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Multiple-state motion based on one-dimensional nonlinear map with a cascade AD and DA loop

The multiple-state motion (MSM) generated in nonlinear mapping with a cascade AD and DA loop is presented in this paper. It is ascertained that a non-uniform density quantization on the input and output of the map function makes those mapping states degenerate and MSM with a large number of states practicable. Nonlinear quantization in accordance with the characteristics of the applied map is utilized to acquire the MSM of more states. As one of the applications employing MSM, a high-radix adder is introduced to describe the possibilities of the hidden power of MSM application in multiple-valued logic (MVL) calculation.