Trinaural decoding equations for 3 speaker stereo matrix ?

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That's TriSonic (AES Preprint: "An Optimum Linear-Matrix Stereo Imaging System") with a matrix factor of 0.5.
Just a sub-version of Gerzon's energy-preserving decoder.


In Gerzon patent US5594800 the "energy preserving" requires parameter w to be 1. However with this value of w there is no solution of Gerzon coefficients to be found giving the same Trinaural coefficients.

Then we can say Trinaural is not "energy preserving" (in Gerzonian sense). And thus Trinaural cannot be a sub version of them.


I'm not sure do we need "energy preservation" ?


- Elias
 
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You can try it yourself :)
AcourateConvolver - AudioVero

Set it up like this:

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It is interesting to note that Gerzon energy preserving decoder for below 5kHz gives speaker signals for mono signal (L=1, R=1):

Ls = 0.577
Cs = 1.15
Rs = 0.577

so

Cs = 2*Ls = 2*Rs

which is the same ratio as Trinaural decoder for mono signal

Ls = 0.5
Cs = 1
Rs = 0.5

Cs = 2*Ls = 2*Rs


This means that for freqs below 5kHz they present the same phantom imaging for center panned sounds.


- Elias
 
Do you think it makes a perceptual difference worth pursuing compared to frequency independent decoder ?

On the other hand 5kHz is quite high freq. The difference of matrixes may depend on music type and freq content therein.

Also, if the tweeter is non-conventional e.g. ceiling firing configuration where high freqs are presented in more diffusive nature to the listener, the difference between matrixes may be small above 5kHz.


- Elias
 
Elias,
I have been reading your article on your website, and some of your posts here on DIYaudio for the past couple of days. The trinaural approach now pikes my interest, especially that I have already experimented with ambiophonics (binaural) and found the results interesting.
I currently have enough speakers and amps to give trinaural a try, but I am yet to find a simple (AKA cheap) line-level analog circuit schematic to mimic the setup you describe in your articles (L-0.5R, 0.5R+0.5L, R-0.5L).
Could a simple resistor divider network be enough? I know it won't be frequency dependent, but could be enough for an early experiment.
Sorry if i'm posting in the wrong thread, or if the question has already been answered.
Regards
Nick
 
I currently have enough speakers and amps to give trinaural a try, but I am yet to find a simple (AKA cheap) line-level analog circuit schematic to mimic the setup you describe in your articles (L-0.5R, 0.5R+0.5L, R-0.5L).

Would a speaker level circuit suit you ? You can manage with only 2 channel amplifier, if their outputs have a common ground.

Also the passive RC filter can be used if needed.

An externally hosted image should be here but it was not working when we last tested it.



- Elias
 
Thanks for the quick reply Elias.
I now have more questions, what would the values of Rps & Cps have to be for 8ohm drivers?
Or to be more general, what's the equation that dictate Rps & Cps?
Furthermore, only one of my amps in my stable has a common ground at the speaker output, and it's the amp that sounds the least good.
So, although I know that for most people, being able to derive trinaural audio for a single two channel amp is the better/easier/cheaper solution, in my specific case, a line-level circuit would be better suited.
Just wondering if there is such a passive circuit (or an easy active one) available at the moment.
 
Thanks for the quick reply Elias.
I now have more questions, what would the values of Rps & Cps have to be for 8ohm drivers?
Or to be more general, what's the equation that dictate Rps & Cps?
Furthermore, only one of my amps in my stable has a common ground at the speaker output, and it's the amp that sounds the least good.
So, although I know that for most people, being able to derive trinaural audio for a single two channel amp is the better/easier/cheaper solution, in my specific case, a line-level circuit would be better suited.
Just wondering if there is such a passive circuit (or an easy active one) available at the moment.


For 8 ohm drivers you may start experimenting with
Rps = 4.7 ohm
Cps = 4.7 uF

Roughly the function can be describes as:
With smaller values of resistor the center signal is attenuated more and side signals are boosted more.
With smaller values of capacitor the filtering action starts higher in frequency.


There is plenty of room for experimentations I believe, since every listening room is different including wall absorption, lateral dimensions and the listening distance.


Happy experimenting ! :)

- Elias
 
That will remain to personal taste I guess. Some people are more sensitive to subtle tonal coulouring etc, others are more after the most realistic spatial impression. Trinaural is more something for the second group, one could say. Also it may depend on the genre and style of music you play.

Lynn Olson describes how proper 3-ch more accurately reproduces tonal qualities in the C Ch vs. stereo's phantom C. I absolutely agree. I am Trinaural user since 2007 and never prefer 2ch.

