CN108023562A - Areflexia lattice filter - Google Patents
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Abstract
本发明公开了一种无反射桥式滤波器,包括四个独立单端口电路子网络、输入端口、输出端口,其中每个单端口电路子网络均具有两个端点;所述四个单端口电路子网络依次通过各自的端点顺序连接呈环形,以及所述输入端口的一个端点连接于第一和第二单端口电路子网络的公共端点,且输入端口的另一端点连接于第三和第四单端口电路子网络的公共端点;所述输出端口的一个端点连接于第二和第三单端口电路子网络的公共端点,且输出端口的另一个端点连接于第一和第四单端口电路子网络的公共端点,以构成桥式滤波器电路。本发明能够灵活实现各类滤波响应,实现无反射的高性能滤波响应,该结构适用于各种频段的滤波器设计,具有结构简单,性能优异等优点。
The invention discloses a reflectionless bridge filter, which comprises four independent single-port circuit sub-networks, input ports and output ports, wherein each single-port circuit sub-network has two endpoints; the four single-port circuit sub-networks The subnetworks are sequentially connected in a ring through their respective endpoints, and one endpoint of the input port is connected to the common endpoint of the first and second single-port circuit subnetworks, and the other endpoint of the input port is connected to the third and fourth A common endpoint of the single-port circuit sub-network; one endpoint of the output port is connected to the common endpoint of the second and third single-port circuit sub-network, and the other endpoint of the output port is connected to the first and fourth single-port circuit sub-network The common endpoint of the network to form a bridge filter circuit. The invention can flexibly realize various filter responses and high-performance filter responses without reflection. The structure is suitable for filter design in various frequency bands and has the advantages of simple structure and excellent performance.
Description
技术领域technical field
本发明涉及一种无反射桥式滤波器,属于电子电路的技术领域。The invention relates to a reflectionless bridge filter, which belongs to the technical field of electronic circuits.
背景技术Background technique
滤波器是一种电子器件,广泛应用于各种电子系统中。此类器件一般有两个端口,允许位于通频带内的电信号无损或低损通过,而禁止阻频带内的电信号在两个端口之间进行传输。A filter is an electronic device that is widely used in various electronic systems. Such devices generally have two ports that allow electrical signals in the passband to pass through without loss or with low loss, while prohibiting electrical signals in the stopband from being transmitted between the two ports.
大多数滤波器为反射式的。在此类滤波器中,根据能量守恒定律,输入端的输入电信号如位于通带内,则传输至输出端;当位于阻带内,则全反射至输入端,此时输出端无信号输出。如被反射的信号功率较大,返回至输入端之后,会对之后的电路造成不确定的影响,尤其会破坏有源电路的稳定性。此外,因为级间的反射会造成滤波器响应的恶化,反射式滤波器的缺点还包括不能通过直接级联增强滤波器的响应。Most filters are reflective. In this type of filter, according to the law of energy conservation, if the input electrical signal at the input terminal is within the passband, it will be transmitted to the output terminal; if it is within the stop band, it will be totally reflected to the input terminal, and there will be no signal output at the output terminal at this time. If the power of the reflected signal is large, it will have an uncertain impact on the subsequent circuits after returning to the input terminal, especially the stability of the active circuit will be destroyed. In addition, because the reflection between the stages will cause the deterioration of the filter response, the disadvantage of the reflective filter also includes that the response of the filter cannot be enhanced by direct cascading.
无反射滤波器,顾名思义,无论在通带或是阻带,其输入端均无反射信号或很小,且不影响通带内的传输响应。传统的无反射滤波器依赖于一些特殊的网络拓扑结构,受限于此,其滤波响应的种类非常有限,不能满足实际使用的需要。另外,也可通过隔离器加滤波器的组合实现无反射滤波器,但此时的滤波器是定向的,且增加了插入损耗。如同传统的反射式滤波器一样,如何实现具有定制响应的无反射滤波器,具有极大的社会需求,也是一个业界公认的技术难题。No reflection filter, as the name implies, no matter in the passband or stopband, there is no reflection signal or very small at the input end, and it does not affect the transmission response in the passband. The traditional reflectionless filter relies on some special network topology, limited by this, the types of filter response are very limited, which cannot meet the needs of practical use. In addition, a reflectionless filter can also be realized through the combination of an isolator and a filter, but the filter at this time is directional and increases the insertion loss. Like traditional reflective filters, how to realize a non-reflective filter with customized response has great social demand and is also a recognized technical problem in the industry.
发明内容Contents of the invention
本发明所要解决的技术问题在于克服现有技术的不足,提供一种无反射桥式滤波器,实现具有可定制响应的无反射滤波器,以解决现有的无反射滤波器响应单一,设计繁琐等问题。The technical problem to be solved by the present invention is to overcome the deficiencies of the prior art, provide a non-reflection bridge filter, and realize a non-reflection filter with a customizable response, so as to solve the problem of single response and cumbersome design of the existing non-reflection filter And other issues.
