In this paper, for the first time in the literature, a custom circuit is proposed to process the heavy calculations needed to change in real-time the reference coordinate system of vectors measured by tri-axial accelerometers, in order to make a pre-processing stage for the building of virtual sensors like linear and gravity accelerometers. To this purpose, a new 'hardware friendly' algorithm has been derived which can be implemented in a more compact iterative structure to combine high accuracy and low power consumption, in order to conveniently integrate it into the circuitry of smart accelerometers. Synthesis with 65 nm CMOS stdcells returns a power dissipation of 0.89 μW and an area of about 0.024 mm2. Results are the current state-of-the-art for this kind of applications and they are very promising for the future integration in smart sensors for wearable applications.
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