CN103219965A - Linear phase loss-free matching network implementation method - Google Patents

Abstract

The invention provides a linear phase loss-free matching network implementation method. The method can achieve an optimal, lumped and reciprocal loss-free matching network so that an arbitrary passive lumped load can be matched with a resistive power supply, and meanwhile, switching power gaining characteristics which are supplied in advance are achieved. A linear phase problem of bandwidth and a matched network is effectively solved, and the phenomenon that the load can obtain the maximum switching power is ensured.

Description

A kind of linear phase does not have consumption matching network implementation method

Technical field

The present invention relates to a kind of linear phase and do not have consumption matching network implementation method.

Technical background

Along with the development of modern communication, radar and other electronic system, running into maximum problems is exactly about the power delivery problem, and this also is an attractive especially problem in the network theory, in communication equipment and sorts of systems.Do not have the consumption matching network and use very extensively, so the quality of its good and bad directly decision product is to the research of not having the consumption matching network with to produce always be various countries' attention.Because the development of computer technology, solid-state technique, material industry, the development of matching network also steps on a new stage, and towards high accuracy, low-power consumption, the small size direction develops.Simultaneously along with the improving constantly of digital communication system clock frequency, and the increase of digital network aspect speed and bandwidth, matching network had the passband of broad and the delay character of linear phase also proposes higher requirement.And utilizing the matching network of conventional method design to be faced with bandwidth and the conflicting problem of linear phase, the present invention adopts a new matching network structure mainly based on this point, adopts a kind of new method to realize a kind of broadband, the matching network of linear phase.

Best in order to obtain, nothing consumption matching network lump and reciprocity, a passive arbitrarily lumped loading and resistive power supply are complementary, the conversion power gain characteristic that realization is simultaneously given in advance, utilize above-mentioned formula, effectively overcome the linear phase problem of bandwidth and matching network, can proof load obtain maximum transfer power.

Summary of the invention

The invention provides a kind of linear phase and do not have consumption matching network implementation method, this method can realize a best, nothing consumption matching network lump and reciprocity, a passive arbitrarily lumped loading and resistive power supply are complementary, the conversion power gain characteristic that realization is simultaneously given in advance, effectively overcome the linear phase problem of bandwidth and matching network, can proof load obtain maximum transfer power.

The technical scheme concrete steps that the present invention proposes comprise:

At first given conversion power gain characteristic G (ω ²), and satisfy 0≤G (ω ²)≤1;

Further, according to given impedance z _l(s), calculate its real part r (s) and A (s), F (s); Wherein

$A\left(s\right)=\underset{i=1}{\mathrm{\Π}}\frac{s-s_i}{s+s_i},$ F(s)＝2r(s)A(s) (1)

Further, by conversion power gain characteristic G (ω ²), ρ (s) ρ (s)=1-G (s ²), can draw ρ (s);

Not having consumption matching network terminal impedance is

$z_2\left(s\right)=\frac{F\left(s\right)}{A\left(s\right)-\mathrm{\ρ}\left(s\right)}-z_l\left(s\right)---\left(2\right)$

According to z ₂(s) can realize not having the consumption matching network, for the load of RC parallel connection type, the trapezoidal matching network parameter of its LC can be drawn by following formula:

x＝RCω _c (3)

$\mathrm{\δ}=1-\frac{2\sin X_1}{x}---\left(4\right)$

$X\left(m\right)=\frac{\mathrm{m\π}}{10}---\left(5\right)$

$L_{2m}{C}_{2m-1}=\frac{4\sin X_{(4m-3)}\sin X_{(4m-1)}}{(1-2\mathrm{\δ}\cos X_{(4m-2)}+{\mathrm{\δ}}^2){\mathrm{\ω}}_c^2}---\left(6\right)$

$L_{2m}{C}_{2m+1}=\frac{4\sin X_{(4m-1)}\sin X_{(4m+1)}}{(1-2\mathrm{\δ}\cos X_{\left(4m\right)}+{\mathrm{\δ}}^2){\mathrm{\ω}}_c^2}---\left(7\right)$

Wherein, ω _cBe three dB bandwidth angular frequency (cut-off angular frequency).