本发明具体采用以下技术方案解决上述技术问题:The present invention specifically adopts the following technical solutions to solve the above technical problems:
无反射桥式滤波器,包括独立的第一至第四单端口电路子网络、输入端口、输出端口,其中每个单端口电路子网络均具有两个端点;所述四个单端口电路子网络依次通过各自的端点顺序连接呈环形,以及所述输入端口的一个端点连接于第一和第二单端口电路子网络的公共端点,且输入端口的另一端点连接于第三和第四单端口电路子网络的公共端点;所述输出端口的一个端点连接于第二和第三单端口电路子网络的公共端点,且输出端口的另一个端点连接于第一和第四单端口电路子网络的公共端点,以构成桥式滤波器电路。A reflectionless bridge filter comprising independent first to fourth one-port circuit subnetworks, input ports, output ports, wherein each one-port circuit subnetwork has two endpoints; said four one-port circuit subnetworks are sequentially connected in a ring through respective endpoints, and one endpoint of the input port is connected to the common endpoint of the first and second single-port circuit sub-networks, and the other endpoint of the input port is connected to the third and fourth single-port A common endpoint of the circuit subnetwork; one endpoint of the output port is connected to the common endpoint of the second and third single-port circuit subnetworks, and the other endpoint of the output port is connected to the first and fourth single-port circuit subnetwork common terminal to form a bridge filter circuit.
进一步地,作为本发明的一种优选技术方案:所述每个单端口电路子网络至少含有一个无耗器件以及至少一个有耗器件。Further, as a preferred technical solution of the present invention: each single-port circuit sub-network includes at least one lossless device and at least one lossy device.
进一步地,作为本发明的一种优选技术方案:所述输入端口和输出端口的参考阻抗相同且为纯阻。Further, as a preferred technical solution of the present invention: the reference impedances of the input port and the output port are the same and pure resistance.
进一步地,作为本发明的一种优选技术方案:所述四个单端口电路子网络中不相邻的两个单端口电路子网络的网络拓扑与相对应元件值相同。Further, as a preferred technical solution of the present invention: among the four single-port circuit sub-networks, the network topology of two non-adjacent single-port circuit sub-networks is the same as the value of the corresponding element.
进一步地,作为本发明的一种优选技术方案:所述四个单端口电路子网络中不相邻的两个单端口电路子的网络拓扑不同,且在各个频率上的输入阻抗相同。Further, as a preferred technical solution of the present invention: among the four single-port circuit sub-networks, two non-adjacent single-port circuit sub-networks have different network topologies, and have the same input impedance at each frequency.
进一步地,作为本发明的一种优选技术方案:所述无耗器件选自于由下述构成的集合:电感器、电容器、谐振器、变容二极管、传输线元件、等效的分布式器件、不连续性、引线的寄生效应、单端口等效无耗器件及其组合。Further, as a preferred technical solution of the present invention: the lossless device is selected from the group consisting of inductors, capacitors, resonators, varactor diodes, transmission line elements, equivalent distributed devices, Discontinuities, lead parasitics, one-port equivalent lossless devices, and combinations thereof.
进一步地,作为本发明的一种优选技术方案:所述有耗元件选自由下述构成的集合:电阻器、变阻器、单端口无反射网络、单端口吸收式网络、单端口匹配负载、外部电路匹配后的输入端口、匹配后的天线及上述电路的组合。Further, as a preferred technical solution of the present invention: the lossy element is selected from the group consisting of: resistors, varistors, single-port non-reflection networks, single-port absorbing networks, single-port matching loads, external circuits A matched input port, a matched antenna and a combination of the above circuits.
进一步地,作为本发明的一种优选技术方案:所述桥式滤波器的滤波响应包括一阶滤波器、二阶滤波器和高阶滤波器。Further, as a preferred technical solution of the present invention: the filtering response of the bridge filter includes a first-order filter, a second-order filter and a higher-order filter.
进一步地,作为本发明的一种优选技术方案:所述桥式滤波器的滤波响应包括低通、带通、高通、带阻、多带通、多带阻及其组合。Further, as a preferred technical solution of the present invention: the filtering response of the bridge filter includes low-pass, band-pass, high-pass, band-stop, multi-band-pass, multi-band-stop and combinations thereof.
进一步地,作为本发明的一种优选技术方案:所述桥式滤波器用于对具有相同端口阻抗的桥式滤波器进行级联,以改变滤波响应。Further, as a preferred technical solution of the present invention: the bridge filter is used to cascade bridge filters with the same port impedance to change the filter response.
本发明采用上述技术方案,能产生如下技术效果:The present invention adopts above-mentioned technical scheme, can produce following technical effect:
本发明通过合理设置各个单端口电路子网络的输入阻抗值,能得到一类新的无反射式滤波器,能够灵活实现各类滤波响应,如巴特沃兹型、切比雪夫型以及椭圆函数型等,适用于低通、带通、高通、带阻、多带通和多带阻等各种滤波场合,该结构适用于各种频段的滤波器设计,具有结构简单,性能优异等优点。The present invention can obtain a new type of non-reflection filter by reasonably setting the input impedance value of each single-port circuit sub-network, and can flexibly realize various filter responses, such as Butterworth type, Chebyshev type and elliptic function type Etc., suitable for low-pass, band-pass, high-pass, band-stop, multi-band-pass and multi-band-stop and other filtering occasions. This structure is suitable for filter design in various frequency bands. It has the advantages of simple structure and excellent performance.
