Holographic scheme for independent component analysis

An optoelectronic analog feedback circuit uses dynamic holography to perform independent component analysis on an array of input signals imposed on a set of optical carriers. The requisite nonlinearity for achieving high-order statistical analysis is established with optical phase modulation in the feedback loop. The dynamics of the system is shown to be driven by the statistical characteristic functions of the input signals and reveals winner-takes-all dynamics when at least one of the signals is sub-Gaussian. Signal correlation and circuit adaptation is carried out by the dynamic holographic medium and therefore takes place in a parallel fashion. The allowed signal bandwidth is limited by the delay time of the feedback loop, thus signal bandwidths exceeding 100 MHz should be possible using relatively standard electronic and optoelectronic technology. Moreover, the scheme can directly accommodate microwave carrier frequencies to several tens of gigahertz.