational load of the algorithm while ensuring the elimination of acoustic radiation interference, which is beneficial to embedding with high real-time requirements application in ultrasonic positioning systems.
附图说明 Description of drawings
图1是本发明的消除超声定位中声辐射干扰方法的总体流程图; Fig. 1 is the overall flowchart of the method for eliminating acoustic radiation interference in ultrasonic positioning of the present invention;
图2是本发明的超声接收信号预处理框图; Fig. 2 is a block diagram of the ultrasonic receiving signal preprocessing of the present invention;
图3A是本发明的携带声辐射干扰的超声接收信号预处理后的波形图; Fig. 3A is the preprocessed waveform diagram of the ultrasonic receiving signal carrying acoustic radiation interference of the present invention;
图3B是本发明的超声电子白板系统产生声辐射干扰的具体实施例; Fig. 3B is a specific embodiment of the acoustic radiation interference generated by the ultrasonic electronic whiteboard system of the present invention;
图4是本发明的带有声辐射干扰的超声信号预处理后的峰值包络图; Fig. 4 is the peak envelope figure after preprocessing of the ultrasonic signal with acoustic radiation interference of the present invention;
图5A是本发明的超声接收信号断点位置确定的流程图; Fig. 5A is a flow chart of determining the position of the breakpoint of the ultrasonic received signal of the present invention;
图5B是本发明的用于超声接收信号断点位置确定的波形图; Fig. 5B is a waveform diagram for determining the breakpoint position of the ultrasonic received signal according to the present invention;
图6是本发明的断点位置映射关系示意图; Fig. 6 is a schematic diagram of the mapping relationship of breakpoint positions in the present invention;
图7是本发明的利用参考信号上对应“伪断点”位置的泰勒级数展开获得的波形替换超声接收信号断点前信号波形的实施过程; Fig. 7 is the implementation process of replacing the signal waveform before the breakpoint of the ultrasonic received signal by using the waveform obtained by Taylor series expansion corresponding to the position of the "false breakpoint" on the reference signal in the present invention;
图8A-1、8A-2、8B-1、8B-2、8C-1、8C-2是本发明的仿真实验结果图。 8A-1 , 8A-2 , 8B-1 , 8B-2 , 8C-1 , and 8C-2 are diagrams of simulation experiment results of the present invention.
具体实施方式 Detailed ways
包括如下步骤: Including the following steps:
(1) 超声接收信号预处理; (1) Ultrasonic received signal preprocessing;
图1是示出根据本发明的消除超声定位中声辐射干扰方法的总体流程图。具体包括如下步骤: Fig. 1 is a general flowchart illustrating a method for eliminating acoustic radiation interference in ultrasonic positioning according to the present invention. Specifically include the following steps:
[101]—对超声接收信号进行预处理,以获得高信噪比、低数据错误率的信号数据; [101]—the ultrasonic received signal is preprocessed to obtain signal data with high signal-to-noise ratio and low data error rate;
[102]—提取超声接收信号峰值包络,以便利用其进行算法处理; [102]—extract the peak envelope of the ultrasonic received signal, so as to utilize it to carry out algorithm processing;
[103]—确定断点的位置,以便进行映射变换; [103]—determine the position of breakpoint, so that mapping transformation is carried out;
[104]—基于“伪断点”作泰勒级数展开,以提取理想超声信号包络; [104]—Taylor series expansion based on "false breakpoint" to extract ideal ultrasonic signal envelope;
[105]—波形替换,以便获得消除声辐射干扰后适于定位的超声信号。 [105]—Waveform replacement in order to obtain ultrasonic signals suitable for localization after eliminating acoustic radiation interference.
图2是示出根据本发明的超声接收信号预处理框图。超声接收传感器接收的信号是非常微弱的模拟信号,在经信号放大电路和A/D转换电路后信号仍携带有一定的高频噪声,为此,在本发明的具体实施例中,选取数字FIR滤波器对超声接收信号进行预处理,并经时域卷积运算滤除高频分量和去除直流分量,以获得高信噪比、低数据错误率的信号数据; Fig. 2 is a block diagram showing the preprocessing of ultrasonic received signals according to the present invention. The signal received by the ultrasonic receiving sensor is a very weak analog signal, and the signal still carries certain high-frequency noise after the signal amplifier circuit and the A/D conversion circuit. For this reason, in a specific embodiment of the present invention, a digital FIR is selected. The filter preprocesses the ultrasonic received signal, and filters out high-frequency components and DC components through time-domain convolution operations to obtain signal data with high signal-to-noise ratio and low data error rate;
图3A是示出根据本发明的携带声辐射干扰的超声接收信号预处理后的波形图。如图所示,[301]是超声信号,[302]是声辐射信号。在本发明的超声电子白板系统产生声辐射干扰的具体实施例中,如图3B所示,由于信号笔[303]的激励会在书写板面[304]形成一个声辐射源[305],其辐射频率与板面弯曲刚度和板面厚度有关,辐射指向性是弱指向性,辐射强度大,经超声接收器[306]接收后将得到带有声辐射干扰的超声接收信号波形,声辐射干扰的存在会严重影响到系统定位性能,甚至会导致系统定位功能失效。 FIG. 3A is a waveform diagram showing preprocessed ultrasonic received signals carrying acoustic radiation interference according to the present invention. As shown in the figure, [301] is an ultrasonic signal, and [302] is an acoustic radiation signal. In the specific embodiment where the ultrasonic electronic whiteboard system of the present invention produces acoustic radiation interference, as shown in Figure 3B, due to the excitation of the signal pen [303], an acoustic radiation source [305] will be formed on the writing board surface [304], which The radiation frequency is related to the bending stiffness of the board surface and the thickness of the board surface. The radiation directivity is weak directivity and the radiation intensity is high. After receiving by the ultrasonic receiver [306], the ultrasonic receiving signal waveform with acoustic radiation interference will be obtained. Existence will seriously affect the system positioning performance, and even cause the system positioning function to fail.
