傅里叶退卷积光谱噪音特性研究

Signal-to-Noise Ratio Study on Fourier Self-deconvolution of Fourier Transform Spectrum

通过数学推导给出了更为一般的计算傅里叶退卷积FSD(Fourier self-deconvolution)光谱信噪比变化率的公式.研究了在六种不同切趾函数情况下,当退卷积系数由小逐渐增大时,傅里叶退卷积光谱信噪比变化率随切趾长度的变化.研究结果表明,当傅里叶退卷积由欠退卷积过渡到完全退卷积再到过退卷积时,傅里叶退卷积光谱信噪比的衰减迅速加快.

A more general formula thinking over deconvolution coefficient for computing changes in the signal-to-noise ratio of the spectrum resulting from the Fourier self-deconvolution procedure was derived. Fourier self-deconvolution could reduce the intrinsic halfwidths of lines,which was in practice limited by the noise in the spectrum. The choice of deconvolution coefficient seriously influence the changes in the SNR of Fourier transform spectrum. With the help of the derived formula,the rate of decrease in the SNR as a function of apodization length for six different apodization function was studied, when deconvolution coefficient increased gradually. It was shown that when deconvolution coefficient increased gradually, the rate of decrease in the SNR become great rapidly.