CN114639932B - Microstrip differential band-pass filter - Google Patents
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Abstract
Description
技术领域technical field
本发明属于射频微波滤波器技术领域,具体涉及一种微带差分带通滤波器。The invention belongs to the technical field of radio frequency microwave filters, and in particular relates to a microstrip differential bandpass filter.
背景技术Background technique
滤波器是电子学中的基本器件,也是无线通信收发机中的关键部件之一,滤波器性能的好坏直接影响所处系统的性能优劣。滤波器的主要功能是使信号中特定的频率成分通过,而极大地衰减其他频率成分。利用滤波器的这种选频作用,可以滤除干扰噪声或进行频谱分析。当提到通信系统时,比起单端电路,差分电路总是能提供更加优良的性能。例如利用差分电路可以达到比利用单端电路更高的信号幅度。在相同电源电压下,差分信号可提供两倍于单端信号的幅度,以及更好的线性度和SNR(信噪比)性能。近年来,随着差分电路的研究,实现了对系统中有害信号的有效抑制。与单端电路相比,差分电路对系统中的环境噪声和电磁干扰具有本征的抑制作用。越来越多的微波器件都采用差分结构的方式来设计,如功率放大器、混频器和低噪声放大器等。其中差分滤波器扮演着举足轻重的角色,它不仅需要在所需的频段具有良好的差模响应和共模抑制,还应具有良好的频率选择性,尽可能在差模通带的两侧都出现传输零点,另外较宽和较好的带外抑制也是必须具备的特性。因此,差分滤波器受到了广泛的重视和研究。The filter is the basic device in electronics and one of the key components in the wireless communication transceiver. The performance of the filter directly affects the performance of the system in which it is located. The main function of the filter is to pass specific frequency components in the signal, while greatly attenuating other frequency components. Using this frequency selection function of the filter, interference noise can be filtered out or spectrum analysis can be performed. When it comes to communication systems, differential circuits always provide better performance than single-ended circuits. For example, higher signal amplitudes can be achieved with differential circuits than with single-ended circuits. Differential signals provide twice the amplitude of single-ended signals at the same supply voltage, as well as better linearity and SNR (signal-to-noise ratio) performance. In recent years, with the research of differential circuits, effective suppression of harmful signals in the system has been achieved. Compared with single-ended circuits, differential circuits have inherent suppression effects on environmental noise and electromagnetic interference in the system. More and more microwave devices are designed in a differential structure, such as power amplifiers, mixers, and low-noise amplifiers. Among them, the differential filter plays a pivotal role. It not only needs to have good differential mode response and common mode rejection in the required frequency band, but also has good frequency selectivity, appearing on both sides of the differential mode passband as much as possible. Transmission zero, and wider and better out-of-band rejection are also must-have features. Therefore, differential filters have received extensive attention and research.
电感耦合差分带通滤波器作为一种常见的差分滤波器,其电路结构如图1所示,包括第一电感L1、第二电感L2、第三电感L3、第四电感L4、第五电感L5、第六电感L6、第七电感L7、第一电容C1、第二电容C2和第三电容C3;其中,第一电感L1和第二电感L2串联连接于差分正线路上;第三电感L3和第四电感L4串联连接于差分负线路上;第五电感L5和第一电容C1构成并联于差分输入端的第一谐振电路;第六电感L6和第二电容C2构成第二谐振电路,两端分别连接于第一电感L1、第二电感L2之间和第三电感L3、第四电感L4之间;第七电感L7和第三电容C3构成并联于差分输出端的第三谐振电路。理想状态下上述参数应满足:L1=L2=L3=L4,L5=L6=L7,C1=C3。As a common differential filter, the inductively coupled differential bandpass filter has a circuit structure as shown in FIG. 1 , including a first inductor L 1 , a second inductor L 2 , a third inductor L 3 , a fourth inductor L 4 , the fifth inductor L 5 , the sixth inductor L 6 , the seventh inductor L 7 , the first capacitor C 1 , the second capacitor C 2 and the third capacitor C 3 ; wherein the first inductor L 1 and the second inductor L 2 are connected in series connected to the differential positive line; the third inductance L3 and the fourth inductance L4 are connected in series on the differential negative line; the fifth inductance L5 and the first capacitor C1 form a first resonant circuit connected in parallel to the differential input end; the sixth The inductor L 6 and the second capacitor C 2 form a second resonant circuit, and the two ends are respectively connected between the first inductor L 1 and the second inductor L 2 and between the third inductor L 3 and the fourth inductor L 4 ; The inductor L 7 and the third capacitor C 3 form a third resonant circuit connected in parallel with the differential output terminal. Ideally, the above parameters should satisfy: L 1 =L 2 =L 3 =L 4 , L 5 =L 6 =L 7 , C 1 =C 3 .
