DE1801895C - Bode equalizer - Google Patents

Description

The bridged T-links of the auxiliary quadrupoles All-pass links in the form of cross links or equivalent structures can also be connected downstream will.

These measures give an equalizer which is always matched on both sides and in which the basic attenuation is considerably reduced in comparison with known arrangements if the basic attenuation falls below certain values, without additional expenditure on coils and capacitors. In particular, the Bode equalizer can be designed so that the standardized fixed resistances are equal to n times the product of the basic attenuation factor reduced by one times the basic attenuation factor reduced by one («- I) times the basic attenuation factor reduced by one (2 η - l) -fold basic attenuation factor and that the normalized wave resistance • of the auxiliary quadrupoles in the bridging branch üL-I are »r times the basic attenuation factor: r.jl the basic attenuation factor reduced by one,» ». ■ divided by the one reduced (2n - 1 (-fold circular damping factor.

By designing the arrangement in this way, the greatest possible stroke proportionality and the best possible symmetry of the corresponding position and negative strokes achieved.

Another solution to the above-mentioned object is that in a Bode equalizer ras a bridged T-link, in which the ÜberfTÜckungsimpedanz from the parallel connection of an f east resistor and the input resistance of a i>. rush correct resistance, with variable terminating resistance provided auxiliary quadrupole and the shunt / line impedance from the series connection of another Fixed resistance and the input resistance of another wave resistance correct, with variable Terminating resistor provided auxiliary quadrupole exist, denrt is designed that the two auxiliary quadrupoles have different transfer factors that the normalized fixed resistance of the bridging impedance equal to the product of the basic attenuation factor reduced by one and the basic attenuation factor increased by three by three minus the basic attenuation factor, that the normalized fixed resistance in the cross two The reciprocal of the resistance to the normalized fixed resistance in the bridging branch is that the normalized wave resistance of the auxiliary quadrupole in the bridging branch is equal to the product of the reduced by one Basic attenuation factor and the basic attenuation factor increased by three, divided by twice Basic damping factor, and that the normalized wave resistance of the auxiliary quadrupole in the shunt branch reciprocal to the normalized wave resistance of the auxiliary quadrupole is in the bridging branch.

On the basis of the exemplary embodiments according to FIGS. 1 to 3 the invention is explained in more detail.

1 shows a Bode equalizer according to the invention with double attenuation expansion (n = 2) and mutual adaptation. The equalizer consists of a bridged T element in which the bridging resistance is divided into two two-pole connections connected in parallel, each of which consists of a series connection of a fixed resistor R and the input resistance of an auxiliary quadrupole FP1 or FPIII.

In the special exemplary embodiment, the auxiliary quadrupoles themselves are made up of bridged T-links, the series branch resistances of which are denoted by W _Ol and W ₀ , respectively. They are terminated with variable resistors W ₁ and W _1. The Qiuerzweig of the bridge T-link consists of two poles lying in series, each of which in turn consists of one

Fixed resistance _ή and a par «;

K

Auxiliary quadrupole FPII or FPIV exists, the dual to respective auxiliary quadrupole of the series branch is dimensioned and series branch resistances

or.

^K oi

M) 2

as well as a variable terminating resistor

1, 1

or. -T ₇ , -

W ₁

having. ^v

The resistances R are measured as shown below:

R = 2

(q ₀ -

40

45

5 ° Here q _{0 is} equal to e °°, where a _{Q means} the general damping. q ₀ is the basic damping factor. The series branch resistances of the auxiliary quadrupoles W _Oi , W _Oi have the following value:

The series arm resistances in the auxiliary quadrupoles of the shunt arm are then correspondingly dual, namely

or ■

dimensioned.

The following equation then results for the transfer factor:

H ₀

O ₁ O ₂

, ₀

I -H ₀ O ₁

o + J)

W ₀ ,

It was assumed that the transmission factor is as exactly as possible that of the chain connection corresponds to two Bode equalizers, the transmission factor for this being specified as follows can be.

kidneys. The transfer factor results from dci the following formula:

e ^R "= % ■

{1+

- ^2g

With

and

The result for the damping stroke is e "= i / o

Ov -

- 1

W ₀

a _h - Ci ₀ = 2Re

CW ₀₁ g _t F, (/)]

2, + 1

2 μ + I

2/1 + 1

if η- \ auxiliary quadrupoles are terminated with the coil resistor.

F i g. 3 shows a circuit with which the input; The above-mentioned object can also be achieved. The bridging resistance is au; a fixed resistor R ₁ and an auxiliary vicar KPI lying parallel to it, while the shunt branch resisted from the series connection of the fixed resistor

where a _{h is} the operational _{damping, O 0 is} the basic damping standesR ₂ and the auxiliary quadrupole KPII is built up. The dimensioning of the standardized fixed resistances

F i g. 2 shows a basic circuit diagram for / i-pretty equalization of the standardized series branch resistances of the auxiliary distortion, where the resistances R, as below, result from vicrpole and the transfer factor The following are to be dimensioned: using the following formulas:

κ -

_ U / o- D -Uh + 3)

The series branch resistances of the auxiliary quadrupoles in the bridging branch then result as follows:

₀ - \) q ₀

(7) 35

The series branch resistances of the auxiliary quadrupoles in the shunt branch are again correspondingly dual to dimcnsio- '

e * =

30th ^2e ') (1 - ^{1 3} - Ch R ₂ - 3 - Qo W _n , - ' U / o-D- (ίο + 3) 35 W _n -, - (f / o - I) (<7o + 3) 2 <7i
2 </ ₍ 0
) H ₀ O ₂ C- ² -) fao-I) · ' (<7o + 3)

