I am currently working on a vibration based monitoring system project. I am using a sensing unit composing of accelerometer (ADXL345), microcontroller and zigbee pro. The idea is I will deploy them on different locations inside a structure to monitor its vibrational response. The response will be shown in a server powered by raspberry pi.

The aim of the project is to display Acceleration, Velocity measurement, frequency response, displacement measurement and Peak Particle Velocity. By doing that the acceleration data from accelerometer should be integrated right? But other says that it is not good to just integrate those because it will give an inaccurate data. So as solution, I can use GPS sensor incorporated with accelerometer to get a better result.

May I know how can I incorporate those two and how am I able to get the measurements needed from those?

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