近些年来,微带差分滤波器的发展极为迅速。国内外学者研究并提出了多种基于微带的差分滤波器设计方法,有力推动了微波差分滤波器的发展。目前,微带差分滤波器结构主要有基于双面平行带线结构、基于耦合的微带阶梯阻抗线结构、基于十字型谐振器和基于微带-槽线结构。In recent years, the development of microstrip differential filters has been extremely rapid. Scholars at home and abroad have researched and proposed a variety of microstrip-based differential filter design methods, which have strongly promoted the development of microwave differential filters. At present, the microstrip differential filter structures mainly include a double-sided parallel stripline structure, a coupling-based microstrip stepped impedance line structure, a cross resonator-based and a microstrip-slotline-based structure.
对于由多个电感和电容构成的电感耦合差分带通滤波器,在PCB(印制电路板)板上采用微带线将其设计成微带差分带通滤波器,具有结构复杂,带宽较窄,以及不易调试等缺点,应用有限。For the inductively coupled differential bandpass filter composed of multiple inductors and capacitors, the microstrip line is used on the PCB (printed circuit board) board to design it as a microstrip differential bandpass filter, which has a complex structure and a narrow bandwidth. , as well as the shortcomings of not easy to debug, and the application is limited.
发明内容SUMMARY OF THE INVENTION
本发明针对上述背景技术中电感耦合差分带通滤波器存在的问题,提出了一种微带差分带通滤波器,相比于基于电感耦合差分带通滤波器的微带电路,具有结构简单、对称,易于实现的优势。Aiming at the problems existing in the inductively coupled differential bandpass filter in the above-mentioned background technology, the present invention proposes a microstrip differential bandpass filter. Compared with the microstrip circuit based on the inductively coupled differential bandpass filter, it has the advantages of simple structure, Symmetrical, easy-to-implement advantage.
为实现上述目的,本发明采用的技术方案如下:For achieving the above object, the technical scheme adopted in the present invention is as follows:
一种微带差分带通滤波器,其特征在于,包括依次设置的PCB板顶层、介质基板和PCB板底层,PCB板顶层和PCB板底层包括对应设置的两块地板和位于两块地板中间的微带结构,PCB板顶层和PCB板底层的微带结构以及位于之间的介质基板共同构成微带差分电路;A microstrip differential bandpass filter is characterized in that it comprises a top layer of a PCB board, a dielectric substrate and a bottom layer of the PCB board arranged in sequence, and the top layer of the PCB board and the bottom layer of the PCB board include two correspondingly arranged floors and a middle of the two floors. The microstrip structure, the microstrip structure on the top layer of the PCB board and the bottom layer of the PCB board and the dielectric substrate between them together form a microstrip differential circuit;
所述微带差分电路为对称结构,包括依次设置的第四电容C4、第一差分变压器、第五电容C5、第二差分变压器和第六电容C6;所述第一差分变压器和第二差分变压器由多个交替位于PCB板顶层和PCB板底层的微带线通过贯穿介质基板的金属化过孔依次串联而成;所述第四电容C4与差分输入端连接,第六电容C6与差分输出端连接。The microstrip differential circuit has a symmetrical structure, including a fourth capacitor C 4 , a first differential transformer, a fifth capacitor C 5 , a second differential transformer and a sixth capacitor C 6 arranged in sequence; the first differential transformer and the sixth Two differential transformers are formed by a plurality of microstrip lines alternately located on the top layer of the PCB board and the bottom layer of the PCB board in series through metallized vias penetrating the dielectric substrate; the fourth capacitor C 4 is connected to the differential input terminal, and the sixth capacitor C 6 is connected to the differential output terminal.
