We show two universal, Boolean, deterministic logic schemes based on binary noise timefunctions that can be realized without time averaging units. The first scheme is based on a new bipolar random telegraph wave scheme and the second one makes use of the recent noise-based logic which is conjectured to be the brain's method of logic operations [Physics Letters A 373 (2009) 2338-2342 , arXiv:0902.2033 ]. For binary-valued logic operations, the two simple Boolean schemes presented in this paper use zero (no noise) for the logic Low (L) state. In the random telegraph wave-based scheme, for multi-valued logic operations, additive superpositions of logic states must be avoided, while multiplicative superpositions utilizing hyperspace base vectors can still be utilized. These modifications, while keeping the information richness of multi-valued (noise-based) logic, result in a significant speedup of logic operations for the same signal bandwidth. The logic hyperspace of the first scheme results random telegraph waves with the same statistical properties as the original noise bits. The hyperspace of the second scheme is the same as in the already published version .
We show two universal, Boolean, deterministic logic schemes based on binary noise timefunctions that can be realized without time-averaging units. The first scheme is based on a new bipolar random telegraph wave scheme and the second one makes use of the recent noise-based logic which is conjectured to be the brain's method of logic operations [Physics Letters A 373 (2009) 2338-2342 ]. Error propagation and error removal issues are also addressed .
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time averaging
time-averaging
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, arXiv:0902.2033
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For binary-valued logic operations, the two simple Boolean schemes presented in this paper use zero (no noise) for the logic Low (L) state. In the random telegraph wave-based scheme, for multi-valued logic operations, additive superpositions of logic states must be avoided, while multiplicative superpositions utilizing hyperspace base vectors can still be utilized. These modifications, while keeping the information richness of multi-valued (noise-based) logic, result in a significant speedup of logic operations for the same signal bandwidth. The logic hyperspace of the first scheme results random telegraph waves with the same statistical properties as the original noise bits. The hyperspace of the second scheme is the same as in the already published version
Error propagation and error removal issues are also addressed