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jacketyjack
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Hi all,
I was wondering whether someone can help/guide me. I am doing a project that involves sound propagation in solids. Basically, I have two microphones placed on a surface (say a piece of wood). Then, when a person taps on the surface I can detect the tap and determine the amplitude of tap at both microphones. I then use the two amplitudes (listeners) to triangulate the position of the tap on the surface. The rough schematic of the arrangement is attached (Board.jpg). Note that the tap can be anywhere on the surface. As such, I want to create a mouse-type device the moves the mouse the location corresponding to the location where the person tapped on the surface. The equations/model I am using is exponential decay of sound in solids as follows:
For microphone 1:
A_{1} = A_{0}e^{-\alpha_{1} d_{1}}
The same for microphone 2:
A_{2} = A_{0}e^{-\alpha_{2} d_{2}}
Where:
A_{1},A_{2} are the amplitudes of the tap as heard by mic 1 and 2 resp.
A_{0} is the amplitude of the tap before any decays happen i.e at the tap location
\alpha_{1},\alpha_{2} is the decay constant of mic 1 and 2 resp, and no they are not exactly the same since mic1 and mic2 are different in terms of electronics.
d_{1},d_{2} are the distances to the tap location from mics 1 and 2 resp.
Thus, I calibrate the setup and determine the alphas, then I probe the mics regularly to determine when a tap occurs and when it does I use the equations above to determine the distance of the tap from each mic using the amplitudes.
I have tried to apply this scheme and to some extent it works. THE ONLY problem, which I hope someone will help me figure out, is how to make the equations independent of how hard the person taps. Thing is: if the person taps harder than usual at a far location, the mics will pick up higher amplitudes and therefore the computation will determine that the tap occurred closer than it actually did. The reverse is also true (i.e. softer tap at closer distance = mics think tap is farther away)
Some leads that I have: A_{0} , A_{1} and A_{2} depend wholly on how hard the person taps. So if I could somehow compute how hard the person has tapped (would this be intensity or power anyway?), then I can determine the right A_{0} to use and the equations will produce the exact location perfectly. Problem: how do I determine the power/intensity of the tap?
Leads on determining power: In the current scheme, I am treating A_{1} and A_{2} totally separately. And therefore each mic only has limited information. But if I could somehow use BOTH amplitudes together to compute tap location/power/intensity, I think this would solve it.
Any help would be greatly appreciated.
Jack.
I was wondering whether someone can help/guide me. I am doing a project that involves sound propagation in solids. Basically, I have two microphones placed on a surface (say a piece of wood). Then, when a person taps on the surface I can detect the tap and determine the amplitude of tap at both microphones. I then use the two amplitudes (listeners) to triangulate the position of the tap on the surface. The rough schematic of the arrangement is attached (Board.jpg). Note that the tap can be anywhere on the surface. As such, I want to create a mouse-type device the moves the mouse the location corresponding to the location where the person tapped on the surface. The equations/model I am using is exponential decay of sound in solids as follows:
For microphone 1:
A_{1} = A_{0}e^{-\alpha_{1} d_{1}}
The same for microphone 2:
A_{2} = A_{0}e^{-\alpha_{2} d_{2}}
Where:
A_{1},A_{2} are the amplitudes of the tap as heard by mic 1 and 2 resp.
A_{0} is the amplitude of the tap before any decays happen i.e at the tap location
\alpha_{1},\alpha_{2} is the decay constant of mic 1 and 2 resp, and no they are not exactly the same since mic1 and mic2 are different in terms of electronics.
d_{1},d_{2} are the distances to the tap location from mics 1 and 2 resp.
Thus, I calibrate the setup and determine the alphas, then I probe the mics regularly to determine when a tap occurs and when it does I use the equations above to determine the distance of the tap from each mic using the amplitudes.
I have tried to apply this scheme and to some extent it works. THE ONLY problem, which I hope someone will help me figure out, is how to make the equations independent of how hard the person taps. Thing is: if the person taps harder than usual at a far location, the mics will pick up higher amplitudes and therefore the computation will determine that the tap occurred closer than it actually did. The reverse is also true (i.e. softer tap at closer distance = mics think tap is farther away)
Some leads that I have: A_{0} , A_{1} and A_{2} depend wholly on how hard the person taps. So if I could somehow compute how hard the person has tapped (would this be intensity or power anyway?), then I can determine the right A_{0} to use and the equations will produce the exact location perfectly. Problem: how do I determine the power/intensity of the tap?
Leads on determining power: In the current scheme, I am treating A_{1} and A_{2} totally separately. And therefore each mic only has limited information. But if I could somehow use BOTH amplitudes together to compute tap location/power/intensity, I think this would solve it.
Any help would be greatly appreciated.
Jack.
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