It is shown that, in one mode of operation, the displacement of the device satisfies a fractional differential equation (FDE).
The pre-scanning procedure may be initiated if the current RSS of the user device satisfies Equation (9).
Using this fact, we show that perfect representation and reconstruction of a signal with a time encoding machine is possible whenever this device satisfies some density property.
It can be concluded, based on simulation and experimental results that the performance of this deterministically optimized haptic device satisfies the stated user requirements.
The flux drift must be below the specified limit whilst the device satisfies other stringent specifications such as, 500 V galvanic isolation, 14-bit ENOB and environment magnetic field tolerance up to 10 mT.
If more than one device satisfy the upper bound with the minimum decoding delay, i.e., the optimal solution of (27) is not unique, then the one with the smallest index transmits.
The wireless devices satisfy uniform distribution in this region.
Both the M2M gateway and the devices satisfy uniform distribution in this region.
We also assume the M2M devices satisfy uniform distribution with density λ, and here, we set λ =1.
In this paper, we assume that the wireless devices satisfy uniform distribution in the proposed region and the number of wireless devices is distributed according to a homogeneous spatial Poisson process with density λ.