(2) 提取超声接收信号峰值包络,确定超声接收信号峰值包络上的最大值点或次最大值点或者最小值点为特征点; (2) Extract the peak envelope of the ultrasonic received signal, and determine the maximum point or sub-maximum point or minimum point on the peak envelope of the ultrasonic received signal as the feature point;
图4是示出根据本发明的带有声辐射干扰的超声信号预处理后的峰值包络图。如图4所示,[401]代表信号最大峰值点,[402]代表由最大峰值点向前计算的第一个断点,对预处理后的超声接收信号进行一阶差分运算以进行符号变化判定,从而提取出超声接收信号的峰值包络,便于利用其进行算法处理。 Fig. 4 is a peak envelope diagram showing the preprocessed ultrasonic signal with acoustic radiation interference according to the present invention. As shown in Figure 4, [401] represents the maximum peak point of the signal, and [402] represents the first breakpoint calculated forward from the maximum peak point, and performs a first-order difference operation on the preprocessed ultrasonic received signal to perform sign change Judgment, so as to extract the peak envelope of the ultrasonic receiving signal, which is convenient for algorithm processing.
(3) 确定断点的位置; (3) Determine the location of the breakpoint;
图5A、5B是示出根据本发明的超声接收信号断点位置确定的具体实施过程。其具体定位过程如下: 5A and 5B show the specific implementation process of determining the breakpoint position of the ultrasonic received signal according to the present invention. The specific positioning process is as follows:
[501]—在保存数据中搜索最大幅值max1[505]; [501] - search for the maximum magnitude max1 [505] in the stored data;
[502]—搜索直达信号max2[506]并保存其地址max2ad[507]; [502] - search for direct signal max2 [506] and save its address max2ad [507];
[503]—在[506]前200点内,计算信号峰值的二阶差商; [503]—in the first 200 points of [506], calculate the second-order difference quotient of the peak value of the signal;
[504]—搜索二阶差商最大值,得到信号断点[402]。 [504]—Search for the maximum value of the second-order difference quotient to obtain the signal breakpoint [402].
(4) 根据步骤(3)中获得的断点位置,通过选取步骤(2)中获得的超声接收信号峰值包络的特征点,计算断点在超声接收信号上的相对位置并映射到参考信号上以获得参考信号的“伪断点”位置,基于“伪断点”作泰勒级数展开; (4) According to the breakpoint position obtained in step (3), by selecting the characteristic points of the peak envelope of the ultrasonic received signal obtained in step (2), calculate the relative position of the breakpoint on the ultrasonic received signal and map it to the reference signal Obtain the position of the "pseudo-breakpoint" of the reference signal, and perform Taylor series expansion based on the "pseudo-breakpoint";
图6是示出根据本发明的断点位置映射关系示意图。在超声接收信号的峰值包络中提取断点[402]位置和特征值点[401](在本实施例中,特征值点为超声接收信号峰值包络上的最大值点,但也不仅限于此,还可以根据实际情况以超声接收信号峰值包络上的次最大值点或者最小值点作为特征值点)后,将其对应映射到参考信号上以获得参考信号的“伪断点”[602]和最大峰值点[601]的位置,其映射关系为[401] [601],[402][602]。 Fig. 6 is a schematic diagram showing the mapping relationship of breakpoint positions according to the present invention. Extract breakpoint [402] position and eigenvalue point [401] in the peak envelope of ultrasonic received signal (in this embodiment, eigenvalue point is the maximum point on the peak envelope of ultrasonic received signal, but not limited to Therefore, according to the actual situation, the sub-maximum point or minimum point on the peak envelope of the ultrasonic received signal can also be used as the eigenvalue point), and then correspondingly mapped to the reference signal to obtain the "pseudo-breakpoint" of the reference signal [ 602] and the position of the maximum peak point [601], the mapping relationship is [401] [601], [402] [602].
需要进一步说明的是在本实施例中,参考信号可以是混合指数模型信号、双指数模型信号或者高斯模型信号。以混合指数模型信号为例,其信号表达式为,其中,是信号的幅度,m为正整数,取值范围为1~3,是超声信号的中心频率,为初相位,h为衰减因子。信号的包络为。 It should be further explained that in this embodiment, the reference signal may be a mixed exponential model signal, a double exponential model signal or a Gaussian model signal. Taking the mixed exponential model signal as an example, the signal expression is ,in, is the amplitude of the signal, m is a positive integer, the value range is 1~3, is the center frequency of the ultrasonic signal, is the initial phase, h is the attenuation factor. The envelope of the signal is .
