Derivation of the Quasi-Butterworth 5 Alignments

Kreutz JJ, Panzer J. Derivation of the Quasi-Butterworth 5 Alignments. J Audio Eng Soc. 1994;42(5):315-324. Available from: https://aes.org/publications/elibrary-page/?id=6945

@article{Kreutz1994_6945,
  author = {Kreutz, Joseph J. and Panzer, Jörg},
  title = {{Derivation of the Quasi-Butterworth 5 Alignments}},
  journal = {Journal of the Audio Engineering Society},
  volume = {42},
  number = {5},
  pages = {315--324},
  year = {1994},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=6945}
}

TY  - JOUR
TI  - Derivation of the Quasi-Butterworth 5 Alignments
AU  - Kreutz, Joseph J.
AU  - Panzer, Jörg
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 42
IS  - 5
SP  - 315
EP  - 324
PY  - 1994
DA  - 1994/05/06
UR  - https://aes.org/publications/elibrary-page/?id=6945
PB  - Audio Engineering Society
LA  - en
AB  - The use of adequately designed second-order high-pass filters, such as Butterworth (B), Chebyshev (C), and sub-Chebyshev (SC) alignments, to improve the low-frequency response of fourth-order loudspeaker systems is well known. Characteristics of the filter and enclosure are derived fro the poles of the desired transfer function. In the case of quasi-Butterworth 5 (QB5) alignments, which actually are sixth-order alignments, this procedure leads to very complex equation systems. Because these were difficult to solve, they have generally been discarded. In this paper, a successful alternative method is introduced for calculating QB5 alignment parameters, and some comparisons with analogous B, C, and SC alignments are given. Systems using QB5 alignments are characterized by a small diaphragm displacement, a small enclosure, and a high power handing capacity.
ER  -