CN102931926B - Low-noise amplifier optimization method - Google Patents
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Abstract
The invention discloses a low noise amplifier optimization method, which comprises the following steps: obtaining the input characteristic expression of the low-noise amplifier main circuit and the noise parameter expression of the low-noise amplifier main circuit by a low-signal model obtained by a low-noise amplifier main circuit according to a two-port noise theory; matching the input characteristic expression of the low-noise amplifier main circuit with the noise parameter expression of the low-noise amplifier main circuit, and determining parameter values of elements involved in the low-noise amplifier main circuit; and matching the input characteristic expression of the low-noise amplifier main body circuit and the noise parameter expression of the low-noise amplifier main body circuit with the characteristic expression of a source end circuit respectively, and determining the parameter values of the elements related to the source end circuit. The optimization method of the low-noise amplifier provided by the invention is convenient for intuitively displaying the relation between the optimization target and the optimization process.
Description
Technical Field
The invention relates to the field of radio frequency integrated circuit design, in particular to a low noise amplifier optimization method.
Background
With the rapid development of scientific technology, the application of radio frequency integrated circuit technology in daily life of people is more and more extensive, such as microwave communication, radar detection, remote control and remote measurement systems, computers and various electronic products, which provides great convenience for daily life of people. The low noise amplifier can obtain the maximum possible signal-to-noise ratio at the output end on the premise of introducing only small internal noise, so that the low noise amplifier is widely applied to various aspects in the field of radio frequency integrated circuit design, such as high-frequency or intermediate-frequency preamplifiers of various radio receivers and amplifying circuits of high-sensitivity electronic detection equipment, and because the subsequent processing of signals of the circuit is performed on the basis of signals amplified by the low noise amplifier, the gain effect of the low noise amplifier is very important.
As can be seen from the above, the low noise amplifier is one of the important modules of the rf integrated circuit, and the gain control using the low noise amplifier is widely applied in the field of rf integrated circuit design. Through the low noise amplifier, the circuit can expand the dynamic range of the received signal, reduce power consumption and improve linearity. In recent years, the rapid development of the portable radio frequency terminal market has made the performance requirement for the low noise amplifier higher and higher, and further, an optimization method for the low noise amplifier is urgently needed.
In the case of amplifying a weak signal, the interference of the noise of the lna itself to the signal may be serious, so it is desirable to reduce the noise to improve the signal-to-noise ratio of the output, and optimizing the design can greatly improve the performance. Most of optimization methods for low noise amplifiers in the prior art are based on a method proposed by d.k.shaeffer, and are optimized for a fixed input matching network topology, which represents optimization methods for low noise amplifiers under two constraint conditions of constant transconductance and constant power consumption.
The small-signal modeling is carried out on the low-noise amplifier by adopting a D.K.Shaeffer method, and an analytical expression of a noise coefficient can be derived by introducing new variables, conversion elements and other methods. However, this method is too dependent on complicated mathematical derivations, so that the relation between the optimization objective and the optimization process is not intuitive enough.
Disclosure of Invention
In view of the above, the present invention provides a method for optimizing a low noise amplifier, which can intuitively display the relationship between the optimization objective and the optimization process.
In order to achieve the purpose, the invention provides the following technical scheme:
a method of optimizing a low noise amplifier, the method comprising the steps of:
obtaining an input characteristic expression of a low-noise amplifier main body circuit and a noise parameter expression of the low-noise amplifier main body circuit by a small-signal model obtained by a low-noise amplifier main body circuit according to a two-port noise theory, wherein the input characteristic expression of the low-noise amplifier main body circuit is an input impedance or an input admittance of the low-noise amplifier main body circuit, and the noise parameter expression of the low-noise amplifier main body circuit is a noise parameter impedance or a noise parameter admittance of the low-noise amplifier main body circuit;
matching the input characteristic expression of the low-noise amplifier main circuit with the noise parameter expression of the low-noise amplifier main circuit, and determining parameter values of elements involved in the low-noise amplifier main circuit;
and matching the input characteristic expression of the low-noise amplifier main body circuit and the noise parameter expression of the low-noise amplifier main body circuit with the characteristic expression of a source end circuit respectively, and determining the parameter values of elements related to the source end circuit, wherein the source end circuit comprises a signal source and a matching circuit between the signal source and the low-noise amplifier main body circuit.
