Spectral Representations for Quantized Chemical Signals
A cardinal precept of management theory is that innovation comes from the outside. What, of relevance, can a spectroscopist learn from related disciplines? In this chapter we attempt to show how some well-known ideas in statistics, mathematics, and electrical engineering contribute to a better understanding of what a spectroscopist is attempting to measure, how certain traditional data-handling techniques are special cases of more general mathematical methods, and how modern signal-processing techniques relate to specific chemical signals. Most of the concepts in this chapter will be illustrated by application to FT NMR, in which the primary measured quantity is the free-induction decay signal (FID). The illustrations involve 13C FIDs but the techniques are applicable to other nuclei as well. In addition, most of what follows applies to FT-IR and the transform techniques discussed in the earlier chapters of this book.
KeywordsSpectral Representation Fourier Spectrum Automatic Speech Recognition Hadamard Matrice Zero Crossing
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