本发明的无反射桥式滤波器具有在全频带内反射系数为零的特点,在实际使用时,无需考虑滤波器单元对整体电路由于反射而造成的不良影响,也可以方便的级联以进一步改善滤波器的工作性能。与已有的无反射滤波器不同,本发明中提出的无反射滤波器具有响应可任意定制的优点。在理论上,所有能够物理实现的电路响应均可利用本发明中的桥式结构及子网络配置方法实现无反射化。此外,能够充分利用现有的单端口电路网络综合设计法和传统二端口反射式滤波器的设计数据,实现无反射滤波器的快速设计和制作。The non-reflection bridge filter of the present invention has the characteristics that the reflection coefficient is zero in the whole frequency band. In actual use, there is no need to consider the adverse effect of the filter unit on the overall circuit due to reflection, and it can also be conveniently cascaded to further Improve filter performance. Different from the existing non-reflection filter, the non-reflection filter proposed in the present invention has the advantage that the response can be customized arbitrarily. In theory, all circuit responses that can be physically realized can be realized without reflection by using the bridge structure and subnetwork configuration method in the present invention. In addition, the existing one-port circuit network comprehensive design method and the design data of the traditional two-port reflective filter can be fully utilized to realize the rapid design and manufacture of the non-reflective filter.
附图说明Description of drawings
图1为本发明无反射桥式滤波器的电路模块图。FIG. 1 is a circuit block diagram of a reflection-free bridge filter of the present invention.
图2为本发明中单端口电路子网络采用二端口滤波器网络的结构图。FIG. 2 is a structural diagram of a two-port filter network used in the single-port circuit sub-network of the present invention.
图3(a)和图3(b)分别为本发明实施例一中单端口电路子网络分别采用互相对偶的利用理想LC电路的结构示意图。图3(c)为本发明实施例一采用互相对偶的无反射滤波器结构示意图。FIG. 3( a ) and FIG. 3( b ) are schematic structural diagrams of the single-port circuit sub-networks respectively adopting dual dual ideal LC circuits in Embodiment 1 of the present invention. FIG. 3( c ) is a schematic structural diagram of a reflectionless filter using mutual duality according to Embodiment 1 of the present invention.
图4为本发明利用理想LC电路实现的一个无反射滤波器的仿真响应曲线。FIG. 4 is a simulated response curve of a reflectionless filter realized by an ideal LC circuit in the present invention.
图5(a)和图5(b)分别为本发明实施例二采用对偶的传输线子网络的结构示意图;图5(c)和图5(d)分别为本发明实施例二中具有并联枝节线的传输线网络结构示意图;图5(e)为本发明实施例二利用传输线实现的无反射滤波器结构示意图。Fig. 5(a) and Fig. 5(b) are respectively the structural schematic diagrams of the dual transmission line sub-network in the second embodiment of the present invention; Fig. 5(c) and Fig. 5(d) are the parallel branches in the second embodiment of the present invention A schematic diagram of the transmission line network structure of the line; FIG. 5( e ) is a schematic structural diagram of a reflectionless filter implemented by a transmission line according to Embodiment 2 of the present invention.
图6为本发明利用传输线实现的一个无反射滤波器的响应曲线。Fig. 6 is a response curve of a reflectionless filter realized by using a transmission line according to the present invention.
具体实施方式Detailed ways
下面结合说明书附图对本发明的实施方式进行描述。Embodiments of the present invention will be described below in conjunction with the accompanying drawings.
如图1所示,本发明设计了无反射桥式滤波器,包括第一至第四的四个独立单端口电路子网络、输入端口5、输出端口6,其中第一单端口电路子网络1、第二单端口电路子网络2、第三单端口电路子网络3、第四单端口电路子网络4均具有两个端点;所述四个单端口电路子网络依次通过各自的端点顺序连接呈环形,以及所述输入端口5的一个端点连接于第一单端口电路子网络1和第二单端口电路子网络2的公共端点,且输入端口的另一端点连接于第三单端口电路子网络3和第四单端口电路子网络4的公共端点;所述输出端口6的一个端点连接于第二单端口电路子网络2和第三单端口电路子网络3的公共端点,且输出端口6的另一个端点连接于第一单端口电路子网络1和第四单端口电路子网络4的公共端点,依据上述连接方式,以构成桥式滤波器电路。As shown in Figure 1, the present invention has designed a reflectionless bridge filter, including four independent single-port circuit sub-networks, input port 5, and output port 6 of the first to fourth, wherein the first single-port circuit sub-network 1 , the second single-port circuit subnetwork 2, the third single-port circuit subnetwork 3, and the fourth single-port circuit subnetwork 4 all have two endpoints; the four single-port circuit subnetworks are sequentially connected through their respective endpoints to form ring, and one endpoint of the input port 5 is connected to the common endpoint of the first single-port circuit subnetwork 1 and the second single-port circuit subnetwork 2, and the other endpoint of the input port is connected to the third single-port circuit subnetwork 3 and the public endpoint of the fourth single-port circuit subnetwork 4; one endpoint of the output port 6 is connected to the public endpoint of the second single-port circuit subnetwork 2 and the third single-port circuit subnetwork 3, and the output port 6 The other terminal is connected to the common terminal of the first one-port circuit sub-network 1 and the fourth one-port circuit sub-network 4, and the bridge filter circuit is formed according to the above connection method.
