The ICA algorithm used in THOR and in the Spectral menu are using the same code base. There are two references in the ENVI Help you can use to investigate how ICA works:
References:
Hyvarinen, A., and E. Oja, Independent component analysis: algorithms and applications, Neural Networks, vol. 13, no. 4-5, pp. 411-430, 2000.
Hyvarinen, A., Fast and robust fixed-point algorithms for independent component analysis, IEEE Trans. Neural Networks, vol. 10, no. 3, pp. 626-634, 1999.
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