进一步地,所述第四电容C4和第六电容C6的电容值相等,等于对应电感耦合差分带通滤波器在理想状态下的第一电容C1和第三电容C3的电容值。Further, the capacitance values of the fourth capacitor C 4 and the sixth capacitor C 6 are equal, and are equal to the capacitance values of the first capacitor C 1 and the third capacitor C 3 corresponding to the inductively coupled differential bandpass filter in an ideal state.
进一步地,所述第一差分变压器和第二差分变压器的参数相同,自感La、Lb和互感M满足:Further, the parameters of the first differential transformer and the second differential transformer are the same, and the self-inductances L a , L b and the mutual inductance M satisfy:
其中,Z1、Z5和Z6分别为对应电感耦合差分带通滤波器在理想状态下的第一电感L1、第五电感L5和第六电感L6的阻抗;Wherein, Z 1 , Z 5 and Z 6 are the impedances of the first inductance L 1 , the fifth inductance L 5 and the sixth inductance L 6 in the ideal state corresponding to the inductively coupled differential bandpass filter respectively;
由于电感耦合差分带通滤波器在理想状态下满足:Z5=Z6,故Since the inductively coupled differential bandpass filter ideally satisfies: Z 5 =Z 6 , so
其中,ω为传输信号的角频率,j为虚数单位。Among them, ω is the angular frequency of the transmitted signal, and j is the imaginary unit.
进一步地,在第一差分变压器和第二差分变压器的自感La、Lb和互感M,以及第四电容C4和第六电容C6的电容值已经确定的情况下,通过仿真优化获得第五电容C5的电容值。Further, under the condition that the self-inductances La , Lb and mutual inductance M of the first differential transformer and the second differential transformer, as well as the capacitance values of the fourth capacitor C4 and the sixth capacitor C6 have been determined, it is obtained through simulation optimization. The capacitance value of the fifth capacitor C5 .
进一步地,所述第四电容C4、第一差分变压器与第二差分变压器、第六电容C6,关于第五电容C5对称。Further, the fourth capacitor C 4 , the first differential transformer and the second differential transformer and the sixth capacitor C 6 are symmetrical with respect to the fifth capacitor C 5 .
进一步地,所述第四电容C4、第五电容C5和第六电容C6均为平板电容,由位于PCB板顶层的微带线、介质基板和位于PCB板底层的微带线构成。Further, the fourth capacitor C 4 , the fifth capacitor C 5 and the sixth capacitor C 6 are all plate capacitors, which are composed of a microstrip line on the top layer of the PCB board, a dielectric substrate and a microstrip line on the bottom layer of the PCB board.
进一步地,PCB板顶层的两块地板均通过贯穿介质基板的金属化过孔,与PCB板底层的对应地板连接。Further, the two floors on the top layer of the PCB board are connected to the corresponding floors on the bottom layer of the PCB board through metallized vias penetrating through the dielectric substrate.
进一步地,通过控制微带线的线宽、微带线几何形状、金属化过孔的位置和尺寸,调节第一差分变压器和第二差分变压器的自感和互感。Further, the self-inductance and mutual inductance of the first differential transformer and the second differential transformer are adjusted by controlling the line width of the microstrip line, the geometric shape of the microstrip line, and the position and size of the metallized via.
本发明的有益效果为:The beneficial effects of the present invention are:
本发明提出了一种新型的微带差分带通滤波器,利用差分变压器,将电感耦合差分带通滤波器转换为结构更加简单、对称的差分带通滤波器。该结构适合在PCB板上通过微带线设计实现,具有结构简单对称,便于调试,滤波器频带可调范围大的优势。The invention proposes a new type of microstrip differential bandpass filter, which utilizes a differential transformer to convert the inductively coupled differential bandpass filter into a differential bandpass filter with a simpler and symmetrical structure. The structure is suitable to be realized by microstrip line design on the PCB board, and has the advantages of simple and symmetrical structure, easy debugging, and a large adjustable range of filter frequency band.