W ₀ =

go- '

^) (1 + W ₀ ^ ₂ C '- * ¹ ) + 4W ₀ Ao ₂ C
45

and ß. = ^W r ~ ^ Qv

1 sheet of drawings

Claims (4)

5. Bode equalizer according to one of the preceding claims: deQ claims, characterized in that the 1. Bode equalizer from a bridged bridged T-sections of the auxiliary quadrupoles AH-T-Glitd, in its bridging and cross branch pass members, in particular in the form of crosses at least one with variable final 5 elements are connected downstream. resistance provided wave resistance correct
Auxiliary quadrupole is arranged, characterized in that the bridging impedance of the series branch is divided into more * re (n) parallel-connected two-poles, each consisting of io the series connection of a fixed resistor (R) The present invention relates to a Bode equalizer, and the input resistance of a Hilfsvierpols a bridged T-element, with in the Uber- (FPI ... VPn) connected to a variable briickungs- and lateral branch at least one respective Resistance (W ₁ ... W ₁₁ ) is completed, variable terminating resistor provided wave stand and that the shunt arm impedance is arranged dual to the 15 resistance-correct auxiliary quadrupole.
bridging impedance is (Fig. 1 and 2). To equalize the frequency-dependent damping 2. Bode equalizer according to claim 1, characterized in that the auxiliary four-pole systems (FPI ... required that several EnI \ Pn connected in a chain) are designed as over «1 bridged T-members, with distortion different frequency dependencies in which the bridging resistance and the 20 of its damping functions are each proportional to the shunt resistance dual to each other (Fig. 1 can be set. Such equalizers are and 2). more commonly implemented as a Bode equalizer. A post 3. Bode equalizer according to claim 2, characterized part of this method is that each individual is characterized in that the standardized fixed counter equalizer causes a basic attenuation, the minimum (R) are equal to n times the product of the 25 least as large like the maximum damping stroke reduced by one basic damping factor times its equalizer curve. Bode equalizers are e.g. B. from the (n - l) -fiachen base reduced by one known from German patent specification 881 523,
attenuation factor, divided by the reduced by one A Bode equalizer is formed by a bridged (2/1 - I) -fold basic attenuation factor T circuit; as bridging resistance and that the normalized wave resistance. (W ₀ ) 30 and the input of the auxiliary quadrupoles in the U ^ bridge serve as a transverse resistance. The branch equal to resistances terminated with real resistances is / r times the basic attenuation factor multiplied by the auxiliary poles. The transmission behavior of the basic attenuation factor reduced by one, auxiliary quadrupoles determines the frequency response of the split by the (Zn -I) distortion attenuation reduced by one, while the stroke is set by the final double basic attenuation factor [Fig. 2; equations . In general (6) and (7)]. mean those in the cross branch and in the bridging 4. Bode equalizer from a bridged branch of the T-circuit lying auxiliary quadrupole to T-element, where the bridging impedance is dual from each other. the parallel connection of a fixed resistor and such an equalizer is for example from the the input resistance of a wave resistance 40 German Auslegeschrift 1 255 143, in particular correct with a variable terminating resistor, Fig. Ic, known. With this equalizer, however, a see auxiliary quadrupole and the shunt arm impedance of the square root of the frequency of proportional hazards can be obtained from the series connection of a further fixed resistance attenuation path, which through And the input resistance one, the skin effect caused cable attenuation. Lower waves with the correct resistance with variable 45 are also permitted, since this cable attenuation is over Terminating resistor provided auxiliary quadrupole also increases the frequency according to a square root function stand, characterized in that the two runs forward. The setting of several different Auxiliary quadrupoles (FPI and FPII _{; however, there is a} different independent frequency response have transfer factor that the normalized with this arrangement is not possible. Fixed resistance (R 1) of the bridging impedance 50 The object of the present invention is to provide a the same is to create the product of the Bode equalizer arrangement reduced by one, which Basic damping factor and increased by three, two or more frequency responses by adding increased basic damping factor, divided by three positions of two or more freely adjustable, minus the basic attenuation factor, that the one which is separated from one another and is more proportional to one another mated fixed resistance (R 2) in the transverse branch to generate 55 partial strokes. The reciprocal of the normalized fixed resistance The Bode equalizer is set according to the Ernndu "" i (Rl) is in the bridging branch; that the nor- designed in such a way that the bridging impedance mated wave resistance (W ₀₁ ) of the auxiliary quadrupole of the series branch in several parallel-connected (FPI) in the bridging branch is the same as the pro two-pole is divided, each from the series from the basic attenuation circuit of a fixed resistor, reduced by one, and the input factor and the basic resistance of an auxiliary quadrupole, increased by three, which is damping factor divided by twice the changeable resistance is completed Basic attenuation factor and that the normalized and that the shunt arm impedance is dual to the over- Characteristic impedance (W ₀₂ ) of the auxiliary quadrupole (FPII) is bridging impedance. in cross-wise reciprocal relation to the normalized shaft 65 The auxiliary quadrupoles can be used as bridged resistance (W ₀₁ ) of the auxiliary quadrupole in the over- T-links, in which the over- bridging branch is [Fig.3; Equations (9) to bridge resistance and the shunt arm resistance (12) 1 are dual to one another.