According to the technical scheme, the low-noise amplifier optimization method provided by the invention is used for carrying out small-signal modeling on the main circuit of the low-noise amplifier according to a two-port noise theory, so that the input characteristic expression of the main circuit of the low-noise amplifier and the noise parameter expression of the main circuit of the low-noise amplifier are known, the input characteristic expression is matched with the noise parameter expression, and the parameter values of elements related to the main circuit of the low-noise amplifier can be determined. Therefore, the method takes the two-port noise theory as a basis, converts the noise optimization process into a process of matching the input characteristic expression and the noise parameter expression in the low-noise amplifier main circuit, and is convenient for visually displaying the relation between the optimization target and the optimization process.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic flow chart of a method for optimizing a low noise amplifier according to the present invention;
FIG. 2 is a schematic flow chart of another optimization method for a low noise amplifier according to the present invention;
FIG. 3 is a small signal equivalent circuit diagram for modeling a circuit according to the present invention;
FIG. 4 is a circuit diagram of a low noise amplifier when a matching circuit is connected;
FIG. 5 is a circuit diagram of a low noise amplifier when another matching circuit is connected;
FIG. 6 is a function f provided by the present inventiondA contour distribution map of;
FIG. 7 is a diagram of example simulation results provided by the present invention;
fig. 8 is a schematic diagram of a main circuit of a low noise amplifier according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Example one
As described in the background section, existing optimization methods for low noise amplifiers are mostly based on the d.k.shaeffer method, which relies too much on complicated mathematical derivation, so that the relationship between the optimization target and the optimization process is not intuitive. Based on the method, the low noise amplifier is optimized by taking a two-port noise theory as a basis, the noise optimization process is converted into a process of matching the input characteristic expression and the noise parameter expression in the main circuit of the low noise amplifier, and then the input characteristic expression and the noise parameter expression of the main circuit of the low noise amplifier are respectively matched with the input characteristic expression of a signal source, so that the relation between an optimization target and the optimization process is clarified.
Referring to fig. 1, fig. 1 is a schematic flow chart of a method for optimizing a low noise amplifier provided in the present invention, and the method specifically includes the following steps:
step S1: and obtaining the input characteristic expression and the noise parameter expression of the low-noise amplifier main body circuit by a small-signal model obtained by the low-noise amplifier main body circuit according to a two-port noise theory.
The low noise amplifier includes: a main body circuit and a source end circuit; the source end circuit comprises a signal source and a matching circuit, and the matching circuit connects the signal source in the source end circuit with the main body circuit.
In the step, small-signal modeling is firstly carried out on a main circuit of the low-noise amplifier according to a two-port noise theory, and then input characteristic expression of the main circuit of the low-noise amplifier and noise parameter expression of the main circuit of the low-noise amplifier are calculated according to a model obtained by modeling. Wherein the input characteristic of the low noise amplifier main circuit is expressed as the input impedance or the input admittance of the low noise amplifier main circuit, and the noise parameter of the low noise amplifier main circuit is expressed as the noise parameter impedance or the noise parameter admittance of the low noise amplifier main circuit.
Step S2: matching the input characteristic expression and the noise parameter expression of the low noise amplifier main body circuit, and determining parameter values of elements involved in the low noise amplifier main body circuit.
This step may in turn comprise the following steps:
step S21: constructor expression fd(a，b)＝(Xin-Xopt)2+(Yin-Yopt)2。
Constructor expression fd(a，b)＝(Xin-Xopt)2+(Yin-Yopt)2Wherein a and b are both parameters of elements involved in the low noise amplifier main body circuit, XinAnd YinRespectively, a real part expression and an imaginary part expression of the input characteristic of the main circuit of the low noise amplifier, XoptAnd YoptRespectively, a real part expression and an imaginary part expression of a noise parameter of the low noise amplifier main body circuit.
Step S22: determining the current function expression f under the constraint of a preset currentdAnd (a, b) is the parameter value corresponding to the element a and the element b when the (a, b) is minimum.
In a specific implementation process, under the constraint of a preset current, a preset value range is determined for the element a and the element b, the element a and the element b are scanned in the preset value range, and a function expression f is determineddContours of (a, b); expressing f in said functiondAnd (c) finding a minimum contour line from the contour lines of (a, b), taking a point on the minimum contour line, and determining a parameter value corresponding to the element a and a parameter value corresponding to the element b according to coordinates corresponding to the taken point.
Step S3: and matching the input characteristic expression and the noise parameter expression of the low-noise amplifier main body circuit with the characteristic expression of a source end circuit respectively, and determining the parameter values of the elements related to the source end circuit.
