Provider: ingentaconnect
Database: ingentaconnect
Content: application/x-research-info-systems
TY - ABST
AU - Goto, Yutaka
AU - Hosokawa, Takahito
AU - Mitani, Masaaki
AU - Inoue, Masao
TI - New Interpolation Formulas for Apodized, Magnitude-Mode Fourier Transformed Spectra
JO - Applied Spectroscopy
PY - 1990-09-01T00:00:00///
VL - 44
IS - 8
SP - 1386
EP - 1390
KW - Instrumentation, Fourier transform
KW - Spectroscopic techniques
KW - Computer applications
KW - Interpolation
N2 - Interpolation techniques for the magnitude-mode discrete Fourier transformed (DFT) spectra of exponentially damped sinusoids have been developed. However, simple formulas to interpolate the apodized DFT spectra have not been given, except those used to interpolate the Hanning-apodized
spectra. In this paper, we derive simple interpolation formulas using the sine-bell and rectangle windows. It is found that the formulas for the rectangle window are essentially identical to Lorentzian interpolation. Furthermore, we derive generalized formulas to interpolate DFT spectra apodized
by a family of sin^{α}(*X*) windows, which includes the rectangle, sine-bell, and Hanning windows. We call the proposed interpolation "generalized" because any integer value of α can be used. Simulation results show that the accuracy of interpolation is improved remarkably
with increases in the value of the parameter α.
UR - http://www.ingentaconnect.com/content/sas/sas/1990/00000044/00000008/art00021
M3 - doi:10.1366/000370290789619603
UR - http://dx.doi.org/10.1366/000370290789619603
ER -