In-Phase Crossover Network Design

Lipshitz SP, Vanderkooy J. In-Phase Crossover Network Design. In: AES Convention 74. Audio Engineering Society; 1983. Paper 2051. Available from: https://aes.org/publications/elibrary-page/?id=11713

@inproceedings{Lipshitz1983_11713,
  author = {Lipshitz, Stanley P. and Vanderkooy, John},
  title = {{In-Phase Crossover Network Design}},
  booktitle = {AES Convention 74},
  note = {Paper 2051},
  year = {1983},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=11713}
}

TY  - CPAPER
TI  - In-Phase Crossover Network Design
AU  - Lipshitz, Stanley P.
AU  - Vanderkooy, John
T2  - AES Convention 74
M1  - Paper 2051
PY  - 1983
DA  - 1983/10/06
UR  - https://aes.org/publications/elibrary-page/?id=11713
PB  - Audio Engineering Society
LA  - en
AB  - We consider crossover networks whose low- and high-pass outputs sum to unity magnitude, i.e., all-pass crossovers. Of these, the only known designs which have identical phase responses for both low- and high-pass sections, and thus provide optimal polar behavior, are the Linkwitz-Riley squared-Butterworth alignments. This is a most desirable property as the main lobe of the loudspeaker system's output then shows no tilt through the crossover region. We show that the Linkwitz-Riley alignments are particular cases of a whole class of all-pass crossovers satisfying this condition. The designer has at his disposal the denominator polynomial of the all-pass transfer function to which the complete crossover network is equivalent. To this extent he has the freedom to trade off frequency response (i.e., roll-off) parameters against phase response (i.e., group delay) parameters without compromising polar behavior. The Linkwitz-Riley alignments are the frequency-symmetrical cases. These new crossovers, being subtractively derived, represent a variation on the authors' delay-derived crossover configuration.
ER  -