Development of an Exponential Sampling Correlator with Lagged Fibonacci Series for Polydisperse Nanoparticles

Abstract

Correlator of a photon correlation spectroscopy (PCS) apparatus for measuring nanoparticles with a polydisperse distribution has been developed with unique data sampling methods. In the present exponential sampling correlator, the sampling times are increased by various geometrical ratios, each of which relates the integral multiples of minimum sampling time to the individual channels. The geometrical progressions are able to transform the data into the lagged Fibonacci series. Simulation results show that the newly developed correlator has an improved performance over the conventional exponential sampling correlator because no rounding errors occur in the processing of the data.