The Weighing Design Problem


Please sign in to view the rest of this entry.

The Weighing Design Problem
The Weighing Design Problem Weighing designs look at how to optimally combine small objects whose weights are to be determined into larger collections placed simultaneously onto a beam- or spring-balance. With an analytical treatment of the summed measurements, the individual weights can be estimated with smaller relative errors. The techniques are equally applicable to measuring a “collection” of summed low intensities, whose magnitudes can be estimated with improved signal-to-noise ratio. This treatment is taken directly from Harwit and Sloane (1979).Suppose we need to weigh four objects, with true but unknown weights ψ
Citation
Mark Johnson: Photodetection and Measurement: Maximizing Performance in Optical Systems. The Weighing Design Problem , Chapter (McGraw-Hill Professional, 2003), AccessEngineering Export