Reversible synthesis in the walsh hadamard domain

  • Authors:
  • Milena Stankovi$#263/;Suzana Stojkovi$#263/

  • Affiliations:
  • Faculty of Electronic Engineering, University of Ni$#353/, Ni$#353/, Serbia;Faculty of Electronic Engineering, University of Ni$#353/, Ni$#353/, Serbia

  • Venue:
  • EUROCAST'11 Proceedings of the 13th international conference on Computer Aided Systems Theory - Volume Part II
  • Year:
  • 2011

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Abstract

The paper presents a method for reversible synthesis of Boolean functions based on the properties of theis Walsh-Hadamard spectra. To realize a function, each part of the reversible cascade is specified by an examination if certain appropriately defined conditions are satisfied by pairs of the Walsh-Hadamard spectral coefficients. The function to be realized is represented by a Binary Decision Diagram (BDD) and the Walsh-Hadamard spectrum is computed over this BDD. Experimental results show that the proposed method outperforms existing similar methods in terms of both the number of lines and gates.