Center of Life and Food Sciences Weihenstephan, Group of Bio-Process Analysis, TU Muenchen, Weihenstephaner Steig 20, 85354 Freising, Germany.
Center of Life and Food Sciences Weihenstephan, Group of Bio-Process Analysis, TU Muenchen, Weihenstephaner Steig 20, 85354 Freising, Germany.
Ultrasonics. 2014 Aug;54(6):1703-12. doi: 10.1016/j.ultras.2014.02.019. Epub 2014 Mar 11.
This paper presents a multivariate regression method for the prediction of maltose concentration in aqueous solutions. For this purpose, time and frequency domain of ultrasonic signals are analyzed. It is shown, that the prediction of concentration at different temperatures is possible by using several multivariate regression models for individual temperature points. Combining these models by a linear approximation of each coefficient over temperature results in a unified solution, which takes temperature effects into account. The benefit of the proposed method is the low processing time required for analyzing online signals as well as the non-invasive sensor setup which can be used in pipelines. Also the ultrasonic signal sections used in the presented investigation were extracted out of buffer reflections which remain primarily unaffected by bubble and particle interferences. Model calibration was performed in order to investigate the feasibility of online monitoring in fermentation processes. The temperature range investigated was from 10 °C to 21 °C. This range fits to fermentation processes used in the brewing industry. This paper describes the processing of ultrasonic signals for regression, the model evaluation as well as the input variable selection. The statistical approach used for creating the final prediction solution was partial least squares (PLS) regression validated by cross validation. The overall minimum root mean squared error achieved was 0.64 g/100 g.
本文提出了一种多元回归方法,用于预测水溶液中麦芽糖浓度。为此,分析了超声波信号的时域和频域。结果表明,通过为各个温度点使用多个多元回归模型,可以在不同温度下预测浓度。通过在温度上对每个系数进行线性逼近来组合这些模型,得到了一个统一的解决方案,该解决方案考虑了温度效应。所提出方法的优点是分析在线信号所需的处理时间短,以及可以在管道中使用的非侵入式传感器设置。此外,本文研究中使用的超声波信号部分是从缓冲反射中提取出来的,缓冲反射主要不受气泡和颗粒干扰的影响。为了研究在发酵过程中进行在线监测的可行性,进行了模型校准。所研究的温度范围为 10°C 至 21°C。这个范围适用于酿造行业中使用的发酵过程。本文描述了用于回归的超声波信号处理、模型评估以及输入变量选择。用于创建最终预测解决方案的统计方法是偏最小二乘(PLS)回归,并通过交叉验证进行了验证。实现的总体最小均方根误差为 0.64 g/100 g。