食品科学 ›› 2006, Vol. 27 ›› Issue (10): 135-138.

• 基础研究 • 上一篇    下一篇

利用傅立叶变换简化苹果糖度的预测模型的研究

 屠振华, 籍保平, 史波林, 朱大洲   

  1. 中国农业大学食品科学与营养工程学院
  • 出版日期:2006-10-15 发布日期:2011-11-16

Simplification of Prediction Model for Apple Sugar Content Using Fourier Analysis

 TU  Zhen-Hua, JI  Bao-Ping, SHI  Bo-Lin, ZHU  Da-Zhou   

  1. College of Food Science and Nutritional Engineering, China Agricultural University, Beijing 100083, China
  • Online:2006-10-15 Published:2011-11-16

摘要: 本文通过离散傅立叶变化,将苹果光谱信号转换为一系列的傅立叶系数。实验表明运用较少的傅立叶系数(15个)建立苹果糖度的PLS和PCR模型的效果与原始光谱(88个变量)建立的PLS模型的效果基本一致。这可以表明选择前若干个傅立叶系数建模,可以包含原光谱图的绝大部分信息。这样既可以较好的压缩图谱,减少计算量,同时也可以达到定量分析的要求。

关键词: 傅立叶系数, 压缩图谱, 苹果糖度, 近红外光谱

Abstract: A Fourier transform (FT) was used as a tool to reduce the number of variables in pattern recognition. It is carried out in the frequency domain starting from the first 15 Fourier coefficients (FFT coefficients) as the input to the PLS(partical least square) method and the PCR(principal-component regression) method. Comparison between the PLS FFT method and other calibration methods applied in the original domain (wavelength domain WD) and in the FFT domain. The results demonstrate that FT is a fast and powerful reduction method. This also shows that the method can be used to investigate the structure of the data.

Key words: Fourier coefficients, feature selection, apple sugar content, NIR