UBC Theses and Dissertations

UBC Theses Logo

UBC Theses and Dissertations

Apodization of absorption and magnitude mode fourier transform spectra and the effects on SNR and resolution Lee, Judy Pihsien

Abstract

The problem of sidelobes surrounding a peak in a Fourier transform spectrum is alleviated by apodization. This is performed by multiplying the time-domain function by a window function. A systematic study of the effects of window functions on damped time-domain signals is made by examining the resulting lineshapes at specific dynamic ranges for both the absorption and magnitude modes. A symmetrical window is shown to be effective for the magnitude mode, and half of the symmetrical shape is better for the absorption mode. Selection of a recommended window is based on the required dynamic range. For an increasing dynamic range, the Noest-Kort and Norton-Beer F3, Filler E0.20, and Kaiser-Bessel are efficient for the absorption mode; and the Hamming, 3-term Blackman-Harris and Kaiser-Bessel work for the magnitude mode. Sidelobes are often eliminated at the expense of SNR and/or resolution, therefore these factors are also examined. All of the recommended windows show sufficient SNRs except for the Noest-Kort. The apodized absorption spectra are well resolved, with a 10% valley as the criterion for resolution. The magnitude spectra do not display a simple pattern, and also show a phase dependence; however these are explained by the absorption and dispersion components. These findings lend themselves to various applications.

Item Media

Item Citations and Data

Rights

For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.