On 2021-12-02, Jens Ahrens wrote:
It’s hard to tell how exactly the high orders contribute.
No, it is not. You can calculate via normal linear field theory, how
exactly anything contributes. From the field to your ostensibly linear
sensor, over an ostensibly rigid sphere, upon which your
On 2021-12-07, Hannes Helmholz wrote:
(Also: SMA here refers to spherical microphone array)
Thank you for the clarification.
It's not self-evident that it is spherical, though, since it's really
just circular, by said symmetry.
As a wannabe-mathematician, I kinda worry about the precise
On 2021-12-02, eric benjamin wrote:
I believe that Nando may have been thinking about reproduction with
loudspeaker arrays. He has a system with eight loudspeakers on the
horizontal plane, as do I. So good up to third order.
What is interesting here, to me, is that sampling on the recording
On 2021-12-02, Fons Adriaensen wrote:
If I’m not misreading, then the 7th order is available somewhere
between 2 kHz and 3 kHz and higher. Aliasing kicks in at around 4
kHz-ish.
So the question is if this small range (less than one octave) actually
contributes anything useful.
1-2 (atmost
On 2021-12-01, Fernando Lopez-Lezcano wrote:
Cool. The correctly recovered harmonics for 7th order span about 1
octave of useful range, if I understand correctly.
I'd argue in order to have proper field reconstruction, you at least
need to have aliasing artifacts below the noise floor of
On 2021-12-01, Jens Ahrens wrote:
For this type of array, the spatial aliasing frequency f_a is
dependent on order N and radius R of the array in the exact same
manner like with spherical microphone arrays (SMAs): N = (2 pi f_a /
c) R
But it is also dependent on the angle of incidence above
On 2021-12-01, Jens Ahrens wrote:
We would like to make you aware of the concept of equatorial
microphone arrays, which use a spherical scattering body and
microphones along the equator of that body. Here’s a 3-minute video of
a binaural rendering of the signals from such array:
