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Multi-antenna radio front-ends generate a multi-dimensional flood ofinformation, most of which is partially redundant. Redundancy is eliminated bydimensionality reduction, but contemporary digital processing techniques faceharsh fundamental tradeoffs when implementing this class of functions. Thesetradeoffs can be broken in the analog domain, in which the performance ofoptical technologies greatly exceeds that of electronic counterparts. Here, wepresent concepts, methods, and a first demonstration of multivariate photonics:a combination of integrated photonic hardware, analog dimensionality reduction,and blind algorithmic techniques. We experimentally demonstrate 2-channel, 1.0GHz principal component analysis in a photonic weight bank using recentlyproposed algorithms for synthesizing the multivariate properties of signals towhich the receiver is blind. Novel methods are introduced for controllingblindness conditions in a laboratory context. This work provides a foundationfor further research in multivariate photonic information processing, which ispoised to play a role in future generations of wireless technology.

Demonstration of multivariate photonics: blind dimensionality reduction with analog integrated photonics