其中,所述输入端口5与输出端口6的参考阻抗相同,且均为纯阻,记为R0;四个单端口电路子网络1、2、3和4的输入阻抗依次记分别为:Z1、Z2、Z3和Z4。为实现滤波功能,单端口电路子网络1、2、3和4中,均至少含有一个无耗器件以及至少一个有耗器件。因此,Z1、Z2、Z3和Z4均为实部总大于零的复数,且均为频率的函数。通过合理设置各子网络的网络拓扑及元件值,使得:Wherein, the reference impedances of the input port 5 and the output port 6 are the same, and both are pure resistances, denoted as R 0 ; the input impedances of the four single-port circuit sub-networks 1, 2, 3 and 4 are sequentially denoted as: Z 1 , Z 2 , Z 3 and Z 4 . In order to realize the filtering function, each of the single-port circuit sub-networks 1, 2, 3 and 4 contains at least one lossless device and at least one lossy device. Therefore, Z 1 , Z 2 , Z 3 and Z 4 are complex numbers whose real part is always greater than zero, and are functions of frequency. By reasonably setting the network topology and component values of each sub-network, it is possible to:
在理想情况下,在任意频率f上:Ideally, at any frequency f:
在一般情况下,则只需在所需要的工作频率内,包括通带和阻带:In general, it only needs to be within the required operating frequency, including passband and stopband:
即可实现无反射滤波器的设计。此时,在输出端口6接入阻值为R0的负载且激励端5的内阻也为R0时,该滤波器反射系数的模值|S11|为零或接近零,即实现了无反射的设计。而传输系数S21在数值上与第二单端口电路子网络2或第四单端口电路子网络4对阻值为R0的负载的反射系数Γ2相等或大致相等,即:The design of reflectionless filter can be realized. At this time, when the output port 6 is connected to a load with a resistance value of R 0 and the internal resistance of the excitation terminal 5 is also R 0 , the modulus |S 11 | of the filter reflection coefficient is zero or close to zero, that is, the Non-reflective design. And the transmission coefficient S 21 is numerically equal or approximately equal to the reflection coefficient Γ 2 of the load of the second one-port circuit subnetwork 2 or the fourth one-port circuit subnetwork 4 to the resistance value R 0 , that is:
据以上限制,在端口参考阻抗确定的前提下,该滤波器的传输响应完全由第二单端口电路子网络2的输入阻抗Z2决定。Z2是频率的函数,其特性由该第二单端口电路子网络2的网络拓扑结构和元件取值决定。根据电路网络综合理论可知,通过对目标响应函数进行综合设计,能够得出第二单端口电路子网络2的拓扑结构和元件取值,只要待综合的函数满足物理可实现电路网络的性质即可,具体综合设计方法此处不作深入讨论。当第二单端口电路子网络2单独的反射系数为某种滤波响应时,则整体网络的传输响应也为相同的滤波响应,同时整体网络反射系数为零。According to the above restrictions, under the premise that the port reference impedance is determined, the transmission response of the filter is completely determined by the input impedance Z 2 of the second single-port circuit sub-network 2 . Z 2 is a function of frequency, and its characteristics are determined by the network topology and component values of the second single-port circuit sub-network 2 . According to the circuit network synthesis theory, the topology structure and component values of the second single-port circuit sub-network 2 can be obtained through the comprehensive design of the target response function, as long as the function to be synthesized satisfies the properties of a physically achievable circuit network , the specific comprehensive design method will not be discussed in depth here. When the independent reflection coefficient of the second single-port circuit sub-network 2 is a certain filter response, the transmission response of the overall network is also the same filter response, and the reflection coefficient of the overall network is zero.
为满足Z1和Z3在所有频率完全或大致上相等,可以将该不相邻的两个单端口电路子网络所采用的网络拓扑与相对应元件值相同。可采用如下技术手段:第一单端口电路子网络1和第三单端口电路子网络3采用完全相同的网络拓扑且对应元件的种类、类型、取值、实现方式和选型完全相同。或是不相邻的两个单端口电路子的网络拓扑不同,且在各个频率上的输入阻抗相同,可采用如下技术手段:第一单端口电路子网络1和第三单端口电路子网络3的采用不同的网络拓扑,通过网络等效之后,能够做到在各个频率上,第一单端口电路子网络1和第三单端口电路子网络3的输入阻抗完全相同。考虑到具体实现时元件的各体差异以及各种不确定性,第一单端口电路子网络1和第三单端口电路子网络3的输入阻抗做到大致相同亦可,此时滤波器的反射系数接近零。In order to satisfy that Z 1 and Z 3 are completely or substantially equal at all frequencies, the network topology adopted by the two non-adjacent single-port circuit sub-networks may be the same as the value of the corresponding component. The following technical means can be adopted: the first single-port circuit sub-network 1 and the third single-port circuit sub-network 3 adopt exactly the same network topology and the types, types, values, implementation methods and selections of corresponding components are exactly the same. Or the network topology of two non-adjacent one-port circuit subnetworks is different, and the input impedance at each frequency is the same, the following technical means can be adopted: the first single-port circuit subnetwork 1 and the third single-port circuit subnetwork 3 Different network topologies are adopted, and after network equivalence, the input impedances of the first single-port circuit sub-network 1 and the third single-port circuit sub-network 3 can be completely the same at each frequency. Considering the individual differences and various uncertainties of the components in the specific implementation, the input impedances of the first single-port circuit sub-network 1 and the third single-port circuit sub-network 3 can be roughly the same, and the reflection of the filter at this time The coefficient is close to zero.