附图说明Description of drawings
图1为电感耦合差分带通滤波器的电路结构示意图;Figure 1 is a schematic diagram of the circuit structure of an inductively coupled differential bandpass filter;
图2为对比例中电感耦合差分带通滤波器的仿真图;Fig. 2 is the simulation diagram of the inductively coupled differential bandpass filter in the comparative example;
图3为本发明实施例提出的微带差分带通滤波器的电路结构示意图;3 is a schematic diagram of a circuit structure of a microstrip differential bandpass filter proposed in an embodiment of the present invention;
图4为本发明实施例提出的微带差分带通滤波器的仿真图;4 is a simulation diagram of a microstrip differential bandpass filter proposed in an embodiment of the present invention;
图5为本发明实施例中第四电容C4、第五电容C5和第六电容C6采用的平板电容示意图;5 is a schematic diagram of a plate capacitor adopted by the fourth capacitor C 4 , the fifth capacitor C 5 and the sixth capacitor C 6 in the embodiment of the present invention;
图6为本发明实施例中第一差分变压器和第二差分变压器的结构示意图;6 is a schematic structural diagram of a first differential transformer and a second differential transformer in an embodiment of the present invention;
图7为本发明实施例提出的微带差分带通滤波器的俯视透视结构图;7 is a top perspective structural view of a microstrip differential bandpass filter proposed by an embodiment of the present invention;
图8为本发明实施例提出的微带差分带通滤波器的仰视透视结构图。FIG. 8 is a bottom perspective structural diagram of a microstrip differential bandpass filter proposed in an embodiment of the present invention.
具体实施方式Detailed ways
为了使本发明的目的、技术方案和优点更加清楚,下面将结合附图对本发明进行详细地说明。显然,所描述的实施例仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其它实施例,都属于本发明保护的范围。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be described in detail below with reference to the accompanying drawings. Obviously, the described embodiments are only some, but not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
对比例Comparative ratio
本对比例提出了一种电感耦合差分带通滤波器,结构如图1所示,包括第一电感LL1、第二电感L2、第三电感L3、第四电感L4、第五电感L5、第六电感L6、第七电感L7、第一电容C1、第二电容C2和第三电容C3;其中,第一电感L1和第二电感L2串联连接于差分正线路上;第三电感L3和第四电感L4串联连接于差分负线路上;第五电感L5和第一电容C1构成并联于差分输入端的第一谐振电路;第六电感L6和第二电容C2构成第二谐振电路,两端分别连接于第一电感L1、第二电感L2之间和第三电感L3、第四电感L4之间;第七电感L7和第三电容C3构成并联于差分输出端的第三谐振电路。This comparative example proposes an inductively coupled differential bandpass filter. The structure is shown in FIG. 1 , including a first inductor LL 1 , a second inductor L 2 , a third inductor L 3 , a fourth inductor L 4 , and a fifth inductor L 5 , the sixth inductor L 6 , the seventh inductor L 7 , the first capacitor C 1 , the second capacitor C 2 and the third capacitor C 3 ; wherein the first inductor L 1 and the second inductor L 2 are connected in series to the differential On the positive line; the third inductance L3 and the fourth inductance L4 are connected in series on the differential negative line; the fifth inductance L5 and the first capacitor C1 form a first resonant circuit connected in parallel with the differential input terminal; the sixth inductance L6 and the second capacitor C 2 to form a second resonant circuit, the two ends are respectively connected between the first inductor L 1 and the second inductor L 2 and between the third inductor L 3 and the fourth inductor L 4 ; the seventh inductor L 7 and the third capacitor C3 form a third resonant circuit connected in parallel with the differential output terminal.
所述电感耦合差分带通滤波器在理想状态下各参数取值为:L1=L2=L3=L4=4.034nH,L5=L6=L7=4.216nH,C1=C3=1.525pF,C2=2.048pF。In the ideal state, the parameters of the inductively coupled differential bandpass filter are as follows: L 1 =L 2 =L 3 =L 4 =4.034nH, L 5 =L 6 =L 7 =4.216nH, C 1 =C 3 = 1.525 pF, C 2 = 2.048 pF.
将本对比例提出的电感耦合差分带通滤波器带入ADS(先进设计系统)软件进行仿真,仿真结果如图2所示,可知其通带范围约为1.8GHz~2.9GHz,带宽约为1.1GHz。The inductively coupled differential bandpass filter proposed in this comparative example is brought into the ADS (Advanced Design System) software for simulation. The simulation results are shown in Figure 2. It can be seen that its passband range is about 1.8GHz to 2.9GHz, and its bandwidth is about 1.1 GHz.
