I've simulated the diffuse field response for the Velan design using
the A-to-B matrix I gave earlier.  The analysis and graph are at

  http://www.ai.sri.com/ajh/ambisonics/velan_sim_dfr.html

Note that in practice these simulations are only a starting point for
EQ.  Real capsules deviate significantly from the idealized math
models used here.  In addition, the capsules shadow each other and the
space in the middle acts as a resonant cavity.  So you really have to
measure the finished array and then design the EQ.

--
Aaron Heller (hel...@ai.sri.com)
Menlo Park, CA  US



On Sun, May 27, 2012 at 7:38 PM, umashankar mantravadi
<umasha...@hotmail.com> wrote:
>
> dear aaron thank you umashankar
>
> i have published my poems. read (or buy) at http://stores.lulu.com/umashankar
>  > Date: Sat, 26 May 2012 14:09:28 -0700
>> From: hel...@ai.sri.com
>> To: sursound@music.vt.edu
>> Subject: Re: [Sursound] microphone epiphany ?
>>
>> One set of gains that works is
>>
>>     0.2357    0.2357    0.2357    0.2357    0.2357    0.2357
>>     1.0000   -1.0000    0.0000    0.0000    0.0000    0.0000
>>     0.0000    0.0000    1.0000   -1.0000    0.0000    0.0000
>>          0         0         0         0    1.0000   -1.0000
>>
>> I put a write up on how to derive those at:
>>
>>   http://www.ai.sri.com/ajh/ambisonics/umashankar_velan.html
>>
>> --
>> Aaron (hel...@ai.sri.com)
>> Menlo Park, CA  US
>>
>>
>> On Sat, May 26, 2012 at 12:41 PM, umashankar mantravadi
>> <umasha...@hotmail.com> wrote:
>> >
>> > assuming all six capsules have same gain, and all are contributing to W, 
>> > how much should be the attenuation? umashankar
>> >
>> > i have published my poems. read (or buy) at 
>> > http://stores.lulu.com/umashankar
>> >  > Date: Sat, 26 May 2012 18:25:04 +0200
>> >> From: netti...@stackingdwarves.net
>> >> To: sursound@music.vt.edu
>> >> Subject: Re: [Sursound] microphone epiphany ?
>> >>
>> >> On 05/26/2012 04:51 PM, Augustine Leudar wrote:
>> >> >> Hi Michael,
>> >> >> thanks for the reply - there is no doubt Ive missed something !
>> >> >> I am aware of the need for W coordinate and have included it in my 
>> >> >> encoder
>> >> >> as instructed although I have to admit I am still not clear on its
>> >> >> function  - but my question specifically relates to the information 
>> >> >> gained
>> >> >> from the 3 fig of eight patterns gained form a mic design such as this 
>> >> >> one :
>> >> >>
>> >> >> http://www.shapeways.com/model/143678/velan-140-internals.html
>> >> >>
>> >> >> Am I right in thinking the W component gives you enhanced distance
>> >> >> information for a given sound source ?
>> >>
>> >> we cannot hear absolute phase, so if you are listening to a figure of
>> >> eight microphone, there is no way to tell whether the sound you're
>> >> hearing was coming into the (positive) frontal lobe or the (inverted)
>> >> rear lobe. hence, the only information we can get from a lonely fig8 is
>> >> "it's obviously not coming from the side".
>> >>
>> >> now if you add an omni to the equation, all of a sudden you have the
>> >> possibilty to discern between the two lobes of the fig8: one is in-phase
>> >> with the omni, the other isn't.
>> >>
>> >> thus, the 0th order component helps you resolve the ambiguities of all
>> >> the 1st order signals.
>> >>
>> >> btw, if you move to second order, the situation is the same: with a
>> >> cloverleaf directivity, you only know "it's either coming from
>> >> front-or-back, or from left-or-right". only with the first-order
>> >> information, the ambiguity can be resolved.
>> >>
>> >> W also has a subtle role in distance coding, but its main job is really
>> >> to help us make sense of the fig8s.
>> >>
>> >>
>> >> to wrap up, three real fig8s won't ever give you ambisonics. but if you
>> >> obtain the fig8s by subtracting two back-to-back cardioids, you can also
>> >> add them, which then gives you a nice omnidirectional component. note
>> >> that you will have to attenuate the resulting omni signal according to
>> >> the number of capsules you used.
>> >>
>> >>
>> >> best,
>> >>
>> >>
>> >> jörn
>> >>
>> >>
>> >>
>> >> --
>> >> Jörn Nettingsmeier
>> >> Lortzingstr. 11, 45128 Essen, Tel. +49 177 7937487
>> >>
>> >> Meister für Veranstaltungstechnik (Bühne/Studio)
>> >> Tonmeister VDT
>> >>
>> >> http://stackingdwarves.net
>> >>
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