CN110034780B - Method and system for constructing N-port microwave passive network and readable storage medium - Google Patents

Method and system for constructing N-port microwave passive network and readable storage medium Download PDF

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CN110034780B
CN110034780B CN201910232340.XA CN201910232340A CN110034780B CN 110034780 B CN110034780 B CN 110034780B CN 201910232340 A CN201910232340 A CN 201910232340A CN 110034780 B CN110034780 B CN 110034780B
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魏蕾
张浩驰
尹清清
刘伟林
朱艺巧
唐诗文
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Hunan Cyber Electronic Technology Co ltd
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Abstract

The invention relates to the technical field of wireless communication systems, and discloses a method and a system for constructing an N-port microwave passive network and a readable storage medium, which lay a foundation for reasonably determining the number of coupled resonant cavities according to an S parameter matrix, rapidly solving a decoupling coefficient matrix and constructing a required circuit topology, further deducing an actual circuit structure and realizing the miniaturization of a device. The method comprises the following steps: starting from S parameters of a network to be designed, a coupling coefficient matrix between resonant cavities can be obtained through programmed mathematical deformation and operation processes, so that a corresponding circuit matrix topology is further deduced, and an achievable N-port circuit network can be obtained by means of a low-loss coupling resonator realized by the prior art. The method establishes a reliable bridge between the coupling resonance circuit and any S parameter network synthesis, and provides a necessary theoretical basis for synthesizing any passive S parameter circuit network.

Description

Method and system for constructing N-port microwave passive network and readable storage medium
Technical Field
The invention relates to the technical field of wireless communication systems, in particular to a method and a system for constructing an N-port microwave passive network and a readable storage medium.
Background
In the microwave technology, a unified topology integration method aiming at any target is an important subject for realizing the automatic design of the microwave technology. However, in the prior art, since the coupling effect between the constituent components is not effectively utilized, not only is the actual wiring structure of the device challenging, but also more importantly, the circuit topology needs to include a large number of transformation elements. However, for the high-frequency microwave technology, the realization of a transformer without phase shift has certain design difficulty, and the miniaturization of devices cannot be realized.
Disclosure of Invention
The invention aims to disclose a construction method, a system and a readable storage medium of an N-port microwave passive network, which are used for reasonably determining the number of coupled resonant cavities according to an S parameter matrix and laying a foundation for rapidly solving a decoupling coefficient matrix and constructing a required circuit topology subsequently, further deducing an actual circuit structure and realizing miniaturization of a device.
In order to achieve the purpose, the invention discloses a method for constructing an N-port microwave passive network, which comprises the following steps:
step S1, obtaining an S parameter matrix;
step S2, judging whether the S parameter matrix is positive, if not, converting the S parameter matrix into a lossless matrix
Figure BDA0002007116190000011
Step S3, according to S parameter matrix or lossless matrix satisfying unitary positive
Figure BDA0002007116190000012
Calculating an intermediate state matrix D; the calculation formula of the intermediate state matrix D is as follows:
D＝2(En+S)-1-En(ii) a Or
Figure BDA0002007116190000013
Wherein E isnIs an N-order cell matrix;
step S4, according to the diagonal element condition of the intermediate state matrix D, determining the number of the needed coupling resonant cavities:
the first condition is as follows: if the diagonal elements of the intermediate state matrix D are all 0, constructing a microwave passive network by using coupling resonant cavities of N directly connected ports;
case two: and if the diagonal elements of the intermediate state matrix D are not all 0, constructing a microwave passive network by using the coupling resonant cavities of N directly connected ports and 2 unconnected ports.
Corresponding to the method, the invention also discloses a construction system of the N-port microwave passive network, which comprises a memory, a processor and a computer program which is stored on the memory and can be operated on the processor, wherein the steps of the method are realized when the processor executes the computer program.
In another aspect, the present invention also discloses a computer storage medium having a computer program stored thereon, which when executed by a processor, performs the steps of the above method.
The invention has the following beneficial effects:
the quantity of the coupling resonant cavities can be reasonably determined according to the S parameter matrix, so that a convenient foundation is laid for rapidly solving the decoupling coefficient matrix and constructing the required circuit topology, further deriving the actual circuit structure and realizing the miniaturization of the device. Therefore, on one hand, the design difficulty of related circuits is simplified, the microwave circuit structure can be effectively simplified, and the large-scale complex-function circuit is convenient to manufacture. On the other hand, the S parameter network constructed by the invention has the natural filtering characteristic out of band, so that the filter in the existing structure can be saved, and the structure can be more compact.
In summary, the following steps: the design conditions of the invention are no more than N +2 resonators, which ensures the miniaturization and practicability of the obtained design, facilitates the simplification of the design of the existing microwave system, and improves the degree of automatic design.