为满足Z2和Z4在所有频率完全或大致上相等,可以将该不相邻的两个单端口电路子网络所采用的网络拓扑与相对应元件值相同。可采用如下技术手段:第二单端口电路子网络2和第四单端口电路子网络4采用完全相同的网络拓扑且对应元件的种类、类型、取值、实现方式和选型完全相同;或是不相邻的两个单端口电路子的网络拓扑不同,且在各个频率上的输入阻抗相同,可采用如下技术手段:第二单端口电路子网络2和第四单端口电路子网络4采用不完全相同的网络拓扑,通过网络等效之后,能够做到在各个频率上,第二单端口电路子网络2和第四单端口电路子网络4的输入阻抗完全相同。考虑到具体实现时元件的各体差异以及各种不确定性,第二单端口电路子网络2和第四单端口电路子网络4的输入阻抗做到大致相同亦可,此时滤波器的反射系数接近零。In order to satisfy that Z 2 and Z 4 are completely or substantially equal at all frequencies, the network topology adopted by the two non-adjacent single-port circuit sub-networks may be the same as the value of the corresponding component. The following technical means can be adopted: the second single-port circuit sub-network 2 and the fourth single-port circuit sub-network 4 adopt exactly the same network topology and the types, types, values, implementation methods and selections of corresponding components are completely the same; or The network topology of two non-adjacent single-port circuit sub-networks is different, and the input impedance at each frequency is the same, the following technical means can be adopted: the second single-port circuit sub-network 2 and the fourth single-port circuit sub-network 4 adopt different For the same network topology, after network equivalence, the input impedances of the second single-port circuit sub-network 2 and the fourth single-port circuit sub-network 4 can be completely the same at each frequency. Considering the individual differences and various uncertainties of the components during the specific implementation, the input impedances of the second single-port circuit sub-network 2 and the fourth single-port circuit sub-network 4 can be roughly the same, and the reflection of the filter at this time The coefficient is close to zero.
为满足Z1和Z2在所有频率的乘积与R0的平方完全相或大致等,可采用如下技术手段:In order to satisfy the product of Z 1 and Z 2 at all frequencies and the square of R 0 is completely equal or roughly equal, the following technical means can be used:
第一单端口电路子网络1和第二单端口电路子网络2的采用对偶的网络拓扑,例如:串联并联互换;同时对应元件的种类互换:即电感电容互换,电阻电导互换;同时元件值对R0归一化后互为倒数。The first single-port circuit sub-network 1 and the second single-port circuit sub-network 2 adopt a dual network topology, for example: series and parallel interchange; at the same time, the types of corresponding components are interchanged: that is, the inductance and capacitance are interchanged, and the resistance and conductance are interchanged; At the same time, the component values are reciprocals of each other after normalization to R 0 .
第一单端口电路子网络1和第二单端口电路子网络2的采用不对偶的网络拓扑,通过网络等效之后,能够做到在各个频率上,第一单端口电路子网络1和第二单端口电路子网络2的输入阻抗的乘积与R0的平方相等。The first single-port circuit sub-network 1 and the second single-port circuit sub-network 2 adopt a non-dual network topology. After the network is equivalent, it can be achieved that at each frequency, the first single-port circuit sub-network 1 and the second The product of the input impedances of the one-port circuit subnetwork 2 is equal to the square of R 0 .
在无反射桥式滤波器的实现过程中,其中的无耗元件选自于由以下器件构成的集合:电感器、电容器、谐振器、变容二极管、传输线元件、单端口等效无耗器件及其组合;其中的有耗元件选自由以下器件构成的集合:电阻器、变阻器、单端口无反射网络、单端口吸收式网络、单端口匹配负载、外部电路匹配后的输入端口、匹配后的天线及上述电路的组合。各元件可以是定值的,也可以是可调谐式的,以方便对滤波器的后期调试或改变工作模式。此处的器件组合指多个不同的器件通过并联、串联以及级联等方式形成一个新的等效器件。In the implementation of a reflectionless bridge filter, the lossless elements are selected from the group consisting of: inductors, capacitors, resonators, varactors, transmission line elements, one-port equivalent lossless devices, and A combination thereof; wherein the lossy element is selected from the set consisting of: resistors, varistors, one-port nonreflective networks, one-port snubbing networks, one-port matched loads, matched input ports of external circuits, matched antennas and combinations of the above circuits. Each component can be fixed value or adjustable, so as to facilitate the later debugging of the filter or change the working mode. The device combination here refers to the formation of a new equivalent device by connecting multiple different devices in parallel, series and cascade.
