Envelope and Wavelet Transform for Sound Localisation at Low Sampling Rates in Wireless Sensor Networks

<table>Triangular configuration of sensor nodes-sound source for the localization where <svg height="14.3625" id="M31" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 13.4375 14.3625" width="13.4375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3625)">
<g transform="translate(72,-60.51)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.52,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑖</tspan>
</text>
</g>
</g>
</svg> represents sensor node position and <svg height="10.325" id="M32" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.6875 10.325" width="11.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑅</tspan>
</text>
</g>
</g>
</svg> is the shortest path between sound source “<svg height="10.725" id="M33" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 11.375 10.725" width="11.375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.725)">
<g transform="translate(72,-63.42)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑆</tspan>
</text>
</g>
</g>
</svg>” and the sensor node located at <svg height="14.2375" id="M34" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 15.5 14.2375" width="15.5" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.52,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Sensors

fig2

Figure 2

Figure 2: Envelope and Wavelet Transform for Sound Localisation at Low Sampling Rates in Wireless Sensor Networks 