This thread is only for the discussion of passive crossovers, active that can be implemented
as passive or to explain some theory is fine but otherwise start another thread about them.
There have been several studies on the audibility of the phase distortions typically found
in multi-way loudspeakers that usually find, in typical reverberant home rooms they are
not audible. Most studies state that the distortions are not audible. One study found
that simple transient sounds such as banging blocks through headphones exhibited a
minor changer in timbre. It's probably been 20 years since I read these and I'll try to find
a list of references - I posted them on the Bass List in the mid 1990s. Here is one:
Lipshitz, Stanly P., Pocock, Mark, and Vanderkooy, John, "On the Audibility of Midrange Phase Distortion in Audio Systems,' J. Audio Eng. Soc., Vol. 30, No, 9, Sept. 1982, pp 580-595.
See also:
Audibility of Phase Distortion
Please start a new thread for further discussion on phase audibility - not here.
I'm interested in passive solutions that provide linear phase simply to understand the methods
and theory.
I've followed the literature closely from about the mid 1970s to 2000, less so since then,
The obvious solution is first order but they have many disadvantages. Then we had filler
driver solutions that I mentioned many years ago in this thread:
https://www.diyaudio.com/forums/multi-way/71824-square-waves-4.html#post6074371
"A Novel Approach to Linear Phase Loudspeakers Using Passive Crossover Networks" Erik Baekgaard May 1977
I thought that this was invented by Baekgaard but then found this reference to a 1967
paper: Kido-Yamanaka crossover was first described by Bunkichi Yamanaka of Matsushita Corp. (Panasonic) in 1967.
A Unique Loudspeaker Crossover Design with Waveform Fidelity
Most simple 1st order systems have horrible off axis response.
Another approximate solution was proposed by John Bau and released as a commercial
product, the SPICA TC-50, in 1983. Bau states that he started with a 2nd order Bessel low-pass
and then found that a first order high pass with delay led to an approximate linear phase
result. This site offers a lot of info but not on the theory:
Spica TC-50 Product Information, The Spica Speaker Enthustiast
I have owned these speakers and they have very poor off axis response. This type of
solution would benefit greatly from coincident drivers.
Jeff B. hints at a third order solution with overlap, also as an approximate
solution in this thread at the PE Tech Talk Forum:
Third Order Transient Perfect Passive Crossover -
Techtalk Speaker Building, Audio, Video Discussion Forum
No design equations are provided and I've not seen polar plots for the off axis response.
DDF claims here that he has been promoting this type of solution since the mid 1990s
but he also has not provided design equations:
Third Order Transient Perfect Passive Crossover -
Techtalk Speaker Building, Audio, Video Discussion Forum
DDF makes this comment that might offer a bit more insight:
It sounds like Jeff locked onto a crossover target I know I locked into myself a long time
ago (and as did George Short at North Creek) as the best compromise for most system designs, and one I've tried to socialize over the years:
- sloped baffle
- soft knee thirds with staggered xover frequencies and mini-ripple response through xover
Benefits:
- flat response on axis through xover, but one easily tuned if a slight dip or bump is desired
- high out of band attenuation
- low complexity and parts count
- soft knees reduce tweeter "flare" off axis and provide better driver integration
- sloped baffle allows the power response to more closely mimic the on axis through xover
- low GD variation over frequency
- it sounds bloody good!
DDF suggests that his design is the same as Jeff B's but I read soft knee 3rd order for DDF
and overlapped 3rd order for Jeff B.
Jeff B. confirms the above where he writes:
"Then your crossover and mine are quite different afterall. John was correct when he speculated that I followed a similar path to his QTP 2nd Order filter. What I did doesn't match what you have described above though. "
And also (I don't know who Vance is) post #113:
"You described Vance's spread 3rd order as an example which results in two different Fc values that further separate the lowpass and highpass sections resulting in a more in-phase -6dB crossover point; something like a Linkwitz-Riley response with ripple. Mine on the other hand goes in the opposite direction where the lowpass and highpass are not spread but overlapped with each other, then the transfer functions are modified so that they sum to a flat response. The overlap creates the minimum phase summation."
Neither has provided design equations so I'm not sure about this if anyone can provide
them that would be helpful. I could experiment in the simulator but equations would be better.
John K. Wrote about a QTP second order network here that is on the Wayback machine:
http://web.archive.org/web/20050222114023/http://www.geocities.com/kreskovs/Quasi-transientP.html