  An integrated photonic circuit architecture to perform a modified-convolution
operation based on the Discrete Fractional Fourier Transform (DFrFT) is
introduced. This is accomplished by utilizing two nonuniformly-coupled
waveguide lattices with equally-spaced eigenmode spectra and with different
lengths that perform DFrDT operations of complementary orders sandwiching a
modulator array. Numerical simulations show that smoothing and edge detection
tasks are indeed performed even for noisy input signals.