实施例Example
针对对比例提出的电感耦合差分带通滤波器,本实施例利用差分变压器改进的提出了一种微带差分带通滤波器,结构如图3所示,包括依次设置的PCB板顶层、介质基板和PCB板底层,PCB板顶层和PCB板底层包括对应设置的两块地板和位于两块地板中间的微带结构,两个微带结构和位于之间的介质基板共同构成微带差分电路。Aiming at the inductively coupled differential bandpass filter proposed in the comparative example, a microstrip differential bandpass filter is improved by using a differential transformer in this embodiment. And the bottom layer of the PCB board, the top layer of the PCB board and the bottom layer of the PCB board include two correspondingly arranged floors and a microstrip structure located in the middle of the two floors.
所述PCB板顶层和PCB板底层的地板为大块铜皮制成,PCB板顶层的两块地板均通过贯穿介质基板的金属化过孔,与PCB板底层的对应地板连接。The floors on the top layer of the PCB board and the bottom layer of the PCB board are made of large copper sheets, and the two floors on the top layer of the PCB board are connected to the corresponding floors on the bottom layer of the PCB board through metallized vias penetrating the dielectric substrate.
所述微带差分电路包括依次设置的第四电容C4、第一差分变压器、第五电容C5、第二差分变压器和第六电容C6,第四电容C4、第一差分变压器与第二差分变压器、第六电容C6,关于第五电容C5对称。差分信号从差分输入端输入,依次经第四电容C4、第一差分变压器、第五电容C5、第二差分变压器和第六电容C6后,从差分输出端输出。The microstrip differential circuit includes a fourth capacitor C 4 , a first differential transformer, a fifth capacitor C 5 , a second differential transformer and a sixth capacitor C 6 , and the fourth capacitor C 4 , the first differential transformer and the
所述第四电容C4、第五电容C5和第六电容C6均为平板电容,结构如图5所示,由位于PCB板顶层的微带线、介质基板和位于PCB板底层的微带线构成。其中,介质基板采用FR4材料,介电常数为9.6,介质厚度为0.508mm;本实施例中第四电容C4和第六电容C6的电容值相等,等于对比例中电感耦合差分带通滤波器的第一电容C1和第三电容C3的电容值1.525pF;平板电容的大小C由微带线的面积和形状决定,计算公式为:The fourth capacitor C 4 , the fifth capacitor C 5 and the sixth capacitor C 6 are all plate capacitors. The structure is shown in FIG. 5 . Constructed with lines. Among them, the dielectric substrate is made of FR4 material, the dielectric constant is 9.6, and the dielectric thickness is 0.508mm; in this embodiment, the capacitance values of the fourth capacitor C4 and the sixth capacitor C6 are equal, which are equal to the inductive coupling differential bandpass filter in the comparative example. The capacitance value of the first capacitor C 1 and the third capacitor C 3 of the device is 1.525pF; the size C of the plate capacitor is determined by the area and shape of the microstrip line, and the calculation formula is:
其中,d为平板间距,此处即为介质基板的厚度;ε0为真空介电常数,其值为8.85×1012(F/m);εr为相对介电常数,此处其值为9.6;当电容值为1.525pF时,微带线面积S为:Among them, d is the plate spacing, which is the thickness of the dielectric substrate here; ε 0 is the vacuum dielectric constant, and its value is 8.85×10 12 (F/m); ε r is the relative permittivity, where its value is 9.6; When the capacitance value is 1.525pF, the area S of the microstrip line is:
即边长约为3mm的正方形微带线可以等效为所需平板电容。以上的计算只针对理想电容的情况,实际中需对微带线的形状和尺寸进行调试。That is, a square microstrip line with a side length of about 3mm can be equivalent to the required plate capacitance. The above calculation is only for the case of ideal capacitance. In practice, the shape and size of the microstrip line need to be debugged.
如图6所示,所述第一差分变压器和第二差分变压器由多个交替位于PCB板顶层和PCB板底层的微带线通过贯穿介质基板的金属化过孔依次串联而成。图7为微带差分带通滤波器的俯视透视结构图,即从PCB板顶层看向PCB板底层的结构图;图8为微带差分带通滤波器的仰视透视结构图,即从PCB板底层看向PCB板顶层的结构图。As shown in FIG. 6 , the first differential transformer and the second differential transformer are formed of a plurality of microstrip lines alternately located on the top layer of the PCB board and the bottom layer of the PCB board in series through metallized vias penetrating the dielectric substrate. Fig. 7 is the top perspective structure diagram of the microstrip differential bandpass filter, that is, the structure view from the top layer of the PCB board to the bottom layer of the PCB board; Fig. 8 is the bottom perspective structure diagram of the microstrip differential bandpass filter, that is, from the PCB board The bottom layer looks at the structure diagram of the top layer of the PCB board.