I often switch back to 2-ch and quickly adapt, thinking Trinaural is unnecessary. Immediately upon switching back to Trinaural I notice how inferior and how mucked up was the tonal color of stereo's phantom C. You have to really know the true currency to recognize the counterfeit.

For Trinaural I increased L/R spacing 62% (Golden Ratio) beyond Cardas' 4/5th specification. Trinaural has wider stage and images extend farther vs. stereo. Audience members appear 75' beyond side and front walls.
 
http://www.diyaudio.com/forums/mult...y-pattern-stereo-speakers-30.html#post2731346

Bongiorno's Trinaural is the same as Miles' Optimum Linear Matrix with k=0.5 and also one of Gerzon's TriField variants, if I gather up things correctly.

With all due respect, James never disclosed Trinaural "algebraic processing" so there's nothing to "gather".

I know only one living person who likely has access to the formula and he has every reason James did to keep it secret.

Trinaural released early 2000s for $1500 and is now $2500. With average discount I consider it decent value or better.
 
...in your personal priority list of what sound reproduction needs to be capable of. That list might not be the same for everybody. My priorities are certainly different.



Your page says "center phantom image weak or non existent" for frequency band 1-20kHz. It doesn't say 6-20kHz!? The cutoff in the track I've used is 1.6kHz (not 1kHz as in your example), still I get a perfect phantom center.

You skipped over my questions about room and speaker characteristics in your listening test.

Your C image may indeed be perfect, no sarcasm. My best references are Crump's last CES (two large Soundlab stats, Blowtorch, hot as a mutha JC1s) and Kimber's best ever IsoMic never again to be displayed, eight floor to ceiling stats (2 per corner), proprietary IsoMic 4.0 DSD, oodles of Pass class A amps.

My center image in stereo equals about the best I've heard. After switching to Trinaural it is immediately apparent that the stereo image that seemed "perfect" a minute prior, has extreme tonal aberrations. In stereo the saxophone sounded more like a plastic toy well played. In Trinaural the glory of the instrument is crystal clear and obvious.

It's as subtle as a 2x4 to the thigh.
 
No question that 2-speaker stereo suffers from severe comb filtering for centered images - specifically, vocalists. I sometimes wonder if that's why some recordings have the vocalist a bit off-center.

The comb filtering noticeably changes the timbral balance of the singer - but then again, just about all recordings have a final mastering on a 2-speaker playback system, and the EQ is intended for 2-speaker playback (with a secondary cross-check for single-driver lo-fi mono playback). Just guessing here, but I'd imagine that vocals sound a bit more direct and "up-front" on a symmetric 3-speaker playback system, due to the absence of comb filtering for the centered singers.

Last sentence: Bingo!

Lynn, are you ever wrong?

I'm 75 minute drive NE of Salt Lake City. Anyone who wants their "sacral" 2-ch paradigm destroyed is welcome!
 
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With all due respect, James never disclosed Trinaural "algebraic processing" so there's nothing to "gather".

I know only one living person who likely has access to the formula and he has every reason James did to keep it secret.

Trinaural released early 2000s for $1500 and is now $2500. With average discount I consider it decent value or better.


I am also giving respect, but I cannot help noticing in Austria they are building DIY trinaural decoder
DIY Trinaural Decoder - HiFi Forum


I don't know how they are able to do it without knowing the matrix coefficients ?


However, it is very easy to measure the coefficients by test signal if one has access to the original Trinaural equipment. Afterall, it is said to be linear static matrix, right.
 
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I am also giving respect, but I cannot help noticing in Austria they are building DIY trinaural decoder
DIY Trinaural Decoder - HiFi Forum


I don't know how they are able to do it without knowing the matrix coefficients ?


However, it is very easy to measure the coefficients by test signal if one has access to the original Trinaural equipment. Afterall, it is said to be linear static matrix, right.

Excellent! Thanks for posting that! Now that I read this, I remember it indeed crossed my mind years ago that all one must do is input signals and check what happens at the output. Moderator please delete my stupid post above!

If the math is so basic and easy, why do Japanese mass market receivers not employ it? All their multi channel synthetics sound like crap. I suppose it just reflects how dumb they are.

What is estimated parts cost to make DIY at least equal to the original in pure sound quality? Also, is it easy to adapt the math to the digital domain? Is it possible that Dolby Pro Logic II properly implemented with state of the art digital technology can create a new digital benchmark? If so, strange indeed! DAC makers take note! Time to add value!

Jim Smith said he thought Trinaural C Ch quality was inferior to the L/R. I had to admit, after he said this, I though I noticed a disparity in quality. All three of my speakers are identical highly refined 2-way stand mounts crossed in Trinaural @ 80 Hz. Elevating the C Ch speaker 1.75" (no other change) seemed to completely cure the disparity.
 
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