Two-dimensional recursive filter design method based on P system and collaborative optimization strategy

Abstract

The invention belongs to the field of circuits and systems, and particularly relates to a two-dimensional recursive filter design method based on a P system and a collaborative optimization strategy, which comprises the following steps of: 1) establishing a model by performing mathematical analysis on a transfer function of a two-dimensional recursive filter; 2) combining a crossover mutation operator which is strong in global search capability but is easy to fall into local optimum, a cosine enhancement operator which is strong in local search capability but is slightly insufficient in population diversity mining, and a mixed membrane structure of a P system into a novel mixed operator capable of balancing convergence and diversity; 3) embedding an object updating rule represented by the operator into a P system with a mixed membrane structure to form a novel P system optimization algorithm (PHOA); 4) taking a numerical value combination of objects in the object set of the novel P system optimization algorithm as a model parameter group of a two-dimensional recursive filter, substituting the model parameter group into the two-dimensional recursive filter model, and calculating an error function between a two-dimensional recursive filter model parameter amplitude response M (omega1, omega2) and an ideal two-dimensional filter amplitude response Md (omega1, omega2); and 5) by minimizing the objective function, obtaining a parameter set and combining the parameter set with a filter model structure to form an optimal two-dimensional recursive digital filter meeting conditions. According to the scheme, the stability of the filter can be ensured, and compared with the previous scheme, the amplitude response of the two-dimensional recursive digital filter is closer to that of an ideal two-dimensional recursive digital filter.