Subject: Re: [AUDITORY] On 3D audio rendering for signals with the low sampling frequency From: David McAlpine <david.mcalpine@xxxxxxxx> Date: Thu, 11 Aug 2022 06:45:08 +0000--_000_BDDF50349FAD450F93AF30E869D78F98mqeduau_ Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: base64 VHJhaW4gZXZlcnlvbmUgb24gdGhlIHJlZHVjZWQgc2lnbmFsIGZvciA0IHdlZWtzIGFuZCBzZWUg aWYgaXQgbWF0dGVycyENCmh0dHBzOi8vd3d3Lm5hdHVyZS5jb20vYXJ0aWNsZXMvbm4wOTk4XzQx Nw0KDQoNCg0KDQpTZW50IGZyb20gbXkgaVBhZA0KDQpPbiAxMSBBdWcgMjAyMiwgYXQgMjoyNCBw bSwgSnVuZmVuZyBMaSA8anVuZmVuZy5saS4xOTc5QGdtYWlsLmNvbT4gd3JvdGU6DQoNCu+7vw0K RGVhciBhbGwsDQoNCldlIGFyZSB3b3JraW5nIG9uIDNEIGF1ZGlvIHJlbmRlcmluZyBmb3Igc2ln bmFscyB3aXRoIGxvdyBzYW1wbGluZyBmcmVxdWVuY3kuDQpBcyB5b3UgbWF5IGtub3csIHRoZSBI UlRGcyAgYXJlIG5vcm1hbGx5IG1lYXN1cmVkIGF0IHRoZSBoaWdoIHNhbXBsaW5nIGZyZXF1ZW5j eSwgZS5nLiwgNDhrSHogb3IgNDQuMWtIei4gSG93ZXZlciwgdGhlIHNhbXBsaW5nIGZyZXF1ZW5j eSBvZiBzb3VuZCBzaWduYWxzIGluIG91ciBhcHBsaWNhdGlvbiBpcyByZXN0cmljdGVkIHRvIDE2 IGtIei4gVGhlcmVmb3JlLCB0byByZW5kZXIgdGhpcyBsb3ctZnJlcXVlbmN5ICjiiaQ4a0h6KSBz aWduYWwsIG9uZSBzdHJhaWdodCB3YXkgaXMgdG8gZmlyc3QgZG93bnNhbXBsZSB0aGUgSFJURnMg ZnJvbSA0OGtIei80NC4xa0h6IHRvIDE2a0h6IGFuZCB0aGVuIGNvbnZvbHZlIHdpdGggc291bmQg c2lnbmFscy4gSG93ZXZlciwgdGhlIHNvdW5kIGxvY2FsaXphdGlvbiBwZXJmb3JtYW5jZSBvZiB0 aGUgc2lnbmFsIHJlbmRlcmVkIHdpdGggdGhpcyBhcHByb2FjaCBpcyBncmVhdGx5IGRlY3JlYXNl ZCwgZXNwZWNpYWxseSBlbGV2YXRpb24gcGVyY2VwdGlvbi4gVG8gaW1wcm92ZSB0aGUgc291bmQg bG9jYWxpemF0aW9uIHBlcmZvcm1hbmNlLCBJIGFtIG5vdyB3b25kZXJpbmcgd2hldGhlciB0aGVy ZSBpcyBhIGNlcnRhaW4gZ29vZCBtZXRob2QgdG8gc29sdmUgb3IgbWl0aWdhdGUgdGhpcyBwcm9i bGVtIGluIHRoaXMgc2NlbmFyaW8uDQoNCkFueSBkaXNjdXNzaW9uIGlzIHdlbGNvbWUuDQoNClRo YW5rcyBhIGxvdCBhZ2Fpbi4NCg0KQmVzdCByZWdhcmRzLA0KSnVuZmVuZw0K --_000_BDDF50349FAD450F93AF30E869D78F98mqeduau_ Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: base64 PGh0bWw+DQo8aGVhZD4NCjxtZXRhIGh0dHAtZXF1aXY9IkNvbnRlbnQtVHlwZSIgY29udGVudD0i dGV4dC9odG1sOyBjaGFyc2V0PXV0Zi04Ij4NCjwvaGVhZD4NCjxib2R5IGRpcj0iYXV0byI+DQpU cmFpbiBldmVyeW9uZSBvbiB0aGUgcmVkdWNlZCBzaWduYWwgZm9yIDQgd2Vla3MgYW5kIHNlZSBp