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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-frameset.dtd">
<head>
<meta charset="utf-8">
<meta name="description"
content="Results from the study investigating the crossover frequency between GA and DG-FEM simulation methods." />
<title>Determining the JND crossover frequencies for room acoustics</title>
<style>
th,
td {
padding: 5px;
}
th {
text-align: left;
}
</style>
</head>
<body>
<hr>
<CENTER>
| <a href="#abstract">Abstract</a>
| <a href="#results">Results</a>
| <a href="#contact">Contact</a> ]
</CENTER>
<hr>
<h2>Abstract</h2>
<a name="abstract"></a>
Simulating room acoustics using numerical methods for solving the underlying wave equation yields accurate results,
but becomes intractable for higher frequencies due to expensive computations. On the contrary, GA
methods are efficient but are only considered accurate well above the Schroeder frequency. By combining the two
methods, the full human auditory frequency range can be modeled, but two main question remains: <i>how should the
cross-over frequency between the two methods be determined</i> and <i>how do the room conditions influence the
result</i>? In this work, we investigate the ability of the geometrical methods to capture the underlying
physics in various room conditions, translating into a lower frequency bound determining the cross-over frequency. A
listening test is planned, where the cross-over frequency is determined when the sound field becomes perceptual
similar enough as the objective pressures get closer to each other.
<hr>
<h2>Results</h2>
<a name="results"></a>
These results are preliminary.
<p>
GA - Geometrical Acoustics
<h3>Rectangular room</h3>
<h4>Clap</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r2</td>
<td><audio controls preload="none">
<source
src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_clap_20hz_4000hz_01_DG.wav"
type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source
src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_clap_20hz_4000hz_01_ODEON.wav"
type="audio/mpeg"> </audio></td>
</tr>
</table>
<h4>Lo-fi drum beat</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r1</td>
<td><audio controls preload="none">
<source
src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_drums_lofi_20hz_4000hz_00_DG.wav"
type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source
src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_drums_lofi_20hz_4000hz_00_ODEON.wav"
type="audio/mpeg"> </audio></td>
</tr>
<tr>
<td>r2</td>
<td><audio controls preload="none">
<source
src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_drums_lofi_20hz_4000hz_01_DG.wav"
type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source
src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_drums_lofi_20hz_4000hz_01_ODEON.wav"
type="audio/mpeg"> </audio></td>
</tr>
</table>
<h4>Ambient sound scape</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r1</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_synth_ambient_20hz_4000hz_00_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_synth_ambient_20hz_4000hz_00_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
<tr>
<td>r2</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_synth_ambient_20hz_4000hz_01_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_synth_ambient_20hz_4000hz_01_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
</table>
<h4>Synth bass</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r1</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_synth_bass_20hz_4000hz_00_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_synth_bass_20hz_4000hz_00_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
<tr>
<td>r2</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_synth_bass_20hz_4000hz_01_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/bedroom_synth_bass_20hz_4000hz_01_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
</table>
<h3>Studio (non-parallel walls)</h3>
<h4>Lo-fi drum beat</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r1</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/studio_drums_lofi_20hz_6000hz_00_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/studio_drums_lofi_20hz_6000hz_00_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
</table>
<h4>Ambient sound scape</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r1</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/studio_synth_ambient_20hz_6000hz_00_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/studio_synth_ambient_20hz_6000hz_00_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
</table>
<h4>Synth bass</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r1</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/studio_synth_bass_20hz_6000hz_00_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/studio_synth_bass_20hz_6000hz_00_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
</table>
<h4>L-shaped room</h4>
<h4>Lo-fi drum beat</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r1</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_drums_lofi_20hz_4000hz_00_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_drums_lofi_20hz_4000hz_00_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
<tr>
<td>r4</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_drums_lofi_20hz_4000hz_03_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_drums_lofi_20hz_4000hz_03_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
</table>
<h4>Ambient sound scape</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r1</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_synth_ambient_20hz_4000hz_00_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_synth_ambient_20hz_4000hz_00_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
<tr>
<td>r4</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_synth_ambient_20hz_4000hz_03_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_synth_ambient_20hz_4000hz_03_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
</table>
<h4>Synth bass</h4>
<table>
<tr>
<th></th>
<th>DG-FEM</th>
<th>GA</th>
</tr>
<tr>
<td>r1</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_synth_bass_20hz_4000hz_00_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_synth_bass_20hz_4000hz_00_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
<tr>
<td>r4</td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_synth_bass_20hz_4000hz_03_DG.wav" type="audio/mpeg"> </audio></td>
<td><audio controls preload="none">
<source src="https://jnd-crossover-freq.s3.eu-north-1.amazonaws.com/results/Lshape_synth_bass_20hz_4000hz_03_ODEON.wav" type="audio/mpeg"> </audio></td>
</tr>
</table>
<p>
<hr>
<h2>Contact</h2>
<a name="contact"></a>
Nikolas Borrel-Jensen, PhD student, <a href="mailto: nibor@elektro.dtu.dk">nibor@elektro.dtu.dk</a><br>
Department of Electrical Engineering, Technical University of Denmark<br>
Oersteds Plads, Building 352, room 004, 2800 Kgs. Lyngby<br>
<p>
Hermes Sampedro Llopis, PhD student, <a href="mailto: hsllo@elektro.dtu.dk">nhsllo@elektro.dtu.dk</a> <br>
Department of Electrical Engineering, Technical University of Denmark<br>
Oersteds Plads, Building 352, room 004, 2800 Kgs. Lyngby<br>
<p>
Supervisor: Cheol-Ho Jeong, Associate Professor <br>
Department of Electrical Engineering, Technical University of Denmark<br>
Oersteds Plads, Building 352, 2800 Kgs. Lyngby<br>
<hr>
</body>