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Hi,
I'm afraid that you're not going to be able to solve the problem this way for a couple of reasons.
1) Noise cancelling works by generating a noise 180 degrees out
of phase with the undesireable noise to intersect perfectly at a
given point. If the listener is in a different place to that
point then the effect is lessened and may even amplify the
undesireable noise. The wavelength of the sounds gives you an
idea of how accurate the intersection needs to be. At 1kHz the
wavelength is approximately (330mps / 1,000 = 0.3m) 30cm, so if
you move 15cm you'll actually double the noise! Sharp sounds have
a very high frequency, meaning that this distance gets much
shorter.
2) Because you have to generate the complementary sound a noise cancelling system has to "hear" the undesireable sound and process it to generate the desired complementary sound. For sharp sounds the processing system has an impossible task: To identify and generate the complementary/out of phase sound while the undesireable sound is still propagating to your ear. Noise cancelling headphones don't normally prevent a listener hearing speech or other ambient noise for this reason. Extremely sharp sounds will often cause 'clicks' to be heard by the listener as the cancelling system generates the out-of-phase sound slightly later than the undesireable sound.
The good news is that while you cannot solve your problem with noise cancelling systems it is a solved problem using other (simpler) technology.
Disposable foam earplugs are extremely cheap and, because they're a passive barrier to the sound wave, work very well for sharp sounds. SImilarly ear defenders work very well if you have an aversion to sticking something in your ear.
Both of these can be found at many industrial tool vendors, including online. I personally like the LaserLite foam earplugs, I find them very comfortable and wouldn't hesitate to recommend them.
Stuart
Yesterday I tried to make a phone call in an office next to people bashing 1" dia rivets to death.......... it's kind of loud (the riveting not my phone call) the sort of thing that would make a 747 passing overhead at 100 feet seem quiet.
Is there a way to cancel the sound by just inverting the received noise and transmitting it back via a large speaker?
What Matt said.
Anything else is a huge deal. (Where I would start is a model of the system, from that you can get the specs you'll need to implement in hardware)
The LaserLite plugs I use are absolutely fine for phone calls.
Voices are a little muffled but their filter frequencies don't
affect voice that much. I use them on aircraft and can just about
hold a conversation with the stewards even despite the background
noise if I can get the visual cues of lip-reading.
Next time I'm in RLab I'll drop a few sets in for you to
experiment with.
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I made my own with a £10 kit from eBay, worked a treat for the bike but they don't have the fancy electronics.