由于采用金属化过孔,使得可以在PCB板顶层和PCB板底层之间来回走线,从而在PCB板顶层和PCB板底层的微带线之间完成第一差分变压器和第二差分变压器的设计,并通过控制PCB板顶层和PCB板底层的微带线的线宽、走线的几何形状和金属化过孔的位置和尺寸,调节第一差分变压器和第二差分变压器的自感La、Lb和互感M。Due to the use of metallized vias, it is possible to route back and forth between the top layer of the PCB board and the bottom layer of the PCB board, so as to complete the design of the first differential transformer and the second differential transformer between the microstrip lines on the top layer of the PCB board and the bottom layer of the PCB board , and adjust the self-inductance L a of the first differential transformer and the second differential transformer by controlling the line width of the microstrip line on the top layer of the PCB board and the bottom layer of the PCB board, the geometry of the trace and the position and size of the metallized via. L b and mutual inductance M.
本实施例中所述第一差分变压器和第二差分变压器的参数相同,自感La、Lb和互感M满足:In this embodiment, the parameters of the first differential transformer and the second differential transformer are the same, and the self-inductances L a , L b and the mutual inductance M satisfy:
其中,Z1、Z5和Z6分别为对应电感耦合差分带通滤波器在理想状态下的第一电感L1、第五电感L5和第六电感L6的阻抗;Wherein, Z 1 , Z 5 and Z 6 are the impedances of the first inductance L 1 , the fifth inductance L 5 and the sixth inductance L 6 in the ideal state corresponding to the inductively coupled differential bandpass filter respectively;
由于对比例中电感耦合差分带通滤波器在理想状态下满足:L5=L6=4.216nH,故本实施例中所述第一差分变压器和第二差分变压器的在理想状态下满足:Since the inductively coupled differential bandpass filter in the comparative example satisfies in an ideal state: L 5 =L 6 =4.216nH, the ideal conditions of the first differential transformer and the second differential transformer in this embodiment satisfy:
其中,ω为传输信号的角频率,j为虚数单位。Among them, ω is the angular frequency of the transmitted signal, and j is the imaginary unit.
在第一差分变压器和第二差分变压器的自感La、Lb和互感M,以及第四电容C4和第六电容C6的电容值已经确定的情况下,将第五电容C5作为可调变量,通过仿真优化进行微带差分带通滤波器的调试。当第五电容C5的电容值为2.7902pF时,仿真结果如图4所示,可知其通带范围约为1.875GHz~3.575GHz,带宽约为1.7GHz,与对比例中电感耦合差分带通滤波器的仿真结构相比,带宽有一定增加,同时结构简单对称,便于调试。Under the condition that the self-inductances La , Lb and mutual inductance M of the first differential transformer and the second differential transformer, as well as the capacitance values of the fourth capacitor C4 and the sixth capacitor C6 have been determined, the fifth capacitor C5 is used as Adjustable variable, debugging of microstrip differential bandpass filter through simulation optimization. When the capacitance value of the fifth capacitor C5 is 2.7902pF, the simulation results are shown in Figure 4. It can be seen that its passband range is about 1.875GHz to 3.575GHz, and the bandwidth is about 1.7GHz, which is similar to the inductive coupling differential bandpass in the comparative example. Compared with the simulation structure of the filter, the bandwidth has a certain increase, and the structure is simple and symmetrical, which is convenient for debugging.
本领域的普通技术人员将会意识到,这里所述的实施例是为了帮助读者理解本发明的原理,应被理解为本发明的保护范围并不局限于这样的特别陈述和实施例。对于本领域的技术人员来说,本发明可以有各种更改和变化。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的权利要求范围之内。Those of ordinary skill in the art will appreciate that the embodiments described herein are intended to assist readers in understanding the principles of the present invention, and it should be understood that the scope of protection of the present invention is not limited to such specific statements and embodiments. Various modifications and variations of the present invention are possible for those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included within the scope of the claims of the present invention.
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