Utilize above-mentioned algorithm and formula, finally can determine each component value of matching network.

Technique effect of the present invention: the above-mentioned linear phase broadband that the present invention proposes does not have consumption matching network design technology project, can obtain conversion power gain by calculating, the designer can design best Broadband Matching parameter according to actual needs to satisfy actual requirement, this method tradition has not only been saved the matching network design cycle based on the method for designing of engineering experience, and the circuit exponent number is less, and show as linear phase, can obtain the better matching effect.

Description of drawings

Fig. 1 is a matching network schematic diagram among the embodiment;

Fig. 2 is the matching network schematic diagram that adds after the all-pass section;

Fig. 3 is the amplitude-frequency characteristic figure of matching network among the embodiment;

Fig. 4 is the linear phase-frequency characteristic figure of matching network among the embodiment;

Embodiment

Embodiment:

Do not have consumption matching network technical requirement: three dB bandwidth is 20MHz, the load of RC parallel connection type; Resistance R L is 75 Ω, and capacitor C L is 300pF, realizes 5 rank Butterworth transfer power characteristics of maximum possible DC current gain.

Utilize above-mentioned algorithm, choosing RC parallel connection type load resistance RL is 75 Ω, and capacitor C L is 300pF, and designed matching network as shown in Figure 1; Add the single order all-pass section, and then by which couple (the transformation coupling coefficient is 1.35: 1), its matching network of all-pass section band tap inductance (K=1) as shown in Figure 2; Its amplitude-frequency and linear phase-frequency characteristic are respectively as Fig. 3, and be shown in Figure 4;

As can be seen from Figure 3, cutting upper frequency is 20MHz, and its amplitude characteristic is good, and stopband attenuation is big; As can be seen from Figure 4, designed matching network shows the favorable linearity phase characteristic;

This matching network successfully is used for certain broadband channel, and its cost is low, simple in structure, size is little, handling ease, reliability height, easy to connect and effect is obvious.

Claims (2)

1. a linear phase does not have consumption matching network implementation method, it is characterized in that: this method at first is that conventional method is improved, set up the topology of networks model, the best of realization, nothing consumption matching network lump and reciprocity is complementary a passive arbitrarily lumped loading and resistive power supply, realizes the conversion power gain characteristic of giving in advance simultaneously, effectively overcome the linear phase problem of bandwidth and matching network, can proof load obtain maximum transfer power.

2. method according to claim 1 is characterized in that implementation step comprises:

(1). at first given conversion power gain characteristic G (ω ²), and satisfy 0≤G (ω ²)≤1;

(2). further, according to given impedance z _l(s), calculate its real part r (s) and A (s), F (s); Wherein

$A\left(s\right)=\underset{i=1}{\mathrm{\Π}}\frac{s-s_i}{s+s_i},$ F(s)＝2r(s)A(s)

(3). further, by conversion power gain characteristic G (ω ²), ρ (s) ρ (s)=1-G (s ²), can draw ρ (s);

(4). not having consumption matching network terminal impedance is

$z_2\left(s\right)=\frac{F\left(s\right)}{A\left(s\right)-\mathrm{\ρ}\left(s\right)}-z_l\left(s\right)$

(5). according to z ₂(s) can realize not having the consumption matching network, for the load of RC parallel connection type, the trapezoidal matching network parameter of its LC can be drawn by following formula:

x＝RCω _c (1)

$\mathrm{\δ}=1-\frac{2\sin X_1}{x}$

$X\left(m\right)=\frac{\mathrm{m\π}}{10}$

$L_{2m}{C}_{2m-1}=\frac{4\sin X_{(4m-3)}\sin X_{(4m-1)}}{(1-2\mathrm{\δ}\cos X_{(4m-2)}+{\mathrm{\δ}}^2){\mathrm{\ω}}_c^2}---\left(4\right)$

$L_{2m}{C}_{2m+1}=\frac{4\sin X_{(4m-1)}\sin X_{(4m+1)}}{(1-2\mathrm{\δ}\cos X_{\left(4m\right)}+{\mathrm{\δ}}^2){\mathrm{\ω}}_c^2}---\left(5\right)$ Wherein, ω _cBe three dB bandwidth angular frequency (cut-off angular frequency).

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