We have done similar project for football goal post presently used for training professional players in California USA. We have used accelerometers in that system instead of microphones but that can be done not an issue. However these type of projects takes a lot of time in development and testing and therefore the budget you mentioned is very very low for ny quality work. Therefore I have bidded an amount more appropriate for the job. Following is my profile:
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I am a mechanical engineer with a dedicated team of mechanical, electronics hardware and software engineers with 9 international papers and 5 patents.
We specialize in custom industrial and commercial machine/product design, development & fabrication.
In past we have designed complete products like variable stability aircraft (changes its geometry while flying- having more than 800 custom designed parts), glider based payload delivery system/mechanism, desktop coffee roasting machine, gun recoil simulation mechanism, etc to name a few with microcontroller based sensors and controllers.
We also have inhouse prototyping and manufacturing facility including 3D printing i.e. SLA and SLS in 3 different polymers, vacuum casting for a range of polymers and aluminum, CNC milling and turning, etc. PCB printing, hardware assembly, etc
Best regards
Anuj Garg