消光测粒反演方法的正则化参数优化

The Optimization of Regularization Parameter of Inversion in Particle Sizing Using Light Extinction Method

独立模式反演算法求解消光法颗粒粒径测量中病态反演问题,参数优化非常关键.研究了GCV准则和L曲线准则的参数优化性能,通过数值模拟和实测数据验证,讨论了上述准则在消光法测粒反演中的应用.表明它们均具有一定的数据误差自适应能力.结合Twomey-NNLS算法,对单峰分布颗粒系给出合理的反演结果.

The regularization parameter plays an important role in the solution of ill-posed inverse problem for particle sizing techniques using light extinction method.Generalized Cross-validation and L-curve criteria,as parameter-choice methods,are discussed by combining with the Twomey-NNLS algorithm.With numerical simulation and experimental validation,they manifest rather sensitive response and smooth ability to data errors,and allow suitable inversed results for unimodal size distribution particle system.