Earlier we introduced a combinatorial synthetic method that employs one-dimensional supports, leading to compound libraries with linearly arrayed members. The use of the cladding of optical fibers as linear supports for these libraries significantly extends the potential applications of the technique, allowing for spatially resolved optical evaluation of library activity using laser pulses propagating through the fiber core. Our combinatorial method affords parallel synthesis and availability of the complete library history ideally yielding identification of all library members. Moreover, the synthesized compound library will be arrayed periodically on the linear support, leading to assay data that also reflects this periodicity. This fact invites an analysis using the Fourier transform. In this contribution we demonstrate how this approach presents n-dimensional data in a comprehensible manner and facilitates the identification of trends within the library. Carrying out an inverse Fourier transform on subsets of the data allows for the assignment of fitness profiles for each reactant and combination of reactants in the library. The tools should assist in drawing conclusions based on the diversity of library response as opposed to individual library members.