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162                   2. Signal Processing with Optics








                        ( a )                         ( c }



            following subsets:
            (a) I and II.
            (b) 1 and V.
           (C) VI and X.
           (d) IX and XI.
            (e) III and IX.
       2.47 A set of the training patterns shown in Fig. 2.75 are to be stored in a
           neural network.
            (a) Use a Hopfield model to construct a one-level neuron network.
           (b) With reference to part (a), construct the memory matrix.
           (c) Determine the interconnections by logical operation.
           (d) Construct a one-level IPA neural net.
           (e) Compare the IPA model with the Hopfield model.
       2.48 Refer to the set of training images shown in Fig. 2.76. Synthesize a
           synthetic discriminant function filter (SDF).
       2.49 Consider the target set of Fig. 2.76. Synthesize a simulated annealing
            bipolar composite filter (SABCF).









                                     Fig. 2.76.
       2.50 Use Fig. 2.76 as the target set and Fig. 2.77 as the antitarget set, and
           synthesize a SABCF. In view of the results obtained in Exercises 2.48 and
           2.49, comment on the SDF and SABCF results.









                                     Fig. 2.77.
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