据以上描述,无反射桥式滤波器的传输响应完全由第二单端口电路子网络2或第四单端口电路子网络4的反射响应决定。因此,特别的,当第二单端口电路子网络2的实现方式为一个端接负载的传统二端口纯电抗滤波网络7时,如图2所示,此二端口滤波网络7的响应与合成的无反射桥式滤波器的传输响应具有一一对应的关系,这是一种本发明中涉及的无反射滤波器的简化设计方法。具体为,当二端口滤波网络7的传输响应分别为低通、带通、高通、带阻、多带通及多带阻时,在端接匹配负载后,根据能量守恒定律,则其另一端的反射系数响分别为高通、带阻、低通、带通、多带阻及多带通。此时,若采用此端接负载的二端口滤波网络7作为第二单端口电路子网络2或第四单端口电路子网络4,相应的,第一单端口电路子网络1或第三单端口电路子网络3取二端口滤波网络7的对偶网络,则此无反射桥式滤波器的传输响应也分别为高通、带阻、低通、带通、多带阻及多带通。基于上述考虑,无反射桥式滤波的设计可以借鉴参考已有的、成熟的反射式二端口滤波器设计。更普遍的情况下,第二单端口电路子网络2的设计可以不受已有反射式二端口滤波器设计的限制,更加灵活自由,因此,无反射桥式滤波器比传统反射式二端口滤波器的传输响应更为丰富,设计更加灵活。According to the above description, the transmission response of the reflectionless bridge filter is completely determined by the reflection response of the second single-port circuit sub-network 2 or the fourth single-port circuit sub-network 4 . Therefore, in particular, when the second single-port circuit sub-network 2 is implemented as a traditional two-port pure reactive filter network 7 connected to a load, as shown in FIG. 2, the response of the two-port filter network 7 is the same as the synthesized The transmission responses of the reflectionless bridge filter have a one-to-one correspondence, which is a simplified design method for the reflectionless filter involved in the present invention. Specifically, when the transmission responses of the two-port filter network 7 are low-pass, band-pass, high-pass, band-stop, multi-band-pass, and multi-band-stop respectively, after the matching load is connected at the end, according to the law of energy conservation, the other end The reflection coefficients are high-pass, band-stop, low-pass, band-pass, multi-band-stop and multi-band-pass respectively. At this time, if the two-port filter network 7 connected to the load is used as the second single-port circuit sub-network 2 or the fourth single-port circuit sub-network 4, correspondingly, the first single-port circuit sub-network 1 or the third single-port circuit sub-network The circuit sub-network 3 is the dual network of the two-port filter network 7, and the transmission responses of the reflectionless bridge filter are also high-pass, band-stop, low-pass, band-pass, multi-band-stop and multi-band-pass respectively. Based on the above considerations, the design of the non-reflection bridge filter can refer to the existing and mature reflective two-port filter design. More generally, the design of the second single-port circuit sub-network 2 can be free from the limitations of the existing reflective two-port filter design, and is more flexible and free. Therefore, the reflection-free bridge filter is more flexible than the traditional reflective two-port filter The transmission response of the device is richer and the design is more flexible.
优选地,无反射桥式滤波器的整体滤波响应可以是一阶、二阶和高阶的滤波器,此处的阶数指单端口电路子网络的阶数中的最小值。Preferably, the overall filter response of the reflection-free bridge filter can be a first-order, second-order and higher-order filter, where the order refers to the minimum value among the orders of the single-port circuit sub-network.
具有完全相同响应的无反射桥式滤波器之间可以相互并联或串联,进行功率扩容,在相应的更改端口的负载阻值之后,并不影响无反射的性质,且滤波响应和原来相同。例如,两个参考50Ohm阻抗的同种滤波器并联之后,参考阻抗变为25Ohm,滤波响应不变。The non-reflection bridge filters with exactly the same response can be connected in parallel or in series for power expansion. After changing the load resistance of the port accordingly, the non-reflection property will not be affected, and the filter response is the same as before. For example, after two filters of the same type with a reference impedance of 50Ohm are connected in parallel, the reference impedance becomes 25Ohm, and the filter response remains unchanged.
具有相同端口阻抗的无反射桥式滤波器之间可以通过级联改善滤波响应或产生更为复杂的滤波响应,无反射的性质不变。例如,通过级联两个端口阻抗完全相同的无反射滤波器可以产生更陡峭和更深的带外抑制,插入损耗也相应变高。再如,通过级联低通和高通无反射滤波器,可以实现带通滤波器。上述两例中无反射性质不变。The non-reflection bridge filters with the same port impedance can be cascaded to improve the filter response or produce a more complex filter response, and the non-reflection property remains unchanged. For example, by cascading two reflection-free filters with exactly the same port impedance, steeper and deeper out-of-band rejection can be produced, and the insertion loss is correspondingly higher. As another example, a band-pass filter can be realized by cascading low-pass and high-pass reflection-free filters. In the above two cases the non-reflection property remains unchanged.
本发明的无反射滤波器具有在全频带内反射系数为零的特点,在实际使用时,无需考虑滤波器单元对整体电路由于反射而造成的不良影响,也可以方便的级联以进一步改善滤波器的工作性能。The non-reflection filter of the present invention has the characteristic that the reflection coefficient is zero in the whole frequency band. In actual use, there is no need to consider the adverse effect of the filter unit on the overall circuit due to reflection, and it can also be conveniently cascaded to further improve the filter. device performance.
为了验证本发明能够实现具有可定制响应的无反射滤波器,特列举两个实施例进行说明。In order to verify that the present invention can realize a reflectionless filter with a customizable response, two examples are given for illustration.
实施例一、Embodiment one,
本实施例中,如图2所示,各单端口电路子网络利用了端接负载的二端口反射式滤波器网络7加以实现,本发明不对其进行限定。In this embodiment, as shown in FIG. 2 , each single-port circuit sub-network is realized by using a two-port reflective filter network 7 connected to a load, which is not limited by the present invention.
在本实施例采用了50Ohm的端口参考阻抗,即R0=50Ω,本发明不对其进行限定。In this embodiment, a port reference impedance of 50 Ohm is adopted, that is, R 0 =50Ω, which is not limited in the present invention.
本实施例中,采用了基于集总元件的椭圆函数带通滤波器设计,本发明不对其进行限定。In this embodiment, an elliptic function bandpass filter design based on lumped elements is adopted, which is not limited in the present invention.
本实施例中,采用了完全相同的单端口电路子网络电路设计,即第一单端口电路子网络1或第三单端口电路子网络3完全相同,第二单端口电路子网络2或第四单端口电路子网络4完全相同,本发明不对其进行限定。In this embodiment, the same single-port circuit sub-network circuit design is adopted, that is, the first single-port circuit sub-network 1 or the third single-port circuit sub-network 3 are completely the same, and the second single-port circuit sub-network 2 or the fourth The single-port circuit sub-network 4 is completely the same, which is not limited in the present invention.
