Definition of a matrix idling cut open a non-uniform line when you change the deduction in one of the poles

Аuthors

Kulikov S. V.¹, Shcerbakova V. M.¹, Frolov A. V.², Vikulova Y. M.^3*

1. Mlitary spaсe Aсademy named after A.F. Mozhaisky, Saint Petersburg, Russia
2. Higher Military School of Air Defense, 28, Moskovsky avenue, Yaroslavl, 150001, Russia
3. Group of Companies «RTI», 10/1, 8 Marta str., Moscow, 127083, Russia

*e-mail: yvikulova@oaorti.ru

Abstract

Determination of properties of inhomogeneous lines for use in various filters.
Is the rationale for the method of determining the matrix of idling and the equivalent circuit for an inhomogeneous segment of a line obtained from the uniform by deducting in one of the poles to study the properties of the current segment.
The equivalent circuit for the input resistance of this chetyrehpolozyj in idle in forward and reverse directions will represent the series connection of the cut of the uniform line length and paralelnogo circuit without losses. The appearance in the equivalent circuit with a negative capacitance and inductance from the physical point of view can be explained by considering a transition from segment a heterogeneous line to infinite to length non-uniform line and back.
Since all the resulting contain, as the longitudinal elements parallel to the contours without loss, we can assume that such segments inhomogeneous lines have filtering properties.Oscillations with a frequency close to ω_П(in the vicinity of which is the «outrage» spectra), the load did not arrive, and for large misalignment from the resonant frequency pass through without isogeny, i.e. those segments of the inhomogeneous lines have the properties of band-limiting filters, and with a single locking strip in the vicinity of the resonance frequency with no spurious rejection bands; at multiple frequencies.
Thus, to build a narrow-band band-band-stop filter with a single band locking can be used approach to the calculation of resonator filters – the inclusion of heterogeneous cut lines on the passage, in which the formation of the desired characteristics of the working attenuation is due local reflections resulting from impedance changes in the coordinate.

Keywords:

inhomogeneous line, matrix idling, filters, impendans

References

1. Berdyshev V.P., Sinitsyn A.V. Razvitie metodov sinteza I postroeniya filꞌtruyuschikh ustroistv SVch na neodnorodnykh liniyakh (The development of methods for the synthesis and construction of filtering devices of ultranigh frequencies in inhomogeneous lines), Tver, VU PVO, 2001. Chastꞌ 1. – 184 p. 2002. Chastꞌ 2. – 218 p.

2. Tikhonov R.S. Trudy MAI, 2015, no. 79, available at: http://trudymai.ru/eng/published.php?ID=55772

3. Litvinenko O.N., Soshnikov V.I. Teoriya neodnorodnykh linii i ikh primenenie v radiotekhnike (The theory heterogeneous lines and their applications in radio engineering), Moscow, Sovetskoe radio, 1964, 536 p.

4. Litvinenko O.N., Soshnikov V.I. Kolebatel’nye sistemy iz otrezkov neodnorodnykh linii (The oscillating system of the segments of non-uniform lines), Moscow, Sovetskoe radio, 1972, 144 p.

5. Goncharov V.A. Trudy MAI, 2012, no. 52, available at: http://trudymai.ru/eng/published.php?ID=29555

6. Mazepova O.I., Meshchanov V.P., Prokhorova N.I., Fel’dshtein A.L., Yavich L.R. Spravochnik po elementam poloskovoi tekhniki (Reference elements of strip technique), Moscow, Svyaz’, 1979, 336 p.

7. Vol’man V.I. Spravochnik po raschetu i konstruirovaniyu SVCh poloskovykh ustroistv (Guide to calculation and design of ultra-high frequency stripline devices), Moscow, Radio i svyaz’, 1982, 328 p.

8. Alekseev L.V., Znamenskii A.E., Polyakov V.S. Fil’try i tsepi SVCh (Filters and chain ultra-high frequencies), Moscow, Svyaz’, 1976, 248 p.

9. Vai Kaichen’. Teoriya i proektirovanie shirokopolosnykh soglasuyushchikh tsepei (Theory and design of broadband matching circuits), Moscow, Svyaz’, 1979, 287 p.

10. Korn G., Korn T. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov (Handbook on mathematics for researchers and engineers), Saint Petersburg, Lan’, 2003, 832 p.

11. Matei D.L., Yang L., Dzhons E.M.T. Fil’try SVCh, soglasuyushchie tsepi i tsepi svyazi (Wide frequency matching circuit and communication circuit), Moscow, Svyaz’, 1971, vol. 1, 439 p.

12. Matei D.L., Yang L., Dzhons E.M.T. Fil’try SVCh, soglasuyushchie tsepi i tsepi svyazi (Wide frequency matching circuit and communication circuit), Moscow, Svyaz’, 1972, vol. 1, 494 p.

13. Bode G. Teoriya tsepei i proektirovanie usilitelei s obratnoi svyaz’yu (Circuit theory and design feedback amplifiers), Moscow, IL, 1948. 641 p.

14. Feldstein A.L., Kaz B.M. Optimal’nyi sintez ustroistv SVCh s T-volnami (Optimal filter frequencies with t waves), Moscow, Radio i svyaz’, 1984, 288 p.

15. Fel’dshtein A.L., Yavich L.R., Smirnov V.P. Spravochnik po elementam volnovodnoi tekhniki (Reference element for waveguide devices), Moscow, Sovetskoe radio, 1967, 651 p.

16. Karataev O.G. Problemy elektromagnitnoi sovmestimosti (Problems of electromagnetic compatibility), Moscow, Znanie, 1988, 62 p.

17. Shvarts N.Z. Lineinye tranzistornye usiliteli SVCh (Linear transistor amplifiers ultra-high frequencies), Moscow, Sovetskoe radio, 1980, 367 p.

18. Shneider N. Dispersionnye kharakteristiki nesimmetrichnykh poloskovykh linii (Ispersion characteristics are not symmetrical strip line), Moscow, TIIER, 1972, 356 p.

19. Lanne A.A. Potentsial’nye kharakteristiki lineinykh fil’truyushchikh tsepei (Potential characteristics of the linear filter chains), Moscow, Svyaz’, 1972, 494 p.

20. Carlin H.J., Civalleri P.P. An Algorithm for Wideband Matching Using Wiener – Lee Transforms, IEEE Trans.on Circuits and Systems, 1992, vol. 39, no. 7, pp. 497 – 504.

21. Dedieu H., Dehollain C. and oth. A new Method for Solving Broadband Matching Problems, IEEE Trans.on Circuits and Systems, 1994, vol. 9, no. 9, pp. 561 – 571.

Download