(5) 波形替换。 (5) Waveform replacement.
图7是示出根据本发明的利用参考信号上对应“伪断点”位置的泰勒级数展开获得的波形替换超声接收信号断点前信号波形的实施过程。其具体实现过程如下: Fig. 7 shows the implementation process of replacing the signal waveform before the breakpoint of the ultrasonic received signal by using the waveform obtained by Taylor series expansion corresponding to the position of the "false breakpoint" on the reference signal according to the present invention. Its specific implementation process is as follows:
[701]—在参考信号“伪断点”处作泰勒级数展开并保留前三项; [701]—do Taylor series expansion at the reference signal "false breakpoint" and keep the first three terms;
[702]—利用泰勒级数展开获得的波形替换超声接收信号断点前信号波形; [702]—use the waveform obtained by Taylor series expansion to replace the signal waveform before the ultrasonic receiving signal breakpoint;
[703]—消除辐射干扰,获得去除声辐射干扰的超声信号。 [703]—eliminate radiation interference, and obtain an ultrasonic signal that removes acoustic radiation interference.
本发明所述步骤(2)中描述的提取超声接收信号峰值包络过程是指对预处理后的超声接收信号进行一阶差分运算以进行符号变化判定,从而提取出超声接收信号的峰值包络。 The process of extracting the peak envelope of the ultrasonic received signal described in step (2) of the present invention refers to performing a first-order difference operation on the preprocessed ultrasonic received signal to determine the sign change, thereby extracting the peak envelope of the ultrasonic received signal .
本发明所述步骤(3)中描述的确定断点的位置的过程是指对步骤(2)中获得的超声接收信号峰值包络进行二阶差商,并通过获取二阶差商最大值得到超声接收信号断点的位置。 The process of determining the position of the breakpoint described in the step (3) of the present invention refers to carrying out the second-order difference quotient to the peak envelope of the ultrasonic received signal obtained in the step (2), and obtaining the maximum value of the second-order difference quotient to obtain The position of the breakpoint of the ultrasonic received signal.
本发明所述步骤(4)基于“伪断点”作泰勒级数展开的过程,其中所述的参考信号可以是混合指数模型信号、双指数模型信号或者高斯模型信号。 The step (4) of the present invention is based on the process of Taylor series expansion based on "false breakpoints", wherein the reference signal can be a mixed exponential model signal, a double exponential model signal or a Gaussian model signal.
本发明6所述步骤(5)中的波形替换过程是指利用步骤(4)中泰勒级数展开获得的波形替换步骤(3)中所述断点之前的波形。
The waveform replacement process in step (5) of the
特别需要指出的是,本发明实施例中采用的泰勒级数展开方法是用多项式来简化参考信号的数学模型,在求某点处的函数值时,只需要进行有限次乘加运算,在很大程度上减小了运算量,保证了超声定位系统对实时性的要求。 In particular, it should be pointed out that the Taylor series expansion method used in the embodiment of the present invention uses polynomials to simplify the mathematical model of the reference signal. When calculating the function value at a certain point, only a limited number of multiplication and addition operations are required. It greatly reduces the amount of calculation and ensures the real-time requirements of the ultrasonic positioning system.
下面从仿真实验的结果说明本发明消除超声定位中声辐射干扰方法的效果。 The effect of the method for eliminating acoustic radiation interference in ultrasonic positioning according to the present invention will be described below from the results of simulation experiments.
在本发明的具体实施例中,设定的实验条件为:以超声定位的典型系统—超声电子白板系统为实验平台,分别在厚度为0.25mm、0.45mm以及0.65mm的铁质均匀板材上利用本发明提供的方法消除声辐射干扰实验。 In a specific embodiment of the present invention, the set experimental conditions are as follows: taking the typical system of ultrasonic positioning—ultrasonic electronic whiteboard system as the experimental platform, using The method provided by the invention eliminates the acoustic radiation interference experiment.
图8A-1、8A-2、8B-1、8B-2、8C-1、8C-2分别示出了在厚度为0.25mm、0.45mm以及0.65mm的铁质均匀板材上利用本发明方法恢复出超声信号的效果图。从图中可以看出,根据本发明提供的消除超声定位中的声辐射干扰的方法在有无声辐射干扰的条件下均能准确地恢复出适于定位的超声信号,适用性较强。 Fig. 8A-1, 8A-2, 8B-1, 8B-2, 8C-1, 8C-2 respectively show that the thickness is 0.25mm, 0.45mm and 0.65mm iron homogeneous plates are restored by the method of the present invention The rendering of the ultrasonic signal. It can be seen from the figure that the method for eliminating acoustic radiation interference in ultrasonic positioning provided by the present invention can accurately recover ultrasonic signals suitable for positioning under the condition of presence or absence of acoustic radiation interference, and has strong applicability.
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