Happ-Genzel function

One other popular apodization function is the Happ-Genzel function, given by... 

The FWHH of the ILS function given by the Happ-Genzel function is close to that of the Norton-Beer strong apodization function. Another common function that strongly suppresses the sidelobe amplimde is the Blackman-Harris function,... 

The coefficient A, of the three functions Happ-Genzel, Blackman-Harris three term, and Blackman-Harris four term are summarized in Tab. 5.2. 

Figure 6.4 The influence of spectral resolution (RES) and zero-filling factor (ZFF) on the detectability of IR spectral features of colon tissue. In this example, identical positions of a tissue sample mounted on a CaF2 window of a thickness of 1 mm were characterised by utilising a Bruker IR Scope II IR microscope. Transmission type IR spectra were recorded using a circular aperture of 900 pm diameter and a Cassegrain objective (36 x, NA 0.5, SR ca. 25 pm). A Happ-Genzel apodization function and a first derivative Savitzky-Golay filter with nine smoothing points were applied to the spectra.

There are other apodization functions in use besides the Norton-Beer and the Happ-Genzel. These functions have not been tested as thoroughly however, it has been noted by the authors that the Blackman-Harris and Blackman apodization functions (Section 2.4) are considerably broader than the Norton-Beer medium or Happ-Genzel apodization functions. It is expected that these functions will not adhere to Beer s law as well as the Norton-Beer medium function. 

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