Selection of effective singular values based on least squares error spectrum

In order to solve the selection of effective singular values, first the characteristic of the singular values of both ideal signals and noise signals was analyzed, a determination method of least squares error was proposed. Then the impact on signal de-noising by analyzing different number of singular values, indicated that the number of effective singular values were accurate and reliable by using the determination method of least squares error. Finally, the method had been successfully applied to the sensor signal, obtained the Feature curve with smaller error and more accurate results in the determination of glucose concentration. The results show that: the extracted signals have higher SNR and better integrity.