ZiBpdCBtYXR0ZXJzIQ0KPGRpdj48YSBocmVmPSJodHRwczovL3d3dy5uYXR1cmUuY29tL2FydGlj bGVzL25uMDk5OF80MTciPmh0dHBzOi8vd3d3Lm5hdHVyZS5jb20vYXJ0aWNsZXMvbm4wOTk4XzQx NzwvYT48L2Rpdj4NCjxkaXY+PGJyPg0KPC9kaXY+DQo8ZGl2Pjxicj4NCjwvZGl2Pg0KPGRpdj48 YnI+DQo8YnI+DQo8ZGl2IGRpcj0ibHRyIj5TZW50IGZyb20gbXkgaVBhZDwvZGl2Pg0KPGRpdiBk aXI9Imx0ciI+PGJyPg0KPGJsb2NrcXVvdGUgdHlwZT0iY2l0ZSI+T24gMTEgQXVnIDIwMjIsIGF0 IDI6MjQgcG0sIEp1bmZlbmcgTGkgJmx0O2p1bmZlbmcubGkuMTk3OUBnbWFpbC5jb20mZ3Q7IHdy b3RlOjxicj4NCjxicj4NCjwvYmxvY2txdW90ZT4NCjwvZGl2Pg0KPGJsb2NrcXVvdGUgdHlwZT0i Y2l0ZSI+DQo8ZGl2IGRpcj0ibHRyIj7vu78NCjxkaXYgZGlyPSJsdHIiPkRlYXIgYWxsLCZuYnNw Ow0KPGRpdj48YnI+DQo8L2Rpdj4NCjxkaXY+V2UgYXJlIHdvcmtpbmcgb24gM0QgYXVkaW8gcmVu ZGVyaW5nIGZvciBzaWduYWxzIHdpdGggbG93IHNhbXBsaW5nIGZyZXF1ZW5jeS4mbmJzcDs8L2Rp dj4NCjxkaXY+QXMgeW91IG1heSBrbm93LCB0aGUgSFJURnMmbmJzcDsgYXJlIG5vcm1hbGx5IG1l YXN1cmVkIGF0IHRoZSBoaWdoIHNhbXBsaW5nIGZyZXF1ZW5jeSwgZS5nLiwgNDhrSHogb3IgNDQu MWtIei4gSG93ZXZlciwgdGhlIHNhbXBsaW5nIGZyZXF1ZW5jeSBvZiBzb3VuZCBzaWduYWxzIGlu IG91ciBhcHBsaWNhdGlvbiZuYnNwO2lzIHJlc3RyaWN0ZWQgdG8gMTYga0h6LiBUaGVyZWZvcmUs IHRvIHJlbmRlciB0aGlzIGxvdy1mcmVxdWVuY3kgKOKJpDhrSHopIHNpZ25hbCwNCiBvbmUgc3Ry YWlnaHQgd2F5IGlzIHRvIGZpcnN0Jm5ic3A7ZG93bnNhbXBsZSB0aGUgSFJURnMgZnJvbSA0OGtI ei80NC4xa0h6IHRvIDE2a0h6IGFuZCB0aGVuJm5ic3A7Y29udm9sdmUgd2l0aCBzb3VuZCBzaWdu YWxzLiBIb3dldmVyLCB0aGUgc291bmQgbG9jYWxpemF0aW9uIHBlcmZvcm1hbmNlIG9mIHRoZSBz aWduYWwgcmVuZGVyZWQmbmJzcDt3aXRoIHRoaXMgYXBwcm9hY2ggaXMgZ3JlYXRseSBkZWNyZWFz ZWQsIGVzcGVjaWFsbHkgZWxldmF0aW9uIHBlcmNlcHRpb24uDQogVG8gaW1wcm92ZSB0aGUmbmJz cDtzb3VuZCBsb2NhbGl6YXRpb24gcGVyZm9ybWFuY2UsIEkgYW0gbm93IHdvbmRlcmluZyB3aGV0 aGVyIHRoZXJlIGlzIGEgY2VydGFpbiBnb29kIG1ldGhvZCB0byBzb2x2ZSBvciBtaXRpZ2F0ZSB0 aGlzIHByb2JsZW0gaW4gdGhpcyBzY2VuYXJpby4mbmJzcDs8L2Rpdj4NCjxkaXY+PGJyPg0KPC9k aXY+DQo8ZGl2PkFueSBkaXNjdXNzaW9uIGlzIHdlbGNvbWUuPC9kaXY+DQo8ZGl2Pjxicj4NCjwv ZGl2Pg0KPGRpdj5UaGFua3MgYSBsb3QgYWdhaW4uPC9kaXY+DQo8ZGl2Pjxicj4NCjwvZGl2Pg0K PGRpdj5CZXN0IHJlZ2FyZHMsPC9kaXY+DQo8ZGl2Pkp1bmZlbmcmbmJzcDs8L2Rpdj4NCjwvZGl2 Pg0KPC9kaXY+DQo8L2Jsb2NrcXVvdGU+DQo8L2Rpdj4NCjwvYm9keT4NCjwvaHRtbD4NCg== --_000_BDDF50349FAD450F93AF30E869D78F98mqeduau_--