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Using the binomial transformer to approximate the Q distribution for maximally flat quarter-wavelength-coupled filters

Publication ,  Journal Article
Drozd, JM; Joines, WT
Published in: IEEE Transactions on Microwave Theory and Techniques
1998

With the binomial transformer as a basis, a closed-form expression is derived for the Q distribution used to design maximally flat quarter-wavelength-coupled transmission-line filters. The derived expression is shown to be valid for filters with small values of total Q. Also, an existing Q-distribution expression derived from the lumpedelement prototype (LEP) circuit is discussed, and is shown to be valid for filters with large values of total Q. By combining the derived binomial transformer Q distribution and the LEP Q-distribution expressions, a piecewise closed-form Q-distribution expression is developed, which is applicable over a wide range of total Q values. Index Terms-Bandpass filters, binomial transformer, Butterworth filters, maximally flat magnitude filters, quarter-wavelength-coupled filters, Q distribution. © 1998 IEEE Publisher Item Identifier S 0018-9480(98)07236-6.

Duke Scholars

Published In

IEEE Transactions on Microwave Theory and Techniques

DOI

ISSN

0018-9480

Publication Date

1998

Volume

46

Issue

10 PART 1

Start / End Page

1495 / 1500

Related Subject Headings

  • Networking & Telecommunications
  • 5103 Classical physics
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
 

Citation

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Drozd, J. M., & Joines, W. T. (1998). Using the binomial transformer to approximate the Q distribution for maximally flat quarter-wavelength-coupled filters. IEEE Transactions on Microwave Theory and Techniques, 46(10 PART 1), 1495–1500. https://doi.org/10.1109/22.721153
Drozd, J. M., and W. T. Joines. “Using the binomial transformer to approximate the Q distribution for maximally flat quarter-wavelength-coupled filters.” IEEE Transactions on Microwave Theory and Techniques 46, no. 10 PART 1 (1998): 1495–1500. https://doi.org/10.1109/22.721153.
Drozd JM, Joines WT. Using the binomial transformer to approximate the Q distribution for maximally flat quarter-wavelength-coupled filters. IEEE Transactions on Microwave Theory and Techniques. 1998;46(10 PART 1):1495–500.
Drozd, J. M., and W. T. Joines. “Using the binomial transformer to approximate the Q distribution for maximally flat quarter-wavelength-coupled filters.” IEEE Transactions on Microwave Theory and Techniques, vol. 46, no. 10 PART 1, 1998, pp. 1495–500. Scival, doi:10.1109/22.721153.
Drozd JM, Joines WT. Using the binomial transformer to approximate the Q distribution for maximally flat quarter-wavelength-coupled filters. IEEE Transactions on Microwave Theory and Techniques. 1998;46(10 PART 1):1495–1500.

Published In

IEEE Transactions on Microwave Theory and Techniques

DOI

ISSN

0018-9480

Publication Date

1998

Volume

46

Issue

10 PART 1

Start / End Page

1495 / 1500

Related Subject Headings

  • Networking & Telecommunications
  • 5103 Classical physics
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering