Spectral estimation of spectrometers time-sampled signals using fast implementation of the reverse non-uniform discrete fourier transform

A spectrometric system comprising a spectrometer and a computing device, said spectrometer comprising:

• a primary channel providing a primary channel waveform;
• a reference channel providing a reference channel waveform;
• said computing device having therein program code usable by said computing device for processing a digital representation of said primary channel waveform and a digital representation of said reference channel waveform to provide a digital output representing the primary channel waveform at datum points synchronized with the reference channel waveform, said program code comprising:
• code configured to compute the Fourier transform of the primary channel waveform;
• and
• code configured to use a fast reverse non-uniform discrete Fourier Transform technique to compute the reverse non-uniform discrete Fourier transform of said Fourier transform of said primary channel waveform to provide said digital output representing said primary channel waveform at datum points synchronized with the reference channel waveform.

A computer product for processing a digital representation of a waveform of a primary channel of a spectrometric system and a digital representation of a waveform of a reference channel of said system to provide a digital output representing said primary waveform at datum points synchronized with said reference waveform, said computer product comprising:

• a processor;
• computer usable program code stored on a non-transitory tangible computer readable media which when executed by said processor performs computing the Fourier transform of said primary signal waveform;
• and
• computer usable program code stored on said non-transitory tangible computer readable media which when executed by said processor performs using a fast reverse non-uniform discrete Fourier Transform technique to compute the reverse non-uniform discrete Fourier transform of said Fourier transform of said primary signal waveform to provide said digital output representing said primary signal waveform at datum points synchronized with the reference signal waveform.