The present invention will be described in further detail below with reference to the accompanying drawings.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate embodiments of the invention and, together with the description, serve to explain the invention and not to limit the invention. In the drawings:
FIG. 1 is a topology diagram of a generalized coupled resonator circuit as disclosed in an embodiment of the present invention.
Detailed Description
The embodiments of the invention will be described in detail below with reference to the drawings, but the invention can be implemented in many different ways as defined and covered by the claims.
Example one
The embodiment discloses a method for constructing an N-port microwave passive network, wherein the circuit topology structure of a generalized coupling resonator of the microwave passive network is shown in fig. 1. In this embodiment, the current source may be located at any one port, not only at port 1, but only the case corresponding to port 1 is illustrated in the figure as an example.
The method of the embodiment specifically comprises the following steps:
and step S1, acquiring an S parameter matrix.
Step S2, judging whether the S parameter matrix is positive, if not, converting the S parameter matrix into a lossless matrix
Figure BDA0002007116190000031
In this step, it is judged whether S is satisfied or not, that is, whether unitary positive is judgedHS ═ E, where S isHIs the conjugate transpose of S, and E is the cell matrix. If yes, it has unitary positive; otherwise, it is not.
On the other hand, in this step, optionally, the S parameter matrix is converted into a lossless matrix
Figure BDA0002007116190000032
The formula of (a) is specifically:
Figure BDA0002007116190000033
where U is a unitary matrix obtained by singular value decomposition S, UHBeing a conjugate transpose of the U matrix, U*A conjugate matrix representing the matrix U; o denotes an all-zero matrix, U2In response to the order unitary matrix, an
Figure BDA0002007116190000034
Λ3＝diag(δ1Er1,δ2Er2,L,δq-1Er(q-1))；
Wherein, delta1,δ2,K,δqFor singular values of ascending order of S matrix, r1, r2, K, rq are singular values delta1,δ2,K,δqMultiple of (E)r1、Er2…ErqAre ri-order cell matrixes respectively; i is 1,2, K, q;
Figure BDA0002007116190000035
where V is another unitary matrix obtained by singular value decomposition S, UTRepresenting a transpose of the U matrix; a is the part corresponding to singular value 0, if the multiple number n of singular value 0, A is n-order unitary matrix, W2The unitary matrix is corresponding to non-zero singular value.
Step S3, according to S parameter matrix or lossless matrix satisfying unitary positive
Figure BDA0002007116190000036
Calculating an intermediate state matrix D; the calculation formula of the intermediate state matrix D is as follows:
D＝2(En+S)-1-En(ii) a Or
Figure BDA0002007116190000037
Wherein E isnIs an N-order cell matrix.
And step S4, determining the number of the required coupling resonant cavities according to the diagonal element condition of the intermediate state matrix D.
The steps are divided into the following two cases:
the first condition is as follows: and if the diagonal elements of the intermediate state matrix D are all 0, constructing a microwave passive network by using the coupling resonant cavities of N directly connected ports.
Case two: and if the diagonal elements of the intermediate state matrix D are not all 0, constructing a microwave passive network by using the coupling resonant cavities of N directly connected ports and 2 unconnected ports.
And step S5, calculating a coupling coefficient matrix of the constructed microwave passive network, converting the circuit topology into an actual circuit according to the related circuit topology and the coupling coefficient matrix, and completing the comprehensive process of the N-port microwave network.
In this step, the final structure can be achieved using a substrate integrated waveguide.
Optionally, a solving formula of the coupling coefficient matrix M corresponding to the first case is as follows:
M＝j D/Qe；
wherein Q iseIs the external quality factor of the cavity.
Optionally, solving the coupling coefficient corresponding to the case two includes:
step S51, the obtained coupling coefficient matrix M is partitioned into:
Figure BDA0002007116190000041
wherein M is1The matrix represents the mutual coupling (M) between the resonators as connection ports1Is an N-th order square matrix), M2For the coupling coefficient (M) between two resonators with N connection ports and no connection ports2Is a matrix of order N x 2); m3Representing the coupling coefficient (M) between two resonators without connected ports3In a 2 x 2 order square matrix).
Step S52, adding M2Taking the element in (1) as an independent variable, and calculating an equation:
2jQemi(n+1)mi(n+2)/m(n+1)(n+2)＝Dii；
M1＝PΛ-1PT+j D/Qe；
Figure BDA0002007116190000042
Figure BDA0002007116190000043
wherein D isiiI diagonal element, m, of the representation matrix Di(n+1)Representing the elements of the ith row n +1 column in the M matrix, M(n+1)(n+2)Representing the elements of row n +2 of row n +1 in the M matrix.
