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M. D. Ercegovac, T. Lang, J.-M. Muller and A. Tisserand, “Reciprocation, Square Root, Inverse Square Root and Some Elementary Functions Using Small Multipliers,” IEEE Transactions on Computers, Vol. 49, No. 7, 2000, pp. 628-637.

has been cited by the following article:

• TITLE: Lookup Table Optimization for Sensor Linearization in Small Embedded Systems

  AUTHORS: Lars E. Bengtsson

  KEYWORDS: Lookup Table; Sensor Linearization; Embedded Systems; Interpolation

  JOURNAL NAME: Journal of Sensor Technology, Vol.2 No.4, December 19, 2012

  ABSTRACT: This paper treats the problem of designing an optimal size for a lookup table used for sensor linearization. In small embedded systems the lookup table must be reduced to a minimum in order to reduce the memory footprint and intermediate table values are estimated by linear interpolation. Since interpolation introduces an estimation uncertainty that increases with the sparseness of the lookup table there is a trade-off between lookup table size and estimation precision. This work will present a theory for finding the minimum allowed size of a lookup table that does not affect the overall precision, i.e. the overall precision is determined by the lookup table entries’ precision, not by the interpolation error.