本实施例中,采用了相邻单端口电路子网络电路互为对偶的设计,即第一单端口电路子网络1和第二单端口电路子网络2相互对偶,本发明不对其进行限定。In this embodiment, a design in which adjacent single-port circuit sub-networks are dual to each other is adopted, that is, the first single-port circuit sub-network 1 and the second single-port circuit sub-network 2 are dual to each other, which is not limited in the present invention.
在本实施例中,设计目标为集总参数的(准)椭圆函数带通滤波器,中心工作频率在1GHz,相对工作带宽4%。第二单端口电路子网络2对端口参考阻抗R0=50Ohm的反射响应即为整体滤波器网络的传输响应。因此,当第二单端口电路子网络2的反射响应为(准)椭圆函数带通滤波器,且电路元件均为集总参数式时,即可满足设计要求。出于简化设计考虑,本样例中采用了成熟的二端口滤波器网络作为第二单端口电路子网络2的具体实施方法,如图二所示。当此二端口滤波器网络7端接50Ohm负载时,即构成了单端口电路子网络电路。当端接负载的二端口滤波器网络7反射响应为(准)椭圆函数带通滤波器时,根据能量守恒关系式可以得出,此时的二端口滤波器网络7的传输响应应为(准)椭圆函数带阻滤波器。因此,只需设计出符合要求的(准)椭圆函数带阻滤波器,并利用集总参数元件实现,即可完成第二单端口电路子网络2的设计。In this embodiment, the design target is a (quasi) elliptic function bandpass filter with lumped parameters, the central operating frequency is 1 GHz, and the relative operating bandwidth is 4%. The reflection response of the second single-port circuit sub-network 2 to the port reference impedance R 0 =50 Ohm is the transmission response of the overall filter network. Therefore, when the reflection response of the second single-port circuit sub-network 2 is a (quasi) elliptic function bandpass filter, and the circuit elements are all lumped parameter formulas, the design requirements can be met. Considering the simplicity of the design, a mature two-port filter network is used in this example as the specific implementation method of the second single-port circuit sub-network 2, as shown in Figure 2. When the two-port filter network 7 is connected to a 50 Ohm load, a single-port circuit sub-network circuit is formed. When the reflection response of the two-port filter network 7 connected to the load is a (quasi) elliptic function bandpass filter, according to the energy conservation relational expression, it can be drawn that the transmission response of the two-port filter network 7 at this time should be (quasi) ) Elliptic function band-stop filter. Therefore, the design of the second single-port circuit sub-network 2 can be completed only by designing a (quasi) elliptic function band-stop filter that meets the requirements and realizing it with lumped parameter elements.
为简化整体的电路设计,在具体实施过程中,本实施例采用了完全相同和对偶的单端口电路子网络设计,即不相邻单端口电路子网络完全相同,相邻单端口电路子网络完全对偶,单端口电路子网络8和9其结构分别如如图3(a)和图3(b)所示。最终完成的滤波器电路结构图如图3(c)所示。在该滤波器电路中,四个单端口电路子网络被简化为两种,两者间互相对偶,即图3中的单端口电路子网络8和9,其中,各个元件的取值如表1所示。In order to simplify the overall circuit design, in the specific implementation process, this embodiment adopts the identical and dual single-port circuit subnetwork design, that is, the non-adjacent single-port circuit subnetworks are completely the same, and the adjacent single-port circuit subnetworks are completely identical. Dual, single-port circuit sub-networks 8 and 9 are shown in Figure 3(a) and Figure 3(b) respectively. The final structure of the filter circuit is shown in Fig. 3(c). In this filter circuit, the four single-port circuit subnetworks are simplified into two types, which are dual to each other, that is, the single-port circuit subnetworks 8 and 9 in Fig. 3, where the values of each component are shown in Table 1 shown.
表1Table 1
利用ADS仿真软件,对上述电路原理图进行了模拟仿真,得到的S参数曲线如图4所示。从传输系数S21曲线可知,在1.0GHz处,该滤波器形成了一个通带,其带宽为4%左右,同时还拥有两个带外传输零点,符合设计要求。该滤波器的仿真反射系数S11在全频带内均小于-100dB,验证了无反射的性质。Using ADS simulation software, the above-mentioned circuit schematic diagram is simulated and simulated, and the obtained S parameter curve is shown in Figure 4. It can be seen from the transmission coefficient S 21 curve that at 1.0GHz, the filter forms a passband with a bandwidth of about 4%, and also has two out-of-band transmission zeros, which meet the design requirements. The simulated reflection coefficient S 11 of the filter is less than -100dB in the whole frequency band, which verifies the property of no reflection.
实施例二、Embodiment two,
本实施例中,如图5(e)所示,利用理想传输线结构,本发明设计了一种无反射滤波器,包括:输入端口5和输出端口6,两个单端口传输线子网络12和13;其桥式连接方式同实施实例1,此处不再详述,如图1。下面简单描述此类传输线滤波器的具体设计方法。In the present embodiment, as shown in Fig. 5 (e), utilize ideal transmission line structure, the present invention has designed a kind of reflectionless filter, comprise: input port 5 and output port 6, two single-port transmission line sub-networks 12 and 13 ; Its bridge connection mode is the same as embodiment 1, and will not be described in detail here, as shown in Figure 1. The specific design method of this type of transmission line filter is briefly described below.
