TheDiracsymbolisusedtorepresentthediscretecomplexHopfieldneuralnetworkmodel.Thesignal-to-noisetheoryandthecomputernumericalsolu-tionaremadetoanalysethestoragecapacityofthemodel.Thestoragecapacityra-tioofthemodelequalstothatoftheHopfieldmodel.Finally,usingthemodeltorecognizethe4-levelgreyorcolorpatternsisdiscussed.