Wherein the characteristics of the source end circuit are expressed as input impedance or input admittance of the source end circuit.
From the above, the optimization method of the low noise amplifier provided by the present invention firstly performs small signal modeling on the main circuit of the low noise amplifier according to the two-port noise theory, and the basic idea of the two-port noise theory is as follows: the input characteristic and the noise parameter exist in any two-port network, when the input characteristic and the noise parameter are matched with a source end circuit, the noise coefficient is minimum, so that the input characteristic expression and the noise parameter expression of the low-noise amplifier main body circuit can be obtained after small-signal modeling is carried out according to a two-port noise theory, then the input characteristic expression and the noise parameter expression are matched, the parameter value of an element related to the low-noise amplifier main body circuit can be determined, finally, the input characteristic expression and the noise parameter expression are respectively matched with the source end circuit characteristic expression, and the parameter value of the element related to the source end circuit is determined. Therefore, the low-noise amplifier optimization method provided by the invention converts the noise optimization process into the process of matching the input characteristic expression and the noise parameter expression in the main circuit of the low-noise amplifier, thereby being convenient for intuitively displaying the relation between the optimization target and the optimization process.
Example two
Referring to fig. 2, fig. 2 is a schematic flow chart of another method for optimizing a low noise amplifier according to an embodiment of the present invention, where the method includes the following steps:
step S101: and obtaining the input characteristic expression and the noise parameter expression of the low-noise amplifier main body circuit by a small-signal model obtained by the low-noise amplifier main body circuit according to a two-port noise theory.
Referring to fig. 8, the low noise amplifier according to the embodiment of the present invention includes a transistor Q1A capacitor circuit (including a capacitor C)ex) And an inductor circuit (comprising an inductor L)e) Wherein the capacitor circuit is connected to the transistor Q1The base electrode and the emitter electrode are connected with the inductance circuit connected with the triode Q1Between the emitter and the reference groundAnd (3) removing the solvent. In this embodiment, a small-signal modeling is performed on the main circuit of the low-noise amplifier according to the two-port noise theory, and a small-signal equivalent circuit diagram used in the modeling is a two-port network as shown in fig. 3. As can be seen from fig. 3, the embodiment of the present invention takes into account the parasitic capacitance C between the gate and the drain when modeling the low-noise amplifier main body circuit for small signalsbcThis makes the parasitic capacitance C included in the input characteristic expression of the low noise amplifier main body circuit and the noise parameter expression of the low noise amplifier main body circuit, respectivelybc。
The first embodiment describes: the input characteristic of the low-noise amplifier main body circuit is expressed as the input impedance or the input admittance of the low-noise amplifier main body circuit, and the noise parameter of the low-noise amplifier main body circuit is expressed as the noise parameter impedance or the noise parameter admittance of the low-noise amplifier main body circuit. Since the impedance and the admittance are in reciprocal relation, the reciprocal can be easily obtained regardless of whether the impedance or the admittance is known. In this embodiment, the admittance is taken as an example to describe the optimization method of the low noise amplifier in detail.
The input admittance of the low noise amplifier main body circuit can be calculated from the circuit configuration diagram shown in fig. 3 as follows:
wherein G isinFor the expression of the real part of the input admittance, BinFor the imaginary representation of the input admittance, LeTo degenerate the inductance, CbcAnd CbeRespectively, the base-collector capacitance of the triode and the base-emitter total capacitance of the triode (including C)exCapacitance value of) gmIs crystal grainTransistor transconductance, gπFor the transistor input conductance, ω is the angular frequency.
The calculation process of the noise parameter admittance of the low noise amplifier is as follows:
according to the structure of the prior triode, two noise sources exist in the low-noise amplifier: i.e. incAnd inb(see fig. 3, the noise generation mechanism of the MOS transistor is different from that of the transistor, but the positions and the number of the noise sources are the same as those of the transistor), the two noise sources are first equalized to the input end, and four equivalent input noise sources are obtained.