The values are stated as: in the solving process of the second case, N +1 free variables can be adjusted, and the independent variables are adjusted to enable M to be equal to1The matrix has 0 as much as possible to simplify the process of converting the circuit topology into the actual circuit by applying the coupling coefficient matrix subsequently as much as possible.
In summary, the method of the present embodiment can obtain a theoretical circuit topology for any physically realizable passive microwave network. However, the circuit topology solved for a particular S-parameter network may not be unique and may be selected according to the relevant requirements.
In the embodiment, an N +1 resonant cavities are abandoned to construct an N-port network, and mathematically, the situation can be naturally degenerated to the situation of N resonators. And the case of N +3 is based on the prior research of the inventor: for the case of N +2, the index is the S parameter of the single frequency point, but there is no significant advantage, and an extra circuit area will be caused. Thereby: the design condition that this embodiment is no longer than N +2 syntonizers has guaranteed the miniaturization and the practicality of gained design, helps simplifying the design of current microwave system, promotes automatic design degree.
Example two
Corresponding to the above method embodiments, this embodiment discloses a system for constructing an N-port microwave passive network, which includes a memory, a processor, and a computer program stored in the memory and executable on the processor, where the processor implements the steps of the above method when executing the computer program.
EXAMPLE III
The present embodiment discloses a computer storage medium having stored thereon a computer program which, when executed by a processor, performs the steps of the above-described method.
In summary, the method, the system and the readable storage medium for constructing an N-port microwave passive network disclosed in the above embodiments of the present invention have at least the following advantages:
the quantity of the coupling resonant cavities can be reasonably determined according to the S parameter matrix, so that a convenient foundation is laid for rapidly solving the decoupling coefficient matrix and constructing the required circuit topology, further deriving the actual circuit structure and realizing the miniaturization of the device. Therefore, on one hand, the design difficulty of related circuits is simplified, the microwave circuit structure can be effectively simplified, and the large-scale complex-function circuit is convenient to manufacture. On the other hand, the S parameter network constructed by the invention has the natural filtering characteristic out of band, so that the filter in the existing structure can be saved, and the structure can be more compact.
The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (6)

1. A construction method of an N-port microwave passive network is characterized by comprising the following steps:
step S1, obtaining
Figure 1794DEST_PATH_IMAGE001
A parameter matrix;
step S2, judging the
Figure 219148DEST_PATH_IMAGE001
Whether the parameter matrix is positive, if not, the parameters are
Figure 957297DEST_PATH_IMAGE002
Conversion of matrix into lossless matrix
Figure 805168DEST_PATH_IMAGE003
；
Step S3, according to the requirement of unitary positive
Figure 28601DEST_PATH_IMAGE001
Parameter matrix or lossless matrix
Figure 987329DEST_PATH_IMAGE003
Computing an intermediate state matrix
Figure 845564DEST_PATH_IMAGE004
(ii) a The intermediate state matrix
Figure 926653DEST_PATH_IMAGE004
The calculation formula of (2) is as follows:
Figure 604759DEST_PATH_IMAGE005
(ii) a Or
Figure 367178DEST_PATH_IMAGE006
；
Wherein the content of the first and second substances,
Figure 345499DEST_PATH_IMAGE007
is an N-order cell matrix;
step S4, according to the intermediate state matrix
Figure 331909DEST_PATH_IMAGE008
The number of the required coupling resonant cavities is judged according to the diagonal element condition:
the first condition is as follows: if the intermediate state matrix
Figure 966153DEST_PATH_IMAGE008
The diagonal elements of (A) are all 0, then N direct links are usedConstructing a microwave passive network by the coupling resonant cavity connected with the port;
case two: if the intermediate state matrix
Figure 329001DEST_PATH_IMAGE008
If the diagonal elements are not all 0, the coupling resonant cavities of N directly connected ports and the coupling resonant cavities of 2 unconnected ports are used for constructing a microwave passive network;
step S5, calculating a coupling coefficient matrix of the constructed microwave passive network, converting the circuit topology into an actual circuit according to the related circuit topology and the coupling coefficient matrix, and completing the comprehensive process of the N-port microwave network;
