Synthesis of Reversible Asynchronous Cellular Automata for Pattern Generation with Specific Hamming Distance

The reversibility issue of 1-dimensional asynchronous cellular automata (ACA) has been reported in [4]. The ACA rules are classified to synthesis reversible ACA. Characterization has been done to explore the update patterns of cells forming the reversible ACA. This work reports synthesis of reversible ACA for pattern generation, where specific Hamming distance between two consecutive ACA states of a cycle is maintained. A hardware realization of ACA is also reported that can effectively be utilized in VLSI circuit design, testing of asynchronous circuit, and Hamming code generation.