Wherein,andrespectively, a noise source i is emitted by a collectorncAnd base flash noise source inbEquivalent to the noise voltage at the input terminal, andandare respectively represented byncAnd inbEquivalent to the noise current to the input. A. then1、An2、Zn1And Zn2The method comprises the following steps that four complex coefficients are used, the four complex coefficients link an original noise source and an equivalent input noise source, the noise power spectral density generated by the equivalent input noise source and the original noise source has the same effect at the output end through calculation, and the values of the complex coefficients are obtained and respectively:
An1≈1
the final form of the equivalent input noise source can then be obtained, namely:
by definition of the noise parameter admittance:
wherein, YcThe expression is an intermediate calculation quantity:
and finally, obtaining a specific expression of noise parameter admittance by calculation:
wherein G isoptAnd BoptRespectively, real and imaginary part expressions of the noise parameter admittance, IB，ICRespectively, base and collector direct current bias currents; t is the absolute temperature; r isbIs the base virtual resistance and q is the unit charge.
Step S102: matching the input characteristic expression and the noise parameter expression of the low noise amplifier main body circuit, and determining parameter values of elements involved in the low noise amplifier main body circuit.
In the prior art, a d.k.Shaeffer method is adopted to optimize a low noise amplifier, which solves a noise coefficient by an analytic expression, and the present invention matches an input characteristic expression and a noise parameter expression of a main circuit of the low noise amplifier by a numerical method to determine parameter values of elements involved in the main circuit of the low noise amplifier, and the steps specifically include:
constructor fd(Cex，Le)＝(Gin-Gopt)2+(Bin-Bopt)2(ii) a Under the constraint of preset current, solving current function fdWhen taking the minimum value CexAnd LeThe numerical value of (c). Wherein, the capacitor CexAnd an inductance LeAre all parameters of elements involved in the low noise amplifier main body circuit; ginAnd BinRespectively, a real part expression and an imaginary part expression of an input admittance of the main body circuit of the low noise amplifier, GoptAnd BoptRespectively a real part expression and an imaginary part expression of a noise parameter admittance of the low noise amplifier main body circuit; function fdAs a function of the construction.
Solving function fdThe process of minimum value of (d) may be: plotting function f by Matalb softwaredAt said function fdFinding the function f on the contour mapdAt function fdThe point on the minimum contour line is taken, and the capacitance C is determined by the coordinate corresponding to the taken pointexAnd an inductance LeThe numerical value of (c).
Step S103: and matching the input characteristic expression and the noise parameter expression of the low-noise amplifier main body circuit with the characteristic expression of a source end circuit respectively, and determining the parameter values of the elements related to the source end circuit.
Specifically, a matching circuit is added on the basis of the input admittance and the noise parameter admittance determined in step S102, so that the source admittance (the source admittance is determined by a resistor series-parallel formula) in the characteristic expression (source impedance or source admittance) of the source-end circuit is respectively matched with the input admittance and the noise parameter admittance, and parameter values of the element involved in the source-end circuit, including parameter values of the element in the matching circuit, are determined.
Step S104: optimizing a matching circuit so that parameters of an inductive element included in the matching circuit take a minimum value.
Based on the characteristics of the two-port noise theory, a more flexible input admittance matching circuit can be used on the premise of not changing noise matching, such as: the number of relevant elements in the matching circuit or the topology thereof, etc. are changed.
Referring to fig. 4, fig. 4 is a circuit diagram of a low noise amplifier when the matching circuit is connected according to the present invention, in which a transistor Q is shown1Capacitor CexAnd an inductance LeIs part of the components in the main circuit of the low noise amplifier, and the capacitor CexIs connected to the triode Q1Between the base and the emitter, said inductance LeIs connected to the triode Q1Between the emitter of (2) and ground reference; capacitor C in the figureSAnd an inductance LPI.e. the matching circuit in the circuit, the capacitor CSOne end of the first and second capacitors is connected to a signal source (not shown), and the other end is connected to a capacitor C in the main circuit of the low noise amplifier1Said inductance LPOne end of which is connected with a capacitor C in the main circuit of the low noise amplifier1And the other end is connected with a reference ground.
Inductance L in the matching circuit of FIG. 4PEither on-chip (i.e., integrated on-chip) or off-chip.
Referring to fig. 5, fig. 5 illustrates another example of accessing a target according to the present inventionCircuit diagram of low noise amplifier in circuit configuration, capacitor C in the diagram1Capacitor C2And an inductance LbForm a matching circuit, the capacitor C1And an inductance LbA capacitor C connected in series between a signal source (not shown) and the main circuit of the low noise amplifier1Connected to a signal source, an inductor LbA main circuit connected with the low noise amplifier and a capacitor C2One terminal of and a capacitor C1And an inductance LbAre connected and the other end is connected with a reference ground.
Inductor L in the matching circuit of fig. 5bThe inductor can be an on-chip inductor or an off-chip inductor.
