Linkwitz–Riley filter

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Linkwitz-Riley filter
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Comparison of the magnitude response of the summed Butterworth and Linkwitz–Riley low-pass and high-pass 2nd-order filters. The Butterworth filters have a +3dB peak at the crossover frequency, whereas the L-R filters have a flat summed output.

A Linkwitz–Riley (L-R) filter is an

group delay
around the crossover frequency.

Common types

Second-order Linkwitz–Riley crossover (LR2, LR-2)

Second-order Linkwitz–Riley crossovers (LR2) have a 12 dB/octave (40 dB/decade) slope. They can be realized by cascading two one-pole filters, or using a

op-amp
.

Fourth-order Linkwitz–Riley crossover (LR4, LR-4)

Fourth-order Linkwitz–Riley crossovers (LR4) are probably today's most commonly used type of audio crossover. They are constructed by cascading two 2nd-order Butterworth filters. Their slope is 24 dB/octave (80 dB/decade). The phase difference amounts to 360°, i.e. the two drives appear in phase, albeit with a full period time delay for the low-pass section.

Eighth-order Linkwitz–Riley crossover (LR8, LR-8)

Eighth-order Linkwitz–Riley crossovers (LR8) have a very steep, 48 dB/octave (160 dB/decade) slope. They can be constructed by cascading two 4th-order Butterworth filters.

See also

References

  1. ^ Linkwitz, Siegfried H. (February 1976). "Active Crossover Networks for Noncoincident Drivers". Journal of the Audio Engineering Society. 24 (1): 2–8. Retrieved 2021-09-15.