本实施样例目标为传输线结构的无反射带通滤波器,为简化设计流程,本实施样例采用了归一化阻抗为1Ohm的终端负载及输入输出参考端口;采用了相邻子网络相互对偶、不相邻子网络完全相同的整体网络设计。本发明不对其进行限定。The goal of this implementation example is a reflectionless bandpass filter with a transmission line structure. In order to simplify the design process, this implementation example uses a terminal load with a normalized impedance of 1Ohm and an input and output reference port; the adjacent subnetworks are dual , The overall network design in which non-adjacent sub-networks are identical. The present invention is not limited thereto.
如图5(a)所示,传输线子网络10为直接利用理查德(Richard)变换生成的传输线网络,其原型为单端接负载的二端口三阶切比雪夫函数低通滤波器,其元件值为归一化值。该网络10的反射系数曲线可视为一带通滤波器。利用对偶原则,可以直接生成相应的另一传输线子网络11,此网络也为端接负载的三阶切比雪夫函数低通滤波器,如图5(b)。As shown in Fig. 5(a), the transmission line sub-network 10 is a transmission line network generated directly by Richard transform, and its prototype is a two-port third-order Chebyshev function low-pass filter connected to a single-ended load. Component values are normalized values. The reflection coefficient curve of the network 10 can be regarded as a bandpass filter. Using the principle of duality, another corresponding transmission line sub-network 11 can be directly generated, which is also a third-order Chebyshev function low-pass filter connected to the load, as shown in Figure 5(b).
利用黑田(Kuroda)变换,可以将传输线子网络10和11转换成为只有并联枝节线的传输线网络,分别形成如图5(c)的传输线网络12和如图5(d)的传输线网络13,此时的传输线网络中各电抗元件已被单位元件分隔开,有利于微波实现。Using the Kuroda transformation, the transmission line sub-networks 10 and 11 can be transformed into transmission line networks with only parallel stub lines, respectively forming the transmission line network 12 shown in Figure 5(c) and the transmission line network 13 shown in Figure 5(d). At this time, the reactance elements in the transmission line network have been separated by unit elements, which is beneficial to the realization of microwave.
特别的,经过黑田变换之后,传输线网络12和13在结构上已经不是严格意义上的对偶网络了,只是其输入阻抗互为倒数。上述各电路网络的元件取值详见表2。In particular, after the Kuroda transformation, the transmission line networks 12 and 13 are no longer strictly dual networks in structure, but their input impedances are reciprocals of each other. The values of the components of the above-mentioned circuit networks are shown in Table 2.
表2Table 2
将传输线网络12和13按照图5(e)中的方式桥接起来,同时端口阻抗设置为1Ohm,即可完成传输线型带通(高通)滤波器的原型设计。在实际滤波器加工实现时,首先,需将各元件传输线的特征阻抗利用要求的参考阻抗进行反归一化操作,例如:50Ohm,本发明不对其进行详细介绍。物理实现时,可以采用微带线、同轴线、槽线、共面波导、双面平行带线等传输线进行设计,也可对其进行混合设计,本发明不对其加以限定。By bridging the transmission line networks 12 and 13 as shown in Fig. 5(e), and setting the port impedance to 1 Ohm, the prototype design of the transmission line band-pass (high-pass) filter can be completed. In the actual processing and realization of the filter, first, the characteristic impedance of the transmission line of each component needs to be denormalized using the required reference impedance, for example: 50 Ohm, which is not described in detail in the present invention. In physical implementation, transmission lines such as microstrip lines, coaxial lines, slot lines, coplanar waveguides, and double-sided parallel strip lines can be used for design, and mixed designs can also be used, which are not limited by the present invention.
如图6所示,利用ADS软件,可以得到该电路的完整响应。在1GHz处具有一个通带,在全频带内反射系数的幅度S11均小于-70dB,接近于无反射,此处反射系数的不理想性是由于在计算传输线特性阻抗时的截断误差引起的,通过提高仿真阻抗数值精度,可以降低反射系数。同理,在实际电路加工制作时,上述反射系数的大小与加工精度有关,而与设计无关。As shown in Figure 6, using ADS software, you can get the complete response of the circuit. There is a passband at 1GHz, and the magnitude S 11 of the reflection coefficient in the whole frequency band is less than -70dB, which is close to no reflection. The non-ideality of the reflection coefficient here is caused by the truncation error when calculating the characteristic impedance of the transmission line. By improving the numerical accuracy of the simulated impedance, the reflection coefficient can be reduced. Similarly, in actual circuit fabrication, the magnitude of the above-mentioned reflection coefficient is related to machining accuracy, but has nothing to do with design.
综上,本发明的基于传输线结构的带通滤波器能够实现无反射的高性能滤波响应,具有具有在全频带内反射系数为零,结构简单,性能优异等优点。此本发明有着广泛的应用前景。In summary, the bandpass filter based on the transmission line structure of the present invention can realize a high-performance filter response without reflection, and has the advantages of zero reflection coefficient in the entire frequency band, simple structure, and excellent performance. This invention has wide application prospects.
上面结合附图对本发明的实施方式作了详细说明,但是本发明并不限于上述实施方式,在本领域普通技术人员所具备的知识范围内,还可以在不脱离本发明宗旨的前提下做出各种变化。The embodiments of the present invention have been described in detail above in conjunction with the accompanying drawings, but the present invention is not limited to the above embodiments, and can also be made without departing from the gist of the present invention within the scope of knowledge possessed by those of ordinary skill in the art. Variations.
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