Since the use of on-chip inductance in the matching circuit introduces large parasitic resistance, thereby increasing noise, the matching circuit should be optimized when using on-chip inductance, namely: the inductance value in the matching circuit is minimized under the condition that both the input admittance and the noise parameter admittance are matched with the source admittance.
Therefore, the invention optimizes the low-noise amplifier based on the two-port network noise theory, converts the noise optimization process into the process of matching the input characteristic expression and the noise parameter expression in the main circuit of the low-noise amplifier, and then respectively matches the input characteristic expression and the noise parameter expression of the main circuit of the low-noise amplifier with the input characteristic expression of the signal source, thereby being convenient for visually displaying the relationship between the optimization target and the optimization process.
In addition, the invention adopts a numerical method to solve the parameter values of the elements involved in the main circuit of the low-noise amplifier instead of an analytic method, so that the parasitic capacitance C between the grid and the drain can be used for modeling the low-noise amplifier by small signalsbcAnd the accuracy of theoretical prediction is greatly improved by taking the theoretical prediction into consideration.
Furthermore, the low-noise amplifier optimization method provided by the invention can freely transform the matching circuit under the condition that both the input admittance and the noise parameter admittance are matched with the source admittance, thereby optimizing the matching circuit to enable the inductance value in the matching circuit to be as small as possible, facilitating the realization of integrated inductance, promoting the application of the low-noise amplifier in the direction of the portable radio frequency terminal and accelerating the development of the field of the portable radio frequency terminal.
EXAMPLE III
The effectiveness of the optimization method of the low noise amplifier provided by the invention is illustrated by example simulation in the embodiment. In the specific simulation process, the radio frequency is set to be 2.4GHz (corresponding to a narrow-band low-noise amplifier), a SiGe BiCMOS process is adopted, all inductors are integrated inductors (or on-chip inductors), the power supply voltage is 1.8V, the constraint current is 1.3mA, and the matching circuit is shown in fig. 4.
Through computer aided calculation, the parameters of each active and passive device can be obtained.
Referring to FIG. 6, FIG. 6 is a diagram of a function f constructed in the second embodimentdThe Matalb program of the contour map of (1) is as follows:
from FIG. 6, the function f can be founddOn (or within) which a point is taken (due to the function f)dHas a small area surrounded by the minimum contour line, therefore, no matter the point is taken on the line or in the line, the error is small, and the coordinates of the taken point can be approximately considered to be the same). As can be seen from the figure, when the function fdWhen the minimum value is taken, the low noise amplifier is mainElement parameter C in bulk circuitexAnd LeThe values of (A) were 0.42pF and 0.9nH, respectively. C obtained from FIG. 6exAnd LeThe value of (A) is the value of the element parameter in the ideal case, in practical application, CexAnd LeIt is inevitable that the numerical values of (a) are deviated to a certain extent, and the deviation is within the allowable range.
According to the circuit structure shown in FIG. 4, the element parameter C in the main circuit of the low noise amplifier is obtainedexAnd LeOn the premise of the numerical value of (1), the input admittance and the noise parameter admittance are matched with the source admittance, and the parameter values of the elements related to the source end circuit can be solved, and the concrete solving result is shown in a table I.
Watch 1
| Parameters of elements | Value (ideal situation) | Value (non-ideal case) |
| Le | 0.9nH | 1.3nH |
| Cex | 0.42pF | 0.21pF |
| Lp | 3.8nH | 4.6nH |
| Cs | 0.78pF | 0.85pF |
| C1 | 50pF | 50pF |
| C2 | 244fF | 244fF |
| Lc | 10.1nH | 10.1nH |
| m | 10 | 10 |
Table one shows parameter values of related components in the lna main body circuit and the lna source end circuit, where the left column corresponds to component parameter values obtained under ideal conditions, that is: c obtained from the contour lines shown in FIG. 6exAnd LeAnd further at said CexAnd LeObtaining parameter values of other elements on the basis of the ideal value; the right column corresponds to the element parameter values determined in the non-ideal case, namely: when said C isexAnd LeThe values of (b) are calculated for the values of other elements in some non-ideal case (but within the allowable range of deviation).
And (3) carrying out simulation operation according to the parameter values of the relevant elements shown in the right column in the first table, namely: the element parameter values under the non-ideal condition are adopted in the simulation operation process, and the simulation result of the obtained noise coefficient is shown in fig. 7. As can be seen from fig. 7: even in a non-ideal case, at the radio frequency of 2.4GHz, the noise figure is very close to the minimum noise figure, and the difference between the two is only 0.055dB, thereby proving the effectiveness of the low-noise amplifier optimization method provided by the invention.
