The aerosol mass measurement based on the two-parameter mathematical model in optical sensor

On the basis of the analysis of random pulse signal, the mathematical model of the two-parameter random signal is established. Based on which, it is found that the random signal has a non-integer dimension fractal characteristics, and the fractal dimension is the ratio of the count distribution and the number of discrete degree sln. Besides, the mass distribution of the particle group is also a typical random distribution, and satisfies the lognormal distribution. Thereby, the functional relationship between the average quality and average voltage of the voltage is given, and a theoretical basis of the quality measurement by the light scattering counting particle is established. Finally, the physical meaning of the fractal dimension is proposed. © 2014 IFSA Publishing, S. L.