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Phase extraction pattern recognition is a special case of nonlinear matched filtering. The phase extraction procedure is executed on the input function's Fourier transform as well as on the filter function's Fourier transform, both of which are manipulated for correlation purposes. This novel process is examined theoretically, by computer simulations and(More)
We describe generalized projection procedures for the design of arbitrary filter functions for correlators. More specifically, serial and parallel implementations of projection-based algorithms are employed. The novelty of this procedure lies in its generality and its ability to handle wide varieties of constraints by the same procedure. The procedure is(More)
Multiple-object input to the recently introduced phase-extraction correlator may cause difficulties owing to interference effects. Similar effects have been observed previously in the nonlinear joint transform correlator. It is shown theoretically and by computer simulations that these effects are seldom observable in practice, and even then they can be(More)
We call a sequence fx n g in Hilbert space \spherical" if there exists u such that lim kx n ? uk exists and is nite. If moreover u is a weak accumulation point of the sequence, we call the sequence \spherically convergent". We demonstrate that for large classes of non-expansive (possibly non-stationary) discrete-time processes in Hilbert space the iterates(More)
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