The embodiments of the present invention are described in a progressive manner, and the description in each embodiment has a focus, and related and similar parts can be referred to each other.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (6)
1. A method for optimizing a low noise amplifier, comprising the steps of:
obtaining an input characteristic expression of a low-noise amplifier main body circuit and a noise parameter expression of the low-noise amplifier main body circuit by a small-signal model obtained by a low-noise amplifier main body circuit according to a two-port noise theory, wherein the input characteristic expression of the low-noise amplifier main body circuit is an input impedance or an input admittance of the low-noise amplifier main body circuit, and the noise parameter expression of the low-noise amplifier main body circuit is a noise parameter impedance or a noise parameter admittance of the low-noise amplifier main body circuit;
matching the input characteristic expression of the low-noise amplifier main circuit with the noise parameter expression of the low-noise amplifier main circuit, and determining parameter values of elements involved in the low-noise amplifier main circuit;
matching the input characteristic expression of the low-noise amplifier main body circuit and the noise parameter expression of the low-noise amplifier main body circuit with the characteristic expression of a source end circuit respectively, and determining the parameter values of elements related to the source end circuit, wherein the source end circuit comprises a signal source and a matching circuit between the signal source and the low-noise amplifier main body circuit;
the matching of the input characteristic expression of the low-noise amplifier main circuit and the noise parameter expression of the low-noise amplifier main circuit determines parameter values of elements involved in the low-noise amplifier main circuit, specifically:
constructor expression fd(a,b)＝(Xin-Xopt)2+(Yin-Yopt)2Wherein a and b are both parameters of elements involved in the low noise amplifier main body circuit, XinAnd YinRespectively, a real part expression and an imaginary part expression of the input characteristic of the main circuit of the low noise amplifier, XoptAnd YoptRespectively a real part expression and an imaginary part expression of a noise parameter of the low noise amplifier main body circuit;
determining the current function expression f under the constraint of a preset currentdAnd (a, b) is the minimum, the parameter value corresponding to the parameter a of the element and the parameter b of the element.
2. A method for optimizing a low noise amplifier according to claim 1, wherein the current-function expression f is determined under the constraint of a predetermined currentdWhen (a, b) is minimum, the parameter values corresponding to the element a and the element b are specifically as follows:
presetting the value ranges of the element a and the element b, and determining the position of the element a and the element bScanning within the preset value range to determine a function expression fdContours of (a, b);
determining the functional expression fdMinimum contour among the contours of (a, b), at the function fdAnd determining the parameter value corresponding to the element a and the parameter value corresponding to the element b according to the coordinates corresponding to the points.
3. The method according to claim 1, wherein the input characteristic expression of the low-noise amplifier main circuit and the noise parameter expression of the low-noise amplifier main circuit each include a parasitic capacitance of an element in the low-noise amplifier main circuit.
4. The method as claimed in claim 1, wherein the low noise amplifier main body circuit comprises a transistor, a capacitor circuit and an inductor circuit, wherein the capacitor circuit is connected between the base and the emitter of the transistor, and the inductor circuit is connected between the emitter of the transistor and a reference ground.
5. A method as claimed in claim 1, wherein the matching circuit between the signal source and the main circuit of the low noise amplifier comprises: the low-noise amplifier comprises a signal source, a low-noise amplifier main body circuit, a capacitance circuit and an inductance circuit, wherein the capacitance circuit is arranged between the signal source and the low-noise amplifier main body circuit, one end of the inductance circuit is connected between the capacitance circuit and the low-noise amplifier main body circuit, and the other end of the inductance circuit is connected to a reference ground.
6. A method as claimed in claim 1, wherein the matching circuit between the signal source and the main circuit of the low noise amplifier comprises: the low-noise amplifier comprises a signal source, a low-noise amplifier main body circuit, a capacitance circuit and an inductance circuit, wherein the inductance circuit is arranged between the signal source and the low-noise amplifier main body circuit, one end of the capacitance circuit is connected between the signal source and the inductance circuit, and the other end of the capacitance circuit is connected to a reference ground.
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| Noise Figure and Impedance Matching in RF Cascode Amplifiers;Giovanni Girlando等;《IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: ANALOG AND DIGITAL SIGNAL PROCESSING》;20020806;第46卷(第11期);第1388-1396页 * |
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