will be described in
Figure 99511DEST_PATH_IMAGE001
Conversion of parameter matrix into lossless matrix
Figure 522402DEST_PATH_IMAGE009
The formula of (a) is specifically:
Figure 378362DEST_PATH_IMAGE010
wherein the content of the first and second substances,
Figure 780787DEST_PATH_IMAGE011
is by singular value decomposition
Figure 733700DEST_PATH_IMAGE001
Resulting unitary matrix, UHIs composed of
Figure 61913DEST_PATH_IMAGE011
The conjugate of the transpose of the matrix is,
Figure 405170DEST_PATH_IMAGE012
to represent
Figure 109820DEST_PATH_IMAGE011
A conjugate matrix of the matrix;
Figure 854922DEST_PATH_IMAGE013
a matrix of all zeros is represented and,
Figure 619616DEST_PATH_IMAGE014
in response to the order unitary matrix, an
Figure 246907DEST_PATH_IMAGE015
；
Figure 692931DEST_PATH_IMAGE016
；
Wherein the content of the first and second substances,
Figure 620436DEST_PATH_IMAGE017
is composed of
Figure 290452DEST_PATH_IMAGE018
The singular values of the matrix in ascending order,
Figure 342722DEST_PATH_IMAGE019
are respectively singular values
Figure 156219DEST_PATH_IMAGE020
The number of the multiple of (a) and (b),
Figure 875913DEST_PATH_IMAGE021
、
Figure 982410DEST_PATH_IMAGE022
…
Figure 318713DEST_PATH_IMAGE023
are respectively asriA rank cell matrix;
Figure 106540DEST_PATH_IMAGE024
；
Figure 743058DEST_PATH_IMAGE025
wherein the content of the first and second substances,
Figure 958139DEST_PATH_IMAGE026
is by singular value decomposition
Figure 47318DEST_PATH_IMAGE001
The result is another unitary matrix which is,
Figure 435574DEST_PATH_IMAGE027
to represent
Figure 129860DEST_PATH_IMAGE028
Transposing the matrix;
Figure 312580DEST_PATH_IMAGE029
the part corresponding to singular value 0, if the multiple n of singular value 0
Figure 889055DEST_PATH_IMAGE029
Is a unitary matrix of order n,
Figure 18685DEST_PATH_IMAGE030
the unitary matrix is corresponding to non-zero singular value.
2. The method of claim 1, wherein the coupling coefficient matrix corresponding to the case one is the same as the coupling coefficient matrix corresponding to the case one
Figure 865680DEST_PATH_IMAGE031
The solving formula is as follows:
Figure 484880DEST_PATH_IMAGE032
；
wherein the content of the first and second substances,Q e is the external quality factor of the cavity.
3. The method of claim 2, wherein the solving of the coupling coefficient corresponding to case two comprises:
step S51, the coupling coefficient matrix is calculated
Figure 486334DEST_PATH_IMAGE033
The partitioning is as follows:
Figure 216393DEST_PATH_IMAGE034
；
wherein the content of the first and second substances,M 1 the matrix represents the mutual coupling between the resonators as connection ports,
Figure 682009DEST_PATH_IMAGE035
coupling coefficients between the N connection ports and the two resonators not connected with the ports;
Figure 409794DEST_PATH_IMAGE036
representing the coupling coefficient between two resonators not connected to a port;
step S52, the
Figure 960861DEST_PATH_IMAGE037
Taking the element in (1) as an independent variable, and calculating an equation:
Figure 494611DEST_PATH_IMAGE038
；
Figure 752417DEST_PATH_IMAGE039
；
Figure 447840DEST_PATH_IMAGE040
；
Figure 486203DEST_PATH_IMAGE041
；
wherein the content of the first and second substances,
Figure 761327DEST_PATH_IMAGE042
representation matrix
Figure 171842DEST_PATH_IMAGE008
The ith diagonal element of (a) is,
Figure 569325DEST_PATH_IMAGE043
to represent
Figure 563826DEST_PATH_IMAGE033
The elements in row i, column n +1 of the matrix, and, similarly,
Figure 642640DEST_PATH_IMAGE044
to represent
Figure 671776DEST_PATH_IMAGE033
The (n + 1) th row and the (n + 2) th column in the matrix.
4. The method for constructing an N-port microwave passive network according to claim 3, further comprising:
in the solving process, the independent variable is adjusted to ensure thatM 1 The matrix has as many 0 s as possible.
5. A system for constructing an N-port microwave passive network, comprising a memory, a processor and a computer program stored in the memory and executable on the processor, wherein the processor implements the steps of the method according to any one of the preceding claims 1 to 4 when executing the computer program.
6. A computer storage medium having a computer program stored thereon, wherein the program is adapted to perform the steps of the method of any one of claims 1 to 4 when executed by a processor.
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CN102279896A (en) * 2010-06-10 2011-12-14 鸿富锦精密工业（深圳）有限公司 Hspice compatible equivalent circuit simulation system and method
CN102646140A (en) * 2011-03-24 2012-08-22 常熟市东方邮电通信设备厂 Public-terminal impedance matching structure and public-port impedance matching method of combiner
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